Powers & Exponents
Patterns When Multiplying a Whole Number by Powers of 10
Estimate Products of Multi-Digit Factors
100

104 = ?

10,000

100

237 x ____ = 23,700

102

100

Estimate 52 x 303.

15,000

200

What is equivalent to 83 x 105?

8,300,000

200
54 x 102 = ?

5,400

200

Estimate 35 x 33.

1,200

300

100,000 = 10 x 10 x 10 x 10 x 10 = ________

105

300

70 x 102 = ?

7,000

300

Which is a reasonable estimate for 86 x 122?

9,000

400

What exponential form completes the equation?

24 x ______ = 240,000

104

400

Mercury is 57,910,000 km from the sun. Rewrite the distance as a product with a power of 10.

5,791 x 104

400

The classroom library has 12 shelves. Each shelf holds 53 books. About how many books does the classroom library have in all?

About 500 books

500

100 ten-dollar bills = how much money?

$1,000

500

Jupiter is 778,330,000 km from the sun. Rewrite the distance as a product with a power of 10.

77,833 x 104

500

Bill has 31 x 192 dollars and Marie has 21 x 249 dollars. Estimate to see who has more money, Bill or Marie.

Bill

M
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