BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
Unit1
1. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Counting numbers
Matem´ticas 1o E.S.O.
a
Alberto Pardo Milan´s
e
-
2. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
1 Numbers
2 Ordinal numbers
3 Basic operations and expressions
4 Powers
5 Order of Operations
6 Exercises
Alberto Pardo Milan´s
e Counting numbers
3. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Alberto Pardo Milan´s
e Counting numbers
4. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
5. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
6. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
7. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
8. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
9. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
10. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
11. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
12. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
13. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Natural numbers
IN is the set of natural numbers, also called counting numbers.
IN = {1, 2, 3, 4 . . . }. Whole numbers are {0, 1, 2, 3, 4 . . . }.
Read
• 0 Zero • 5 Five
• 1 One • 6 Six
• 2 Two • 7 Seven
• 3 Three • 8 Eight
• 4 Four • 9 Nine
Alberto Pardo Milan´s
e Counting numbers
19. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Large numbers
We can use commas to write large numbers. . .
• 1, 000 A/one thousand
• 1, 001 A/one thousand one
• 2, 000 Two thousand
• 10, 000 Ten thousand
• 100, 000 A/one hundred thousand
• 1, 000, 000 A/one million
Alberto Pardo Milan´s
e Counting numbers
20. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Large numbers
We can use commas to write large numbers. . .
• 1, 000 A/one thousand
• 1, 001 A/one thousand one
• 2, 000 Two thousand
• 10, 000 Ten thousand
• 100, 000 A/one hundred thousand
• 1, 000, 000 A/one million
Alberto Pardo Milan´s
e Counting numbers
21. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Numbers
Large numbers
We can use commas to write large numbers. . .
• 1, 000 A/one thousand
• 1, 001 A/one thousand one
• 2, 000 Two thousand
• 10, 000 Ten thousand
• 100, 000 A/one hundred thousand
• 1, 000, 000 A/one million
Alberto Pardo Milan´s
e Counting numbers
22. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Ordinal numbers
Alberto Pardo Milan´s
e Counting numbers
23. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Ordinal numbers
An ordinal number describes the numerical position of an object.
• 1st First • 11th Eleventh
• 2nd Second • 12th Twelfth
• 3rd Third • 13th Thirteenth
• 4th Fourth • 14th Fourteenth
• 5th Fifth • 15th Fifteenth
• 6th Sixth • 16th Sixteenth
• 7th Seventh • 17th Seventeenth
• 8th Eighth • 18th Eighteenth
• 9th Ninth • 19th Nineteenth
• 10th Tenth • 20th Twentieth
Alberto Pardo Milan´s
e Counting numbers
24. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Ordinal numbers
An ordinal number describes the numerical position of an object.
• 1st First • 11th Eleventh
• 2nd Second • 12th Twelfth
• 3rd Third • 13th Thirteenth
• 4th Fourth • 14th Fourteenth
• 5th Fifth • 15th Fifteenth
• 6th Sixth • 16th Sixteenth
• 7th Seventh • 17th Seventeenth
• 8th Eighth • 18th Eighteenth
• 9th Ninth • 19th Nineteenth
• 10th Tenth • 20th Twentieth
Alberto Pardo Milan´s
e Counting numbers
25. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Ordinal numbers
An ordinal number describes the numerical position of an object.
• 1st First • 11th Eleventh
• 2nd Second • 12th Twelfth
• 3rd Third • 13th Thirteenth
• 4th Fourth • 14th Fourteenth
• 5th Fifth • 15th Fifteenth
• 6th Sixth • 16th Sixteenth
• 7th Seventh • 17th Seventeenth
• 8th Eighth • 18th Eighteenth
• 9th Ninth • 19th Nineteenth
• 10th Tenth • 20th Twentieth
Alberto Pardo Milan´s
e Counting numbers
29. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and
expressions
Alberto Pardo Milan´s
e Counting numbers
30. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Sum or addition)
6 + 9 = 15
six plus nine is equal to fifteen or six plus nine is fifteen .
(Difference or subtraction)
20 − 3 = 17 twenty minus three is seventeen.
(Order)
2 < 8 two is less than eight.
12 > 5 Twelve is greater than five.
Alberto Pardo Milan´s
e Counting numbers
31. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Sum or addition)
6 + 9 = 15
six plus nine is equal to fifteen or six plus nine is fifteen .
(Difference or subtraction)
20 − 3 = 17 twenty minus three is seventeen.
(Order)
2 < 8 two is less than eight.
12 > 5 Twelve is greater than five.
