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The number 980,000,000 is equal to 9.8 × 10^n , for some integer n. Wh

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Carcass
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The number 980,000,000 is equal to 9.8 × 10^n , for some integer n. Wh [#permalink] New post   18 Oct 2021, 05:15
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The number 980,000,000 is equal to 9.8×10n, for some integer n. What is the value of n?


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The number 980,000,000 is equal to 9.8 × 10^n , for some integer n. Wh [#permalink] New post   19 Oct 2021, 11:28
Carcass wrote:
The number 980,000,000 is equal to 9.8×10n, for some integer n. What is the value of n?


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Key property: If we multiply k by 10n, where n is a positive integer, then we take the decimal point in k and move it n spaces to the right.

For example, ...
9.8×101=98 [the decimal point is moved 1 space to the right]
9.8×102=980 [the decimal point is moved 2 spaces to the right]
9.8×103=9800 [the decimal point is moved 3 spaces to the right]
And so on.

To get 980,000,000, we must take the decimal point in 9.8 and move it 8 spaces to the right.
In other words, 9.8×108=980,000,000
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The number 980,000,000 is equal to 9.8 × 10^n , for some integer n. Wh [#permalink]
19 Oct 2021, 11:28
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