Divide Decimals & Fractions Quick Check

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Question
What is the quotient of−71.24 ÷ 0.4?(1 point)
Responses

−178.1
negative 178.1

178.1
178.1

−17.81
negative 17.81

−1,781
negative 1,781

1 answer

To divide \(-71.24\) by \(0.4\), you can set it up as follows:

\[ \frac{-71.24}{0.4} \]

To perform the division, we can eliminate the decimal by multiplying both the numerator and the denominator by \(10\):

\[ \frac{-71.24 \times 10}{0.4 \times 10} = \frac{-712.4}{4} \]

Now, perform the division:

\[ -712.4 \div 4 = -178.1 \]

Thus, the quotient of \(-71.24 ÷ 0.4\) is \(-178.1\).

So, the correct response is:

−178.1 (negative 178.1)

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