Questions: Explain how to use a number line to find the opposites of the integers that are 4 units away from -6. Enter the correct answers in the boxes. First, count units away from in both directions and identify the two numbers. Then, find the numbers that are the same distance from as the two numbers, but on opposite sides of 0 .

Explain how to use a number line to find the opposites of the integers that are 4 units away from -6. Enter the correct answers in the boxes. First, count units away from in both directions and identify the two numbers. Then, find the numbers that are the same distance from as the two numbers, but on opposite sides of 0 .
Transcript text: Explain how to use a number line to find the opposites of the integers that are 4 units away from -6 . Enter the correct answers in the boxes. First, count $\square$ units away from $\square$ in both directions and identify the two numbers. Then, find the numbers that are the same distance from $\square$ as the two numbers, but on opposite sides of 0 . $\square$ .
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Solution

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Solution Steps

Step 1: Identify the starting point

The starting point on the number line is \(-6\).

Step 2: Count 4 units away from \(-6\) in both directions

From \(-6\), count 4 units to the right and 4 units to the left:

  • To the right: \(-6 + 4 = -2\)
  • To the left: \(-6 - 4 = -10\)
Step 3: Find the opposites of the identified numbers

The opposites of \(-2\) and \(-10\) are the numbers that are the same distance from \(0\) but on the opposite sides:

  • Opposite of \(-2\): \(2\)
  • Opposite of \(-10\): \(10\)

Final Answer

\(\boxed{-10}\), \(\boxed{-2}\), \(\boxed{10}\), \(\boxed{2}\)

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