Math Problem Statement

Describe how to find the sums -4 + 2 and -4 + (-2) on a number line

Solution

To find the sums 4+2-4 + 2 and 4+(2)-4 + (-2) on a number line, follow these steps:

1. Finding the sum of 4+2-4 + 2:

  • Step 1: Start at 4-4 on the number line.
  • Step 2: Since you're adding a positive number (+2+2), move 2 units to the right.
  • Step 3: After moving 2 units to the right, you land on 2-2.
  • Result: 4+2=2-4 + 2 = -2.

2. Finding the sum of 4+(2)-4 + (-2):

  • Step 1: Start at 4-4 on the number line.
  • Step 2: Since you're adding a negative number (2-2), move 2 units to the left.
  • Step 3: After moving 2 units to the left, you land on 6-6.
  • Result: 4+(2)=6-4 + (-2) = -6.

Summary:

  • 4+2-4 + 2 is found by moving right and equals 2-2.
  • 4+(2)-4 + (-2) is found by moving left and equals 6-6.

Would you like more details or have any questions?

Here are five related questions you might find interesting:

  1. How would you find the sum 3+(5)3 + (-5) on a number line?
  2. What is the result of 7+3-7 + 3 on a number line?
  3. How can you subtract a negative number using a number line?
  4. What is the sum of two negative numbers on a number line?
  5. How does moving left or right on a number line affect the sum?

Tip: When adding a negative number on a number line, always move to the left. When adding a positive number, move to the right.

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Math Problem Analysis

Mathematical Concepts

Number Line
Addition of Integers

Formulas

Sum of integers on a number line

Theorems

Properties of Addition

Suitable Grade Level

Grades 5-7