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Place Value
Word Problems Place Value
Powers of 10
Word Problems Powers of 10
100

Write the decimal as a fraction:

0.001

1/1000.

100
Write the number in standard form:

(4 x 104) + (6 x 102)

40,000 + 600 = 40,600

100

3 x 101=

3 x 102=

3 x 103=

3 x 104=

30

300

3,000

30,000

100

A company had 9 x 106 dollars in sales last year. Explain how to find the product 9 x 106. 

106 = 1,000,000, so if you multiply 9 one million times, you would get 9,000,000. 

200

Write the number in standard form:

8,000,000 + 300 + 9 

8,000,309

200

Is the value of the 1 in 1,440,000 10 times as great as the value of the 4 in the hundred thousands place? Explain.

No, the value of the 4 in the hundred thousands place is ten times as great as the 4 in the ten thousands place. The value of the 1 will not be ten times as great as a different digit. 

200

8 x 104

80,000

200

One box of printer paper has 3 x 102 sheets of paper. Another box has 103 sheets of paper. What is the total number of sheets in both boxes? 

102 + 103 = 105 

3 x 105 = 300,000 sheets of paper.

300
Write the fraction as a decimal:


434/1,000

0.434

300

Write the number in standard form:

5 x 103 + 3 x 102 + 6 x 101

5,360

300

14 x 103

14,000

300

Frank said that 8 x 104 is 320. Do you agree or disagree? If you disagree, explain the mistake that he made and find the correct answer. 

I disagree. Frank multiplied 8 by 10 by the exponent 4 to get 320 rather than multiplying 8 by (8 x 10 x 10 x 10 x 10). The correct answer is 80,000. 

400

What number makes the following statement true?

0.07 is 10 times as great as _____.

0.007
400

Write the number in standard form:

(5 x 106) + (6 x 103) + (2 x 101) + (3 x 1/100)

5,006,002.03

400

Which equations are true?

A. 9 × 103 = 9 × 1,000

B. 3 × 10,000 = 30,000

C. 200,000 = 2 × 106

D. 104 = 10 × 10 × 10 × 10 × 10

E. 90,000 = 9 × 104

A, B, E

400

Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks?

(8 x 10) + (10 x 10) = 80 + 100 = 180 minutes

In two weeks there are 10 days total that Jack would read (5 days Monday-Friday). 

500

23/1,000 is written as 0.23. True or false? 

False. The correct way to write 23/1,000 is 0.023. 

500

Dan wrote (2 x 106) + (3 x 104) + (5 x 103) + 4 for the expanded form of two million, three hundred fifty thousand, four. What error did he make in the expanded form? What is the standard form of the number?

Dan made an error and the correct expanded form is two million, thirty five thousand, four. 

2,000,000+30,000+5,000+4. 

500

Which equations are true?

A. 7 × 103 = 7 × 100

B. 5 × 1,000 = 5,000

C. 80,000 = 8 × 104

D. 105 = 10 × 10 × 10 × 10 × 10

E. 900 = 9 × 103

B, C, D

500

A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. 

A. How many AA batteries are in one case? 

B. How many AA batteries are in 10 cartons?

A. 10 x 10 x 10 = 1,000 batteries

B. 10 x 10 x 10 x 10 x 10 = 100,000 batteries