1. Place Value

2. What is place value? Place Value: tells us what value
each number has because of
its place, or position, in any number.

3. Tens
Ones
Thousands
Hundreds

4. How Many?
Hundreds
Tens
Ones
200 30 5
235

5. How Many?
Hundreds
Tens
Ones

6. 3 4 7 Which numeral is in the tens place?
Hundreds
Ones
If you said “4,” you were right!
4 = 4 tens or 40

7. 6 9 2 Which numeral is in the hundreds place?
Tens
Ones
If you said “6,” you were right!
6 = 6 hundreds or 600

8. What is the standard form of?
4,367
4,367
Standard Form is written using numbers – how we usually see numbers in the real world.

9. What is the expanded form of?
4,367 4, or
(4*1,000) + (3* 100) + (6*10) + (7*1)
(4*10³) + (3* 10²) + (6*10) + (7*1)
Expanded Form- is writing out each digits value.

10. What is the expanded form of?
56,803
50, ,
(5*10,000) + (6* 1,000) + (8*100) + (3*1)
(5*10⁴) + (6* 10³) + (8*10²) + (3*1)

11. What is the expanded form of?
79.503
(7*10)+ (9*1) + (5*.1) + (3*.001)

12. What is the standard form of?6,
6,823

13. four thousand, three hundred
What is the word form of?
4,367
four thousand, three hundred
sixty-seven
Word Form is writing numbers using words.

14. What is the word form of?
29.012
Twenty-nine and
twelve thousandths

15. What are the periods of this number?
Trillion
Billion
Million
Thousand
Ones
684,367,671,690,492

16. How to read large numbers
Read the numbers before the comma as if you were reading in the one’s column.
Say the period you are in when you get to the comma except for the one’s period.
Trillion
Billion
Million
Thousand
Ones
684,367,671,690,492

17. 4,371,024 Read this number four million, three hundred
seventy-one thousand, twenty-four

18. 973,104 Read this number nine hundred seventy-three
thousand, one hundred four

19. 384,133,472 Read this number three hundred eighty-four million,
one hundred thirty-three thousand,
four hundred seventy-two

20. Read this number
1,874,304,039,270
one trillion, eight hundred seventy-four
billion, three hundred four million,
thirty-nine thousand,
two hundred seventy

21. eight hundred twenty-nine thousand,
Read this number
4,829,905
four million,
eight hundred twenty-nine thousand,
nine hundred five

22. Remember that each period has three place values within the period
Tens Trillion
Hundreds
Ones
Tens Billion
Hundreds
Ones
Tens Million
Hundreds
Ones
Tens Thousand
Hundreds
Ones
Tens Ones
Hundreds
Ones
684,367,671,690,492

23. What place value is the 8 in this number?
4,829,905
Place- Hundred thousands
Value- 8 hundred thousand or
800,000

24. What place value is the 2 in this number?
4,829,105
Place -Ten thousands
Value- 20 thousand or
20,000

25. What place value is the 4 in this number?
4,829,105
Place- Millions
Value- 4 Million or
4,000,000

26. What place value is the 5 in this number?
654,829,103
Place- Ten millions
Value- 50 million or
50,000,000

27. What is this number in standard form?
Ninety thousand, four hundred eight
90,408

28. What is this number in standard form?
Seven million, twenty-two thousand, two hundred
7,022,200

29. What is this number in expanded form?
7,021,500
7,000, , ,

30. A decimal is a part of a whole.
What is a decimal?
A decimal is a part of a whole.

31. Think about money.
One dollar, 4 dimes, and 3 pennies is written in decimal form.
$1.43
WHOLE
PART

32. It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar.
$0.10 = one dime
It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar.
$0.01 = one penny

33. Money in Numbers $ Dollar Sign Dollar Bill $1.00 Quarter $0.25 Dime
$0.10
Nickle
$0.05
Penny
$0.01

34. Money is one way we use decimals every day, but decimals are used for more than just money.

35. Decimals can also be shown on the place value chart.

36. Everything to the right of the decimal point is PART of a whole.
Everything to the left of the decimal point is a WHOLE number.

37. This shows 14 (fourteen) spiders.

38. This shows 115 (one hundred fifteen) candy-corns.

39. one hundred
thirty
-four
and
seven ten-thousandths 1 3 4

40. Decimals show parts of wholes in divisions of ten.
tenths
one whole

41. hundredths thousandths
Decimals can show parts of wholes in divisions of hundreds or thousands.

42. tenths
one
hundredths
thousandths

43. Now practice writing and saying some decimals.
What portion of the square is green? What portion of the square is yellow?

44. 4 (or four tenths) of the square is green
0.4 (or four tenths) of the square is green (six tenths) of the square is yellow.
0.4
0.6