Multiply Decimals by Powers of 10

Find Each Product

100

63.7 x 10

637

200

563.7 x 10²

56,370

300

94.6 x 10³

94,600

400

681.7 x 10⁴

6,817,000

500

0.365 x 10⁴

3,650

Find the Missing Exponent

100

0.629 x 10^___ = 62.9

2

200

10^____ x 0.056 = 560

4

300

1.23 = 10^____ x 0.123

1

400

2.53 x 10^____ = 25,300

4

500

0.78 = 10^____ x 0.078

1

Problem Solving

100

Jon's binoculars enlarge objects to 10 times their actual size. If the length of an ant is 0.43 inch, what is the length as seen up close through his binoculars?

4.3 inches

200

A builder is installing tiles at a restaurant. The area
of each tile is 0.25 square meter. What is the area
of 1,000 tiles?

250 square meters

300

Jennifer planted a tree that was 0.17 meter tall. After 10 years, the tree was 100 times as tall as when she planted it. What is the height of the tree after 10 years?

17 meters

400

A scooter can travel 118.45 miles on 1 gallon of gas. How far can it travel on 10 gallons?

1,184.5 miles

500

A store has a contest to guess the mass of 10,000 peanuts. If a peanut has a mass of about 0.45 gram, what would be a reasonable guess for the mass of 10,000 peanuts?

4,500 grams