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Powers of ten and expanded notation
Powers of ten and expanded notation
Example 1
In 8454=8×103+4×102+5×10+k, find k.
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Answer: 4
- The ones digit is 4; the remaining place-value contribution is 4.
Example 2
Calculate 7×103+6×102.
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Answer: 7600
- 103=1000 and 102=100. Add the two place-value contributions.
Example 3
How many times larger is 3×106 than 3×105?
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Answer: 10
- Moving one place left multiplies the place value by 10. The same coefficient cancels in the ratio.
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