Question

meredith tells joey that ( 4 \times (-3) ) means 4 groups of ( (-3) ) and that ( (-4) \times (-3) ) means the opposite of means 4 groups of ( (-3) ), which is the same as means 4 groups of ( (+3) ). which expression represents 5 groups of ( (-2) )?
a ( (-5) \times (-2) )
b ( 5 \times 2 )
c ( 5 \times (-2) )
d ( 5 + (-2) )

Explanation:

Step1: Understand the pattern

From the example, \(4\times(-3)\) means 4 groups of \(-3\). So, for "5 groups of \(-2\)", we need to represent it as a multiplication where the first number is the number of groups (5) and the second number is the value in each group (\(-2\)).

Step2: Analyze each option

• Option A: \((-5)\times(-2)\) represents -5 groups of -2, not 5 groups of -2.
• Option B: \(5\times2\) represents 5 groups of 2, not -2.
• Option C: \(5\times(-2)\) represents 5 groups of -2, which matches the requirement.
• Option D: \(5 + (-2)\) is an addition, not a multiplication representing groups.

Answer:

C. \(5 \times (-2)\)