Alberto Pardo Milan´s
e Counting numbers
32. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Sum or addition)
6 + 9 = 15
six plus nine is equal to fifteen or six plus nine is fifteen .
(Difference or subtraction)
20 − 3 = 17 twenty minus three is seventeen.
(Order)
2 < 8 two is less than eight.
12 > 5 Twelve is greater than five.
Alberto Pardo Milan´s
e Counting numbers
33. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Multiplication)
5 · 6 = 30
Five times six equals thirty or five multiplied by six is thirty.
(Division)
40 : 5 = 8 forty divided by five is equal to eight.
Sometimes a division is not exact, so you must write also the
remainder.
Forty-two divided by five is eight and two left because
42 = 5 · 8 + 2.
(Bracket and square bracket)
To make groups we can use brackets ( ) and square brackets [ ].
Alberto Pardo Milan´s
e Counting numbers
34. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Multiplication)
5 · 6 = 30
Five times six equals thirty or five multiplied by six is thirty.
(Division)
40 : 5 = 8 forty divided by five is equal to eight.
Sometimes a division is not exact, so you must write also the
remainder.
Forty-two divided by five is eight and two left because
42 = 5 · 8 + 2.
(Bracket and square bracket)
To make groups we can use brackets ( ) and square brackets [ ].
Alberto Pardo Milan´s
e Counting numbers
35. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Basic operations and expressions
(Multiplication)
5 · 6 = 30
Five times six equals thirty or five multiplied by six is thirty.
(Division)
40 : 5 = 8 forty divided by five is equal to eight.
Sometimes a division is not exact, so you must write also the
remainder.
Forty-two divided by five is eight and two left because
42 = 5 · 8 + 2.
(Bracket and square bracket)
To make groups we can use brackets ( ) and square brackets [ ].
Alberto Pardo Milan´s
e Counting numbers
36. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Powers
Alberto Pardo Milan´s
e Counting numbers
37. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Powers
Powers of numbers are made by repeated multiplication: a number
multiplied by itself several times.
A power is made of two parts: the base is the number being
multiplied, the index is the number of times you multiply.
Example: 34 = 3 · 3 · 3 · 3 = 81, 3 is the base, 4 is the index or the
exponent.
Read 34 = 81 three to the fourth power is eighty-one or three to
the power four is eighty-one.
When you square a number, you multiply it by itself.
Example: Read 52 = 25 five squared is twenty-five or the square of
five is twenty-five.
When you cube a number, you multiply it by itself three times.
Example: Read 53 = 125 five cubed is a hundred and twenty-five or
the cube of five is a hundred and twenty-five.
Alberto Pardo Milan´s
e Counting numbers
38. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Powers
Powers of numbers are made by repeated multiplication: a number
multiplied by itself several times.
A power is made of two parts: the base is the number being
multiplied, the index is the number of times you multiply.
Example: 34 = 3 · 3 · 3 · 3 = 81, 3 is the base, 4 is the index or the
exponent.
Read 34 = 81 three to the fourth power is eighty-one or three to
the power four is eighty-one.
When you square a number, you multiply it by itself.
Example: Read 52 = 25 five squared is twenty-five or the square of
five is twenty-five.
When you cube a number, you multiply it by itself three times.
Example: Read 53 = 125 five cubed is a hundred and twenty-five or
the cube of five is a hundred and twenty-five.
Alberto Pardo Milan´s
e Counting numbers
39. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
Alberto Pardo Milan´s
e Counting numbers
40. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
• Simplify the expressions inside grouping symbols, like
brackets, square brackets, ....
√
7 + (3 + 2)2 − 16 · 3 : 2
• Find the value of all powers and roots.
√
7 + 52 − 16 · 3 : 2
• Multiply and divide in order from left to right.
7 + 25 − 4 · 3 : 2
• Add and subtract in order from left to right.
7 + 25 − 6
26
Alberto Pardo Milan´s
e Counting numbers
41. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
• Simplify the expressions inside grouping symbols, like
brackets, square brackets, ....
√
7 + (3 + 2)2 − 16 · 3 : 2
• Find the value of all powers and roots.
√
7 + 52 − 16 · 3 : 2
• Multiply and divide in order from left to right.
7 + 25 − 4 · 3 : 2
• Add and subtract in order from left to right.
7 + 25 − 6
26
Alberto Pardo Milan´s
e Counting numbers
42. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
• Simplify the expressions inside grouping symbols, like
brackets, square brackets, ....
√
7 + (3 + 2)2 − 16 · 3 : 2
• Find the value of all powers and roots.
√
7 + 52 − 16 · 3 : 2
• Multiply and divide in order from left to right.
