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Multiply and Divide by Powers of Ten
Worksheet
Grade Level
Grade 5
5.21 Multiply and Divide by Powers of Ten
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A standards review asks students to solve 0.0456 × 10
4
. Which option gives the correct value and reason?
A
456; multiplying by 10
4
(10,000) shifts each digit 4 places left to a larger place value, and 0.0456 is about 0.05, and 0.05 × 10,000 is about 500, close to 456.
B
0.00000456; the digits shift 4 places right to smaller place values, so the estimate should be much smaller.
C
4,560; the digits shift 5 places left to larger place values, but this counts 5 places instead of 4.
D
456; the digits shift 4 places right to smaller place values, so the estimate should be much smaller.
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