Clara multiplies (- 6)(- 7)(- 1) and gets 42. Is her answer reasonable?
A. No, because the solution should have a negative answer.
B. No, because the solution should have a positive answer.
C. Yes, because the solution should have a negative answer.
D. Yes, because the solution should have a positive answer.
B. No, because the solution should have a positive answer.
Clara multiplies (-6)(-7)(-1) and gets 42. Let's evaluate the expression step-by-step to determine if her answer is reasonable.
(-6)(-7)(-1) = (-42)(-1) = 42
Since the product of three negative numbers is positive, Clara's answer of 42 is not reasonable.
Therefore, the correct answer is:
B. No, because the solution should have a positive answer.
To determine whether Clara's answer is reasonable, we need to evaluate the expression she multiplied: (-6)(-7)(-1).
To multiply three negative numbers, we follow the rule that states "a negative number multiplied by a negative number gives a positive result."
(-6)(-7)(-1) can be simplified as follows:
(-6)(-7) = 42
42(-1) = -42
Therefore, Clara's answer is -42, not 42. Since the solution involves negative numbers, the reasonable answer is a negative answer.
Hence, the correct answer is:
A. No, because the solution should have a negative answer.