7 + 25 − 4 · 3 : 2
• Add and subtract in order from left to right.
7 + 25 − 6
26
Alberto Pardo Milan´s
e Counting numbers
43. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
• Simplify the expressions inside grouping symbols, like
brackets, square brackets, ....
√
7 + (3 + 2)2 − 16 · 3 : 2
• Find the value of all powers and roots.
√
7 + 52 − 16 · 3 : 2
• Multiply and divide in order from left to right.
7 + 25 − 4 · 3 : 2
• Add and subtract in order from left to right.
7 + 25 − 6
26
Alberto Pardo Milan´s
e Counting numbers
44. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Order of Operations
• Simplify the expressions inside grouping symbols, like
brackets, square brackets, ....
√
7 + (3 + 2)2 − 16 · 3 : 2
• Find the value of all powers and roots.
√
7 + 52 − 16 · 3 : 2
• Multiply and divide in order from left to right.
7 + 25 − 4 · 3 : 2
• Add and subtract in order from left to right.
7 + 25 − 6
26
Alberto Pardo Milan´s
e Counting numbers
45. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Alberto Pardo Milan´s
e Counting numbers
46. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight:
One hundred and two:
Two hundred and seventy-three:
Three thousand, nine hundred and eleven:
One hundred and two thousand, eight hundred and ten:
Two million, twenty thousand, five hundred and four:
Alberto Pardo Milan´s
e Counting numbers
47. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
48. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
49. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
50. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
51. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
52. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 1
Write the correct number:
Forty-eight: 48
One hundred and two: 102
Two hundred and seventy-three: 273
Three thousand, nine hundred and eleven: 3, 911
One hundred and two thousand, eight hundred and ten: 102, 810
Two million, twenty thousand, five hundred and four:2, 020, 504
Alberto Pardo Milan´s
e Counting numbers
53. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63
245
504
1,617
3,024
10,981
123,450
3,413,012
Alberto Pardo Milan´s
e Counting numbers
54. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
55. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
56. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
57. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
58. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
59. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
60. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
61. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 2
How can we read these numbers?
63 sixty-three
245 two hundred and forty-five
504 five hundred and four
1,617 One thousand, six hundred and seventeen
3,024 Three thousand and twenty-four
10,981 Ten thousand, nine hundred and eighty-one
123,450 One hundred and twenty-three thousand, four
hundred and fifty
3,413,012 Three million, four hundred and thirteen thousand
and twelve
Alberto Pardo Milan´s
e Counting numbers
62. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3·4+5·2=
13 + 5 · 10 =
18 : 3 + 28 : 7 =
9 · 8 − 54 : 6 =
20 · 9 − 11 · 7 + 81 : 9 =
Alberto Pardo Milan´s
e Counting numbers
63. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3 · 4 + 5 · 2 = 22, twenty-two
13 + 5 · 10 =63, sixty-three
18 : 3 + 28 : 7 =10, ten
9 · 8 − 54 : 6 =63, sixty-three
20 · 9 − 11 · 7 + 81 : 9 =112, one hundred and twelve
Alberto Pardo Milan´s
e Counting numbers
64. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3 · 4 + 5 · 2 = 22, twenty-two
13 + 5 · 10 =63, sixty-three
18 : 3 + 28 : 7 =10, ten
9 · 8 − 54 : 6 =63, sixty-three
20 · 9 − 11 · 7 + 81 : 9 =112, one hundred and twelve
Alberto Pardo Milan´s
e Counting numbers
65. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3 · 4 + 5 · 2 = 22, twenty-two
13 + 5 · 10 =63, sixty-three
18 : 3 + 28 : 7 =10, ten
9 · 8 − 54 : 6 =63, sixty-three
20 · 9 − 11 · 7 + 81 : 9 =112, one hundred and twelve
Alberto Pardo Milan´s
e Counting numbers
66. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3 · 4 + 5 · 2 = 22, twenty-two
13 + 5 · 10 =63, sixty-three
18 : 3 + 28 : 7 =10, ten
9 · 8 − 54 : 6 =63, sixty-three
20 · 9 − 11 · 7 + 81 : 9 =112, one hundred and twelve
Alberto Pardo Milan´s
e Counting numbers
67. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 3
Evaluate these arithmetic expressions and write down how we read
the answer:
3 · 4 + 5 · 2 = 22, twenty-two
13 + 5 · 10 =63, sixty-three
18 : 3 + 28 : 7 =10, ten
9 · 8 − 54 : 6 =63, sixty-three
20 · 9 − 11 · 7 + 81 : 9 =112, one hundred and twelve
Alberto Pardo Milan´s
e Counting numbers
68. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 4
Put these numbers in order from least to greatest:
53025, 45422, 33452, 25242, 33542, 25232.
