Inverse Operations Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
A number divided by 4 equals 8. What is the number? Use inverse operations.

Solution

  1. 1
    Written as: \(n \div 4 = 8\).
  2. 2
    Inverse of division is multiplication.
  3. 3
    \(n = 8 \times 4 = 32\).
  4. 4
    Check: \(32 \div 4 = 8\) ✓

Answer

32
Division's inverse is multiplication. Multiply both sides by 4 to find \(n = 8 \times 4 = 32\).

About Inverse Operations

Operations that undo each other: addition undoes subtraction, multiplication undoes division, and vice versa. Applying an operation followed by its inverse returns you to the starting value.

Learn more about Inverse Operations →

More Inverse Operations Examples

Example 1 easy

Show that adding and subtracting the same number leaves you where you started: start with 15, add 8,

Example 2 medium

You start with a mystery number. You multiply it by 6 and get 54. Use the inverse operation to find

Example 3 easy

Start with 20. Subtract 7, then add 7. What is the result? What property does this show?

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