1. GOAL 1
T H E S T U D E N T W I L L B E A B L E T O R E A D
A N D W R I T E W H O L E N U M B E R S I N
F I G U R E S A N D W O R D S A N D K N O W
W H AT E A C H D I G I T R E P R E S E N T S .

2. GOAL 1
 PLACE VALUE TO MILLIONS
 COMPARING AND ORDERING NUMBERS,
NUMBER NAMES
 ADDING AND SUBSTRACTING MENTALLY
MULTIPLES OF POWERS OF 10
 MULTIPLIYING AND DIVIDING MENTALLY
BY 10,100 AND 1000
 ESTIMATING AND POSITIONING
NUMBERS ON A 0-10 000 AND 0-1000 LINE
 ESTIMATING QUANTITIES
 ROUNDING TO THE NEAREST 1000 OR
100

3. KEY VOCABULARY

4. STANDARD FORM VS. EXPANDED FORM

5. PLACE VALUE TO MILLIONS
IDENTIFYING PLACE VALUE
Numbers, such as 6,495,784 have seven digits. Each digit is a different
place value.
The first digit is called the millions' place value.
There are six millions in the number 6,495,784.
The second digit tells you how many sets of one hundred thousand are in the
number.
The number 6,495,784 has four hundred thousands.
The third digit is the ten thousands' place.
There are nine ten thousands
The fourth digit is the one thousands' place
In this example is five
The fifth digit is the hundreds' place
In this example is seven
The next digit is the tens' place.
In this example is eight
The last or right digit is the ones' place
In this example is four

6. There are …
• Six sets of 1,000,000
• Four sets of 100,000
• Nine sets of 10,000
• Five sets of 1000
• Seven sets of 100
• Eight sets of 10
• 4 ones
6,495,784
Therefore

7. PLACE VALUE TO MILLIONS

8. EXERCISES TO PRACTICE
Question-1: In this number 5,458 . What number is in the tens
place?
Question-2: In this number 12,802 . What number is in the
hundreds place?
Question-3: In this number 359.210 . What number is in the
thousandths places?
Question-4: In this number 3,768,574. What number is in the
millions place?

9. WORD PROBLEM

11. EXERCISES TO PRACTICE

12. SOLVING THE PROBLEM

13. EXERCISES TO PRACTICE

14. GOING FARTHER…

15. LET´S PRACTICE IN CLASS…

16. SOLVING IT…

17. ADDING/SUBSTRACTING MENTALLY
MULTIPLES OF POWERS OF 10

18. ADDING/SUBSTRACTING MENTALLY
MULTIPLES OF POWERS OF 10

19. ADDING/SUBSTRACTING MENTALLY
MULTIPLES OF POWERS OF 10
When the number that we are adding is a multiple of 1000…
In case of substracting a multiple of powers of 10…

20. EXAMPLES ADDING/SUBSTRACTING
MULTIPLES OF POWERS OF 10…
EXERCISES TO PRACTICE

21. MULTIPLYING/DIVIDING MENTALLY BY
10, 100, 1000

22. PRACTICING IN THE CLASSROOM

23. PRACTICING IN THE CLASSROOM

24. ESTIMATING AND POSITIONING NUMBERS
ON A 0-10 000 AND 0-1000 LINE

25. ESTIMATING AND POSITIONING
NUMBERS ON A 0-10 000 AND 0-1000
LINE

26. ESTIMATING QUANTITIES
Estimating is an important part of mathematics and a
very handy tool for everyday life. Get in the habit of
estimating amounts of money, lengths of
time, distances, and many other physical quantities.
In mathematics we often stress getting an exact
answer.
But in everyday life a few cents here or there are not
going to make much difference ... you should focus
on the dollars!
Estimation is ...
... finding a number that is close enough to the right
answer.
You are not trying to get the exact right answer What
you want is something that is good
enough (usually in a hurry!)

27. Estimation can save you money. Always do a quick
estimation of how much you should pay:
Example: you want to buy five magazines that cost
$1.95 each. When you go to buy them the cost is
$12.25. Is that right?
"five at $1.95 each is about 5 times 2, or about $10"
so $12.25 seems too much!
Ask to have the total checked.
ESTIMATING QUANTITIES

28. Estimation can save you time (when the calculation does not
have to be exact):
Example: You want to plant a row of flowers. The row is
58.3cm long. The plants should be 6cm apart. How many
do you need?
"58.3 is nearly 60, and 60 divided by 6 is 10, so 10 plants
should be enough."
Estimation can save you from making mistakes with your
calculator:
Example: You are calculating 107 times 56, and the
calculator shows this:
952.00
Is that right?
"107 times 56 is a bit more more than 100 times 50, which is
5,000"
Ooops! you must have typed something wrong ...
... in fact you pressed 17×56 (you left out the zero), and
without estimating you could have made a really big
mistake!
ESTIMATING QUANTITIES

29. To round off whole numbers:
Find the place value you want (the "rounding digit") and look to
the digit just to the right of it.
If that digit is less than 5, do not change the "rounding digit" but
change all digits to the right of the "rounding digit" to zero.
If that digit is greater than or equal to 5, add one to the rounding
digit and change all digits to the right of the rounding digit to
zero.
ROUNDING TO THE NEAREST 1000/100

30. ROUNDING TO THE NEAREST 1000/100
• EXERCISES TO
PRACTICE

31. HAVE A WONDERFUL REST OF
DAY