Question

true or false
a (-12 cdot (-3) = -36)
b (-10 cdot -1 = 10)
c (-5 cdot 4 = 20)
d (5 cdot 5 = -25)
e (5 cdot (-14) = -70)
evaluate each expression:
a, -15 · 2...

Explanation:

Step1: Analyze Option A

Recall the rule for multiplying two negative numbers: the product of two negative numbers is positive. So, \(-12 \cdot (-3)\) should be \(12 \times 3 = 36\), not \(-36\). So Option A is False.

Step2: Analyze Option B

Using the rule that the product of two negative numbers is positive, \(-10 \cdot (-1)=10\times1 = 10\). So Option B is True.

Step3: Analyze Option C

The product of a negative number and a positive number is negative. So, \(-5 \cdot 4=- (5\times4)=-20\), not \(20\). So Option C is False.

Step4: Analyze Option D

The product of two positive numbers is positive. So, \(5 \cdot 5 = 25\), not \(-25\). So Option D is False.

Step5: Analyze Option E

The product of a positive number and a negative number is negative. So, \(5 \cdot (-14)=- (5\times14)=-70\). So Option E is True.

Answer:

A. False, B. True, C. False, D. False, E. True