Math Problem Statement

Use the number line shown below to help you add 3+(−2).

A horizontal number line from −10 to 16.

5

−1

1

−5

Solution

To solve 3+(2)3 + (-2) using the number line, follow these steps:

  1. Locate the number 3: Start at 3 on the number line.

  2. Move 2 units to the left: Since we are adding 2-2, you need to move 2 units to the left from 3.

    • From 3, move 1 unit left to get to 2.
    • Move another 1 unit left to get to 1.

So, after moving two steps to the left, you end up at 1.

Thus, 3+(2)=13 + (-2) = 1.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions:

  1. How would you solve 5+7-5 + 7 using a number line?
  2. What happens when you add a positive number to a negative number on the number line?
  3. How would you subtract a negative number, like 4(3)4 - (-3)?
  4. Can you explain the concept of "moving to the left" and "moving to the right" on the number line?
  5. What is the result of 6+(9)6 + (-9) using a number line?

Tip: When adding negative numbers, always move to the left on the number line!

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Math Problem Analysis

Mathematical Concepts

Addition
Integers
Number Line

Formulas

a + (-b) = a - b

Theorems

Adding negative numbers involves moving to the left on the number line

Suitable Grade Level

Grades 4-6