Which answer choice gives the correct explanation for this problem?
-35 ÷ -7
A)
5 groups of 7 positives
B)
5 groups of 7 negatives
C)
7 groups of 5 positives
D)
7 groups of 5 negatives
I think it is a
To determine the correct explanation for the problem -35 ÷ -7, we need to understand the concept of division with negative numbers.
In division, when dividing two positive numbers, the result is positive. Similarly, when dividing two negative numbers, the result is positive as well. However, when dividing a positive number by a negative number (or vice versa), the result is negative.
In our problem, -35 ÷ -7, both numbers are negative. So, we can use the rule that when dividing two negative numbers, the result is positive. Therefore, options A, B, C, and D all have incorrect explanations.
The correct explanation for the problem is:
E) 5 groups of 7 negatives
Explanation: The negative sign outside the division symbol (-35) means we have a negative quantity. Dividing this negative quantity (-35) by another negative quantity (-7) results in a positive answer. Therefore, the correct explanation is 5 groups of 7 negatives.
The correct explanation for the problem -35 ÷ -7 is:
B) 5 groups of 7 negatives
When dividing a negative number by a negative number, the result is positive. Therefore, -35 ÷ -7 equals 5.