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QUESTION IMAGE

on the number line below, plot 4 and the opposite of 4. -10 -5 0 5 10

Question

on the number line below, plot 4 and the opposite of 4. -10 -5 0 5 10

Explanation:

Step1: Find the opposite of 4

The opposite of a number \( a \) is \( -a \). So, the opposite of 4 is \( -4 \).

Step2: Locate 4 on the number line

Starting from 0, move 4 units to the right (since 4 is positive) to find the position of 4.

Step3: Locate -4 on the number line

Starting from 0, move 4 units to the left (since -4 is negative) to find the position of -4.

Answer:

To plot 4 and its opposite (-4) on the number line:

  • For 4: Starting at 0, move 4 units to the right (each tick mark represents 1 unit, so 4 is 4 ticks to the right of 0, between 0 and 5, 4 units from 0).
  • For -4: Starting at 0, move 4 units to the left (4 ticks to the left of 0, between -5 and 0, 4 units from 0).

Visually, on the given number line:

  • 4 is plotted at the position 4 units to the right of 0 (between 0 and 5, at the 4th tick mark after 0).
  • -4 is plotted at the position 4 units to the left of 0 (between -5 and 0, at the 4th tick mark before 0).