1. WHOLE SIDEPART SIDE Place Value Chart - Values are greater than or equal to a whole - Powers of 10 have positive exponents tenthshundredthsthousandthsten thousandths hundred thousandths Exception: The power of 10 for 1 is 10 0 - The exponent tells the number of zeros - Values are arranged into periods - Each period has 3 places: ones, tens, hundreds billionsmillionsthousandsones tenshundredsonestenshundreds - Values are between 0 and 1 - Powers of 10 have negative exponents - The exponent tells the number of places right of the decimal

2. Values are arranged into periods Each period or group is divided into 3 places – ones, tens, hundreds. Each period or group is separated by a comma. tenthshundredthsthousandthsten thousandths hundred thousandths Place Value Patterns billionsmillionsthousandsones tenshundredsonestenshundreds

3. Each place is 10 times greater than the place to its right. tenthshundredthsthousandthsten thousandths hundred thousandths Place Value Patterns 11 x 10 =1010 x 10 =100100 x 10 =1000

4. Values on the part side end in “ths” Values mirror the whole side, but there is no oneths place tenthshundredthsthousandthsten thousandths hundred thousandths Place Value Patterns

5. Reading Large Numbers Read the numbers in the first period. At the comma, say the name of the period you just read. Repeat with each period. In the ones period, just read the number. Do not say the name of the period. 8502,04,7 38million 3 thousandsmillions 502thousand47 2050,10,0 42million 4 thousandsmillions 50thousand100

6. Reading Small Numbers Read the whole number At the decimal, read the word “and” Underline the final digit on the part side Identify its place value Read the part side as you normally would Say the final place value 1016 ten thousandths 4,502 4 thousand 5 hundred 2. and 1 thousand 16 ten thousandths tenthshundredthsthousandths ten thousandths

7. Reading Small Numbers Read the whole number At the decimal, read the word “and” Underline the final digit on the part side Identify its place value Read the part side as you normally would Say the final place value 025 thousandths 340 3 hundred 40. and 25 thousandths tenthshundredthsthousandths

8. Reading Small Numbers If there is no whole number, just skip to the part side Underline the final digit on the part side Identify its place value Read the part side as you normally would Say the final place value 318 thousandths 0. 358 thousandths tenthshundredthsthousandths

9. Fill in the digits so the last digit is in the last space at the right. Fill in any extra spaces in front with zeros Draw a decimal point and mark spaces up to the place identified. three hundred fifty-nineten thousandths. tenthshundredthsthousandthsten thousandths 3 5 9 0 Writing Small Numbers

10. Fill in the digits so the last digit is in the last space at the right. Fill in any extra spaces in front with zeros Draw a decimal point and mark spaces up to the place identified. fourteenten thousandths. tenthshundredthsthousandthsten thousandths 1 4 0 Writing Small Numbers 0

11. Fill in the digits so the last digit is in the last space at the right. Write the whole number Write a decimal for the word “and” Mark spaces up to the place identified six thousandths. tenthshundredthsthousandths 7 3 8 Writing Small Numbers andseven hundred thirty-eight 6

12. Place Value Let’s practice some place value exercises!

13. Write the value of the underlined digit 67,985,046 80,000

14. Write the value of the underlined digit 67,985,046 40

15. Write the value of the underlined digit 67,985,046 7,000,000

16. Write the value of the underlined digit 125,761,942 700,000

17. Write the value of the underlined digit 125,761,942 1,000

18. Write the value of the underlined digit as a power of 10 43,520,819 5 x 100,000

19. Write the value of the underlined digit as a power of 10 43,520,819 8 x 100

20. Write the value of the underlined digit as a power of 10 43,520,819 9 x 1

21. Write the value of the underlined digit as a power of 10 43,520,810 1 x 10

22. Write the value of the underlined digit as a power of 10 43,520,810 5 x 100,000

23. Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 2 x 10 3

24. Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 4 5 5 x 10 5

25. Write the value of the underlined digit as a power of 10 with exponents 179,542,603 1 2 3 4 5 6 7 7 x 10 7

26. Write the value of the underlined digit as a power of 10 with exponents 179,542,603 3 x 10 0

27. Round to the hundreds place. 52,684 52,700

28. Round to the ten thousands place. 869,417,205 869,420,000

29. Round to the thousands place. 146,207,219 146,207,000

30. Round to the hundred thousands place. 3,958,216 4,000,000