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Standard VIII

Mathematics

Powers and Exponents

What does the...

Question

What does the original value of $10^{m}$ become when the exponent decreases by 1?

Become one-tenth of the original value

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Become ten times the original value

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Remains the same value

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None of these

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Solution

The correct option is A Become one-tenth of the original value
If an exponent increases by 1 the value becomes the times of the previous value and if it decreases by 1 the value becomes one-tenth of original value
Eg $10^{10} \to 10^{10 - 1} = 10^{9}$
$∴$ One-tenth value has decreased

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What does the original value of 10m become when the exponent decreases by 1?

The correct option is A Become one-tenth of the original valueIf an exponent increases by 1 the value becomes the times of the previous value and if it decreases by 1 the value becomes one-tenth of original valueEg 1010→1010−1=109∴ One-tenth value has decreased

What does the original value of $10^{m}$ become when the exponent decreases by 1?

The correct option is A Become one-tenth of the original value
If an exponent increases by 1 the value becomes the times of the previous value and if it decreases by 1 the value becomes one-tenth of original value
Eg $10^{10} \to 10^{10 - 1} = 10^{9}$
$∴$ One-tenth value has decreased