Decimals: Place Value_Word and Expanded Form_Comparing and Rounding (5th Grade)

Place Value

100

What is the value of the 2 in 0.02?

2 hundredths

200

What is the value of the 7 in 7.291? 

7 ones

300

What is the value of the 4 in 849.03?

4 tens, or 40

400

How many times larger is the digit 7 in the number 6,734.01 than the digit 7 in the number 807.412 ?

100 times larger. (700 > 7)

500

How many times larger is the digit 8 in the number 29,801.54 than the digit 8 in the number 34,134.87 ?

1,000 times larger in value. (800 > 0.8)

Word Form to Standard

100

four tenths

0.4

200

fourteen hundredths

0.14

300

Three and seven hundredths

3.07

400

eight hundred two and twelve thousandths

802.012

500

nine thousand, two hundred one and five thousandths

9,201.005

Expanded Form to Standard

100

(6 x 0.1) + (2 x 0.01)

0.62

200

(9 x 1) + (4 x 0.1) + (5 x 0.01)

9.45

300

(7 x 10) + (7 x 0.01) + (7 x 0.001)

70.077

400

(6 x 100) + (3 x 10) + (2 x 1) + (3 x 0.1) + (4 x 0.001)

632.304

500

(5 x 10,000) + (8 x 100) + (2 x 10) + (7 x 0.01) + (9 x 0.001)

50,820.079

Compare Decimals

100

0.3 ____ 0.03

> 

200

0.17 ____ 0.170

=

300

3.56 ____ 3.078

>

400

506.04 ____ 509.02

<

500

7,489.660 ____ 7,499.040

<

Rounding Decimals

100

Round 85 to the nearest ten.

90

200

Round 763.6 to the nearest ten.

760.0

300

Round 3.789 to the nearest one.

4.0

400

Round 12.745 to the nearest hundredth.

12.750

500

Round 379.8939 to the nearest thousandth.

379.8940