Represent Place Value Units
standard form--> unit form
multiply by powers of 10
divide by powers of 10
multiply decimals
100

5 tenths 

0.5

100

0.8

8 tenths 

100

3 x 10 

30

100

5/10

0.5

100

4.6 x 0.8

3.68

200

45 hundredths 

0.45

200

0.89

89 hundredths 

200

45 x 10

450

200

13/100

0.13

200

3.4 x 4.8

16.32

300

29 thousandths

0.029

300

0.098

98 thousandths 

300

4.8 x 100

480

300

4.7/100

0.047

300

5.2 x 3.64

18.928

400

564 thousandths

0.564

400

0.400

4 hundred thousandths 

400

34.6 x 100

3,460

400

68/1,000

0.068

400

Mrs. Wald buys 1.5 pounds of cheese. Each pound of cheese costs $6.24. What is the total cost of the cheese? 

The total cost of the cheese is $9.36.

500

57 tenths 

5.7

500

0.0876

876 hundred ten thousandths 

500

56.78 x 1000

56,780

500

27.9/1,000

0.0279

500

Carter runs 3.4 kilometers. Tom runs 0.75 times as much as Carter. How many more kilometers does Carter run than Tom? 

Carter run 0.85 miles more that Tom.

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