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

Decimals times or divided by powers of 10

100

0.2 x 10 = 

2.0

200

0.06 x 100 = 

6.0

300

0.8 = 0.008 x ____

100

400

900 divided by 10² = 

9.0

500

3.0 divided by 10³ = 

0.003

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