Question

11 0.056 ÷ -0.004
explain the steps you used to solve problem 11.

Explanation:

Step1: Recall the rule for dividing decimals with different signs

When dividing a positive number by a negative number (or vice versa), the result is negative. Also, to divide decimals, we can move the decimal points of both the dividend and the divisor to make the divisor a whole number. For \(0.056\div(-0.004)\), first, note the sign: since one is positive and one is negative, the quotient will be negative. Then, we can rewrite the division as \(\frac{0.056}{0.004}\) and consider the sign later.

Step2: Make the divisor a whole number

Multiply both the numerator and the denominator by \(1000\) to eliminate the decimals in the divisor. So, \(0.056\times1000 = 56\) and \(0.004\times1000=4\). Now the division becomes \(\frac{56}{4}\).

Step3: Perform the division

\(56\div4 = 14\). But we had a negative sign from the different signs of the original numbers, so the result is \(- 14\).

Answer:

\(-14\)