Jonah reminded Sasha that -6x(-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 -4x(-3).Choose the number line that Sasha needs to draw.Responses

Answer 1

To simplify the expression -4x(-3) using a number line, let’s first break down the expression:

1. The expression -4x(-3) can be interpreted as "the opposite of 4 groups of -3".
2. When you multiply a negative by a negative, the result is positive. Therefore, -4x(-3) would equal 4x3.
3. With this, we can say it represents "4 groups of positive 3", or simply 12.

When drawing a number line to represent this, Sasha would start at 0 and depict jumps of +3 in the positive direction four times:

1. Start at 0.
2. Jump to 3 (1 group of 3).
3. Jump to 6 (2 groups of 3).
4. Jump to 9 (3 groups of 3).
5. Jump to 12 (4 groups of 3).

On the number line, Sasha should mark or indicate these points to show that starting from 0 and making 4 jumps of +3 leads to +12, thus providing a visual breakdown of the calculation.

To visualize it:

• Draw a horizontal line with equally spaced intervals.
• Label the points: 0, 3, 6, 9, 12, marking the jumps clearly.

The final answer would visually illustrate how -4x(-3) results in 12.