Math Problem Statement

.  On the number line a) The two numbers that are eight units from 0. b) The two numbers that are six units from 2.

Solution

a) The two numbers that are eight units from 0 on the number line:

  • The two numbers eight units away from 0 are found by adding and subtracting 8 from 0. So: 0+8=8and08=80 + 8 = 8 \quad \text{and} \quad 0 - 8 = -8
  • Thus, the two numbers are 8 and -8.

b) The two numbers that are six units from 2 on the number line:

  • Similarly, the two numbers six units away from 2 are found by adding and subtracting 6 from 2. So: 2+6=8and26=42 + 6 = 8 \quad \text{and} \quad 2 - 6 = -4
  • Therefore, the two numbers are 8 and -4.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What numbers are 10 units away from -3?
  2. How do you find the midpoint between two numbers on a number line?
  3. What is the distance between -5 and 7 on a number line?
  4. How do you represent the absolute value of a number on a number line?
  5. What numbers are 12 units from 5?

Tip: The distance between two numbers on a number line is the absolute value of their difference.

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Math Problem Analysis

Mathematical Concepts

Number Line
Absolute Value
Distance on a Number Line

Formulas

Distance formula on a number line: |x - y|
Adding and subtracting distances to a point

Theorems

Absolute value theorem: |x| represents the distance of a number from 0 on the number line

Suitable Grade Level

Grades 5-7