Question

10 9.28 ÷ -3.2

Explanation:

Step1: Divide the absolute values

First, we consider the absolute values of the numbers. We need to calculate \( \frac{9.28}{3.2} \). To make the division easier, we can multiply both the numerator and the denominator by 100 to eliminate the decimals: \( \frac{9.28\times100}{3.2\times100}=\frac{928}{320} \). Then we divide 928 by 320.
\( 928\div320 = 2.9 \) (we can do this division: 320×2 = 640, 928 - 640 = 288, 320×0.9 = 288, so 2 + 0.9 = 2.9).

Step2: Determine the sign of the result

When dividing a positive number by a negative number, the result is negative. So since 9.28 is positive and -3.2 is negative, the result of \( 9.28\div(-3.2) \) is the negative of the result we got from dividing the absolute values.
So \( 9.28\div(-3.2)=- 2.9 \)

Answer:

\(-2.9\)