Question

jonah reminded sasha that $-6cdot(-5)$ means \the opposite of 6 groups of ne
positive five.
sasha needs to draw a number line to simplify the expression $-4cdot(-3)$.
choose the number line that sasha needs to draw.
a
-15 -12 -9 -6 -3 0 3 6 9 12 15
b
-20 -16 -12 -8 -4 0 4 8 12 16 20
c
-20 -16 -12 -8 -4 0 4 8 12 16 20
d
-15 -12 -9 -6 -3 0 3 6 9 12 15

Explanation:

Step1: Understand the meaning of \(-4\cdot(-3)\)

\(-4\cdot(-3)\) means the opposite of \(4\) groups of \(- 3\). The opposite of moving \(4\) times in the negative direction (which is moving \(4\) times in the positive direction). Each move is of size \(3\).

Step2: Analyze each option

• Option A: The moves are in the negative direction (towards \(-15\)), which is not correct as we need moves in the positive direction (opposite of negative moves).
• Option B: The size of each move is \(4\) instead of \(3\).
• Option C: The moves are in the negative direction (towards \(-20\)), which is incorrect.
• Option D: We have \(4\) moves of size \(3\) in the positive direction (since it's the opposite of \(4\) groups of \(-3\)).

Answer:

D.