Alberto Pardo Milan´s
e Counting numbers
69. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 4
Put these numbers in order from least to greatest:
53025, 45422, 33452, 25242, 33542, 25232.
25232 < 25242 < 33452 < 33542 < 45422 < 53025
Alberto Pardo Milan´s
e Counting numbers
70. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 5
Do the sums and fill in the blank the right symbol (greater than or
less than):
12 + 54 34 + 23:
54 + 23 49 + 25 :
12 + 7 7 + 13 :
(34 + 40) + 3 16 + 60 :
13 + 12 22 + 4 :
52 + 17 28 + 45 :
Alberto Pardo Milan´s
e Counting numbers
77. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:
103 > 99:
32 + 20 = 52:
104 − 31 = 73:
123 · 100 = 12300:
4234 : 2 = 2117:
Alberto Pardo Milan´s
e Counting numbers
78. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
79. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
80. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
81. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
82. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
83. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 6
How can we read the following expressions?
24 < 35:twenty-four is less than thirty-five
103 > 99: one hundred and three is greater than ninety-nine
32 + 20 = 52: thirty-two plus twenty is equal to fifty-two
104 − 31 = 73: one hundred and four minus thirty-one is
seventy-three
123 · 100 = 12300: one hundred and twenty-three times one
hundred is equal to twelve thousand, three hundred
4234 : 2 = 2117: four thousand, two hundred and thirty-four
divided by two is equal to two thousand, one hundred and
seventeen
Alberto Pardo Milan´s
e Counting numbers
84. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 7
Write how we read the following years:
1977
2001
1492
Alberto Pardo Milan´s
e Counting numbers
85. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 7
Write how we read the following years:
1977 nineteen seventy-seven
2001 two thousand and one
1492 fourteen ninety-two
Alberto Pardo Milan´s
e Counting numbers
86. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 7
Write how we read the following years:
1977 nineteen seventy-seven
2001 two thousand and one
1492 fourteen ninety-two
Alberto Pardo Milan´s
e Counting numbers
87. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 7
Write how we read the following years:
1977 nineteen seventy-seven
2001 two thousand and one
1492 fourteen ninety-two
Alberto Pardo Milan´s
e Counting numbers
88. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 8
An athlete runs 1200m every day during a week. How many km
does he run?
Alberto Pardo Milan´s
e Counting numbers
89. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 8
An athlete runs 1200m every day during a week. How many km
does he run?
Data:
He runs 1200 m
a day. 1200 · 7 = 8400
He runs for a 8400 m = 8, 4 km Answer: He
week. runs 8,4 km
Alberto Pardo Milan´s
e Counting numbers
90. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 8
An athlete runs 1200m every day during a week. How many km
does he run?
Data:
He runs 1200 m
a day. 1200 · 7 = 8400
He runs for a 8400 m = 8, 4 km Answer: He
week. runs 8,4 km
Alberto Pardo Milan´s
e Counting numbers
91. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 8
An athlete runs 1200m every day during a week. How many km
does he run?
Data:
He runs 1200 m
a day. 1200 · 7 = 8400
He runs for a 8400 m = 8, 4 km Answer: He
week. runs 8,4 km
Alberto Pardo Milan´s
e Counting numbers
92. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 9
Ana has got e13; she wants to buy a toy, but she needs 21 euros
more. How much does the toy cost?
Alberto Pardo Milan´s
e Counting numbers
93. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 9
Ana has got e13; she wants to buy a toy, but she needs 21 euros
more. How much does the toy cost?
Data:
She has got
e13.
She needs e21 13 + 21 = 34 Answer: The
more. toy costs e34
Alberto Pardo Milan´s
e Counting numbers
94. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 9
Ana has got e13; she wants to buy a toy, but she needs 21 euros
more. How much does the toy cost?
Data:
She has got
e13.
She needs e21 13 + 21 = 34 Answer: The
more. toy costs e34
Alberto Pardo Milan´s
e Counting numbers
95. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 9
Ana has got e13; she wants to buy a toy, but she needs 21 euros
more. How much does the toy cost?
Data:
She has got
e13.
She needs e21 13 + 21 = 34 Answer: The
more. toy costs e34
Alberto Pardo Milan´s
e Counting numbers
96. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 10
Jaime has to read a book with 98 pages in a week. How many
pages must he read each day?
Alberto Pardo Milan´s
e Counting numbers
97. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 10
Jaime has to read a book with 98 pages in a week. How many
pages must he read each day?
