Question

10 9.28 ÷ -3.2

Explanation:

Step1: Recall division of decimals and signs

When dividing a positive number by a negative number, the result is negative. Also, to divide decimals, we can convert them to fractions or use the rule for dividing decimals (move the decimal point of the divisor to make it a whole number, then move the decimal point of the dividend the same number of places).
For \(9.28\div(- 3.2)\), first, consider the sign: positive \(\div\) negative \(=\) negative. Then, we can rewrite the division as \(\frac{9.28}{-3.2}\). To make the divisor a whole number, multiply numerator and denominator by 10: \(\frac{92.8}{-32}\).

Step2: Perform the division

Now, divide \(92.8\) by \(32\). \(32\times2 = 64\), \(92.8 - 64=28.8\). \(32\times0.9 = 28.8\). So \(92.8\div32 = 2.9\). Since the original division has a negative sign, the result is \(- 2.9\).

Answer:

\(-2.9\)