What is the number to be multiplied by $(- 7)^{- 1}$ so as to get $10^{- 1}$ as the product?

\frac{- 7}{10}

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\frac{7}{10}

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\frac{9}{10}

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\frac{- 3}{10}

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Solution

The correct option is A $\frac{- 7}{10}$
$x \times {(- 7)}^{- 1} = 10^{- 1}$
$x \times \frac{1}{- 7} = \frac{1}{10}$
$x = \frac{1}{10} \times - 7 = \frac{- 7}{10}$

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Similar questions

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Simplify the following:

(1) Subtract (−5) from 5.

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(5) What must be added to +7 to get −10?

(6) What should be added to +10 to get −4?

(7) If then, fill up the gap.

(8) If then fill up the gap.

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By what number should ${(\frac{1}{2})}^{- 1}$ be multiplied so that the product many be equal to ${(\frac{- 4}{7})}^{- 1} ?$

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k

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