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Math1003 1.13 - Significant Digits, Accuracy, Precision
1.
1.13 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits, Accuracy, and Precision MATH1003
2.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal To be able to define the concepts of significant digits, accuracy, and precision with respect to numbers. MATH1003
3.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits “A crowd of 7,000 people had gathered to watch the parade.” MATH1003
4.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits “They planted 2,124 daffodils this year.” MATH1003
5.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 7000 2214 The number of important, or “significant,” digits in these numbers are different. MATH1003
6.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 7000 2214 In 7000, there is only one significant digit. MATH1003
7.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 7000 2214 In 7000, there is only one significant digit. MATH1003
8.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 7000 2214 In 7000, there is only one significant digit. In 2214, there are four significant digits. MATH1003
9.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits MATH1003
10.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules MATH1003
11.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules ❖ All non-zero digits are significant. MATH1003
12.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. MATH1003
13.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. MATH1003
14.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
15.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
16.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
17.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
18.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 527 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
19.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 527 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
20.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 527 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
21.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 527 527 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
22.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
23.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
24.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 -5,032 has 4 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
25.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 -5,032 has 4 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
26.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 -5,032 has 4 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
27.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 -5,032 has 4 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
28.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -5,032 -5,032 has 4 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
29.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
30.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
31.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 3.68 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
32.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 3.68 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
33.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 3.68 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
34.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3.68 3.68 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
35.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -0.0019 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
36.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -0.0019 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
37.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -0.0019 -0.0019 has 2 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
38.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -0.0019 -0.0019 has 2 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
39.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -0.0019 -0.0019 has 2 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
40.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
41.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
42.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
43.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
44.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
45.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
46.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
47.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 15,009 15,009 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
48.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
49.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
50.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
51.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
52.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
53.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
54.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
55.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 23.004 23.004 has 5 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
56.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
57.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
58.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 -27,500 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
59.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 -27,500 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
60.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 -27,500 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
61.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits -27,500 -27,500 has 3 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
62.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
63.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
64.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
65.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
66.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
67.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
68.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
69.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
70.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Significant Digits 3,000.00 3,000.00 has 6 significant digits Rules ❖ All non-zero digits are significant. ❖ Zero (0) is a significant digit if it is between two significant digits. ❖ Leading 0s are not significant. ❖ Trailing 0s are significant only if the number contains a decimal point. MATH1003
71.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy MATH1003
72.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition The accuracy of a number is the number of significant digits in the number. MATH1003
73.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition The accuracy of a number is the number of significant digits in the number. 3.02 MATH1003
74.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition Definition The accuracy of a number is the number of significant digits in the number. 3.02 This number is accurate to 3 significant digits. MATH1003
75.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition Definition The accuracy of a number is the number of significant digits in the number. MATH1003
76.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition Definition The accuracy of a number is the number of significant digits in the number. -1,470 MATH1003
77.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Accuracy Definition Definition The accuracy of a number is the number of significant digits in the number. -1,470 This number is accurate to 3 significant digits. MATH1003
78.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision MATH1003
79.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition The precision of a number is the place value of the rightmost significant digit. MATH1003
80.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition The precision of a number is the place value of the rightmost significant digit. 3.02 MATH1003
81.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. 3.02 This number has a precision of 0.01 MATH1003
82.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. 3.02 This number has a precision of 0.01 MATH1003
83.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -1,470 MATH1003
84.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -1,470 This number has a precision of 10 MATH1003
85.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -1,470 This number has a precision of 10 MATH1003
86.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -0.006043 MATH1003
87.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -0.006043 This number has a precision of 0.000001 or 10-6 MATH1003
88.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Precision Definition Definition The precision of a number is the place value of the rightmost significant digit. -0.006043 This number has a precision of 0.000001 or 10-6 MATH1003
89.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises MATH1003
90.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 MATH1003
91.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 What is the accuracy and precision of the exchange rate? Accuracy ______ Precision ________________________ MATH1003
92.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 What is the accuracy and precision of the exchange rate? Accuracy ______ Precision ________________________ MATH1003
93.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 What is the accuracy and precision of the exchange rate? 4 Accuracy ______ Precision ________________________ MATH1003
94.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 What is the accuracy and precision of the exchange rate? 4 Accuracy ______ Precision ________________________ MATH1003
95.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On Monday, the Canadian dollar was trading against the US dollar at 0.9985 What is the accuracy and precision of the exchange rate? 4 Accuracy ______ Precision ________________________ -4 .0001 or 10 MATH1003
96.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises MATH1003
97.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 MATH1003
98.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 What is the accuracy and precision of the polpulation count? Accuracy ______ Precision ________________________ MATH1003
99.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 What is the accuracy and precision of the polpulation count? Accuracy ______ Precision ________________________ MATH1003
100.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 What is the accuracy and precision of the polpulation count? 4 Accuracy ______ Precision ________________________ MATH1003
101.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 What is the accuracy and precision of the polpulation count? 4 Accuracy ______ Precision ________________________ MATH1003
102.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises On this sign, it is posted that the population of Toronto is 2,482,000 What is the accuracy and precision of the polpulation count? 4 Accuracy ______ Precision ________________________ 3 1000 or 10 MATH1003
103.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises MATH1003
104.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers MATH1003
105.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers MATH1003
106.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers MATH1003
107.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers What is the accuracy and precision of the distance? Accuracy ______ Precision ________________________ MATH1003
108.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers What is the accuracy and precision of the distance? Accuracy ______ Precision ________________________ MATH1003
109.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers What is the accuracy and precision of the distance? 2 Accuracy ______ Precision ________________________ MATH1003
110.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers What is the accuracy and precision of the distance? 2 Accuracy ______ Precision ________________________ MATH1003
111.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises The distance between Toronto, Canada and Dublin, Ireland is 5300 kilometers What is the accuracy and precision of the distance? 2 Accuracy ______ Precision ________________________ 2 100 or 10 MATH1003
112.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises MATH1003
113.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 MATH1003
114.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 What is the accuracy and precision of the percentage? Accuracy ______ Precision ________________________ MATH1003
115.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 What is the accuracy and precision of the percentage? Accuracy ______ Precision ________________________ MATH1003
116.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 What is the accuracy and precision of the percentage? 3 Accuracy ______ Precision ________________________ MATH1003
117.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 What is the accuracy and precision of the percentage? 3 Accuracy ______ Precision ________________________ MATH1003
118.
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Exercises In a previous federal election, the percentage of registered voters that voted was 64.9 What is the accuracy and precision of the percentage? 3 Accuracy ______ Precision ________________________ -1 0.1 or 10 MATH1003
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