Data:
He has to read 98
pages. Answer: Jaime
He reads for a 98 : 7 = 14 reads 14 pages a
week. day
Alberto Pardo Milan´s
e Counting numbers
98. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 10
Jaime has to read a book with 98 pages in a week. How many
pages must he read each day?
Data:
He has to read 98
pages. Answer: Jaime
He reads for a 98 : 7 = 14 reads 14 pages a
week. day
Alberto Pardo Milan´s
e Counting numbers
99. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 10
Jaime has to read a book with 98 pages in a week. How many
pages must he read each day?
Data:
He has to read 98
pages. Answer: Jaime
He reads for a 98 : 7 = 14 reads 14 pages a
week. day
Alberto Pardo Milan´s
e Counting numbers
100. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 11
Luis gets e6 every week and he spends 4 euros. How many weeks
does he need to save 18 euros to buy a book?
Alberto Pardo Milan´s
e Counting numbers
101. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 11
Luis gets e6 every week and he spends 4 euros. How many weeks
does he need to save 18 euros to buy a book?
Data:
He gets e6 a
week.
He spends e4 a
week. 6−4=2 Answer: Luis
He needs to save 18 : 2 = 9 needs 9
e18. weeks
Alberto Pardo Milan´s
e Counting numbers
102. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 11
Luis gets e6 every week and he spends 4 euros. How many weeks
does he need to save 18 euros to buy a book?
Data:
He gets e6 a
week.
He spends e4 a
week. 6−4=2 Answer: Luis
He needs to save 18 : 2 = 9 needs 9
e18. weeks
Alberto Pardo Milan´s
e Counting numbers
103. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 11
Luis gets e6 every week and he spends 4 euros. How many weeks
does he need to save 18 euros to buy a book?
Data:
He gets e6 a
week.
He spends e4 a
week. 6−4=2 Answer: Luis
He needs to save 18 : 2 = 9 needs 9
e18. weeks
Alberto Pardo Milan´s
e Counting numbers
104. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 12
A grandfather has e743 and three grandsons. He wants to give the
same amount of money to each boy. How much does each boy
get? Is there any money left?
Alberto Pardo Milan´s
e Counting numbers
105. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 12
A grandfather has e743 and three grandsons. He wants to give the
same amount of money to each boy. How much does each boy
get? Is there any money left?
Data: Answer:
He has e743. Divide Each boy
He has 3 743 = 247 · 3 + 2 gets e247
grandsons. and e2 left
Alberto Pardo Milan´s
e Counting numbers
106. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 12
A grandfather has e743 and three grandsons. He wants to give the
same amount of money to each boy. How much does each boy
get? Is there any money left?
Data: Answer:
He has e743. Divide Each boy
He has 3 743 = 247 · 3 + 2 gets e247
grandsons. and e2 left
Alberto Pardo Milan´s
e Counting numbers
107. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 12
A grandfather has e743 and three grandsons. He wants to give the
same amount of money to each boy. How much does each boy
get? Is there any money left?
Data: Answer:
He has e743. Divide Each boy
He has 3 743 = 247 · 3 + 2 gets e247
grandsons. and e2 left
Alberto Pardo Milan´s
e Counting numbers
108. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 13
Alfred has 55 Australian square coins. He wants to stick coins to
get a big square. How many coins can he use to do it? How many
coins left?
Alberto Pardo Milan´s
e Counting numbers
109. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 13
Alfred has 55 Australian square coins. He wants to stick coins to
get a big square. How many coins can he use to do it? How many
coins left?
Data: He has 55 coins.
72 = 49, 82 = 64 Answer: He can do a big
55 − 49 = 6 square with 49 coins and 6
coins left
Alberto Pardo Milan´s
e Counting numbers
110. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 13
Alfred has 55 Australian square coins. He wants to stick coins to
get a big square. How many coins can he use to do it? How many
coins left?
Data: He has 55 coins.
72 = 49, 82 = 64 Answer: He can do a big
55 − 49 = 6 square with 49 coins and 6
coins left
Alberto Pardo Milan´s
e Counting numbers
111. Indice Numbers Ordinal numbers Operations Powers Order of Operations Exercises
Exercises
Exercise 13
Alfred has 55 Australian square coins. He wants to stick coins to
get a big square. How many coins can he use to do it? How many
coins left?
Data: He has 55 coins.
72 = 49, 82 = 64 Answer: He can do a big
55 − 49 = 6 square with 49 coins and 6
coins left
Alberto Pardo Milan´s
e Counting numbers