Question
Divide Decimals & Fractions Quick Check
1 of 51 of 5 Items
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
Answers
GPT-4o mini
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)
\[
\frac{-71.24}{0.4}
\]
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)