Place Value and Powers of 10

Word Problems

100

Ivy filled 10 bottles with water for her soccer team to drink during practice. Each bottle contains exactly 1.35 liters of water. What is the total amount of water Ivy used to fill the 10 bottles?

13.5 liters

200

The underlined number in 68.53 represents five tenths. Write a number that contains a 5 that is ten times greater than the underlined 5 in 68.53?

any number that has a 5 in the ones place

300

Ms. Hunter wrote the following number on the board.

1.392

She asked her math scholars to write a number in which the value of the digit 9 is 10 times larger. In which place should the scholars write the digit 9?

tenths place

400

Leilani has some marbles. Zion has 10 times as many marbles as Leilani. How many marbles can they have?

answers may vary

500

Micah wrote two numbers, as shown below.

1. 3,586,927
2. 3,859,672

Which is a correct comparison of the 8 in Micah's numbers?

The value of the digit 8 in the first number is 1/10 the value of the digit 8 in the second number.

Place Value Understanding

100

What place is to the right of the ones place?

tenths

200

How much larger is 3,000 compared to 3?(___times as large)

1,000 times as large

300

What is 1/10 of 63?

6.3

400

How much smaller is .45 compared to 450?

1,000 times smaller

500

What would you need to divide 57.6 by for the decimal to end up in before the 5?

100 or 10^2

Powers of 10

100

What is 10 x 10 x 10 x 10

10⁴

200

Is this a power of 10?

4¹⁰

No

(Powers of 10 must have BASES of 10)

300

What is 10⁵

100,000

400

The exponent is equal to the _____________ after the 1 in a power of 10

Number of zeros

500

10,000 is 10 to the power of  ____

4

Multiplying by Powers of 10

100

When you multiply a number by a power of 10, you move the decimal to the _________

right

200

0.04 x ____= 0.4

0.004 x ____= 4

10^1 or 10

10^3 or 100

300

____ x 0.006 = 0.06

____ x 0.006 = 6

10^2 or 100

10^3 or 1,000

400

0.007 x ___ = 7

0.07 x ___ = 7

10^3 or 1000

10^2 or 100

500

When you multiply by a power of 10 you move the digits to the __________.

left

Dividing by Powers of 10

100

When you divide a number by a power of 10, you move the decimal to the _________

left

200

5.2 ÷ 10

0.52

300

520 ÷ 10^2 

5.2 

400

52 ÷ _____ = 0.052

10^3 or 1,000

500

When you divide by a power of 10 you move the digits to the ____________

right