whole sidepart side place value chart - values are greater than or equal to a whole - powers of 10...

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WHOLE SIDE PART SIDE Place Value Chart - Values are greater than or equal to a whole - Powers of 10 have positive exponents tenths hundredths thousandths ten 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 billions millions thousands ones ones tens hundreds ones tens hundreds - Values are between 0 and 1 - Powers of 10 have negative exponents - The exponent tells the number of places right of the decimal

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WHOLE SIDE PART SIDE

Place Value Chart

- Values are greater than or equal to a whole

- Powers of 10 have positive exponents

ten

ths

hu

nd

red

ths

tho

usa

nd

ths

ten

th

ou

san

dth

s

hu

ndre

d th

ou

sand

ths

Exception: The power of 10 for 1 is 100

- The exponent tells the number of zeros

- Values are arranged into periods- Each period has 3 places: ones, tens, hundreds

billions millions thousands ones

ones

tens

hundreds

ones

tens

hundreds

- Values are between 0 and 1- Powers of 10 have negative exponents

- The exponent tellsthe number of placesright of the decimal

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.

ten

ths

hu

nd

red

ths

tho

usa

nd

ths

ten

th

ou

san

dth

s

hu

ndre

d th

ou

sand

ths

Place Value Patterns

billions millions thousands ones

ones

tens

hundreds

ones

tens

hundreds

Each place is 10 times greater than the place to its right.

ten

ths

hu

nd

red

ths

tho

usa

nd

ths

ten

th

ou

san

dth

s

hu

ndre

d th

ou

sand

ths

Place Value Patterns

11 x 10 = 1010 x 10 = 100100 x 10 = 1000

Values on the part side end in “ths” Values mirror the whole side, but there is

no oneths place

ten

ths

hu

nd

red

ths

tho

usa

nd

ths

ten

th

ou

san

dth

s

hu

ndre

d th

ou

sand

ths

Place Value Patterns

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.

8 502 , 04 , 7

38million

3thousa

nds

millions

502 thousand 47

2 050 , 10 , 0

42million

4thousa

nds

millions

50 thousand 100

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 thousandths4,502

4 thousand 5 hundred 2

.

and 1 thousand 16 ten thousandths

tent

hshu

ndre

dths

thou

sand

ths

ten

thou

sand

ths

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 thousandths340

3 hundred 40

.

and 25 thousandths

tent

hshu

ndre

dths

thou

sand

ths

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 thousandths0.

358 thousandths

tent

hshu

ndre

dths

thou

sand

ths

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-nine ten thousandths

.tenthshundredthsthousandthsten thousandths

3 5 9

0

Writing Small Numbers

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.

fourteen ten thousandths

.tenthshundredthsthousandthsten thousandths

1 4

0

Writing Small Numbers

0

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

and seven hundred thirty-eight

6

Place Value

Let’s practice some place value exercises!

Write the value of the underlined digit

67,985,046

80,000

Write the value of the underlined digit

67,985,046

40

Write the value of the underlined digit

67,985,046

7,000,000

Write the value of the underlined digit

125,761,942

700,000

Write the value of the underlined digit

125,761,942

1,000

Write the value of the underlined digit as a power of 10

43,520,819

5 x 100,000

Write the value of the underlined digit as a power of 10

43,520,819

8 x 100

Write the value of the underlined digit as a power of 10

43,520,819

9 x 1

Write the value of the underlined digit as a power of 10

43,520,810

1 x 10

Write the value of the underlined digit as a power of 10

43,520,810

5 x 100,000

Write the value of the underlined digit as a power of 10 with exponents

179,542,6031 2 3

2 x 103

Write the value of the underlined digit as a power of 10 with exponents

179,542,6031 2 3 4 5

5 x 105

Write the value of the underlined digit as a power of 10 with exponents

179,542,6031 2 3 4 5 6 7

7 x 107

Write the value of the underlined digit as a power of 10 with exponents

179,542,603

3 x 100

Round to the hundreds place.

52,684

52,700

Round to the ten thousands place.

869,417,205

869,420,000

Round to the thousands place.

146,207,219

146,207,000

Round to the hundred thousands place.

3,958,216

4,000,000