Question

11 0.056 ÷ -0.004

Explanation:

Step1: Recall division of decimals

When dividing two decimals, we can also consider the sign rule: positive ÷ negative = negative. First, ignore the signs and divide the absolute values.
So, we calculate \( 0.056\div0.004 \) first.

Step2: Perform the division of absolute values

To divide \( 0.056\) by \( 0.004 \), we can multiply both the numerator and the denominator by 1000 to eliminate the decimals. So, \( \frac{0.056\times1000}{0.004\times1000}=\frac{56}{4} \).
And \( 56\div4 = 14 \).

Step3: Apply the sign rule

Since one number is positive (\( 0.056 \)) and the other is negative (\( - 0.004 \)), the result of the division will be negative. So, \( 0.056\div(-0.004)=- 14 \).

Answer:

\(-14\)