Question

jonah reminded sasha that $-6cdot(-5)$ means \the opposite of 6 groups of negative five\, which is the same as 6 groups of 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
b
c
d

Explanation:

Step1: Analyze the expression

The expression is \(-4\cdot(-3)\). According to the rule that the opposite of \(a\) groups of \(b\) (where \(b<0\)) is \(|a|\) groups of \(|b|\). Here, \(-4\cdot(-3)\) means the opposite of \(4\) groups of \(- 3\), which is \(4\) groups of \(3\).

Step2: Check each number - line

• Option A: The jumps are of size \(3\) but the direction is wrong (negative direction).
• Option B: The size of each jump is \(4\) instead of \(3\).
• Option C: The size of each jump is \(4\) instead of \(3\).
• Option D: There are \(4\) jumps of size \(3\) in the positive direction.

Answer:

D.