Division as Inverse Math Example 1

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

Example 1

easy
You know that \(7 \times 8 = 56\). Use this fact to find \(56 \div 7\) and \(56 \div 8\).

Solution

  1. 1
    From \(7 \times 8 = 56\), division undoes multiplication.
  2. 2
    \(56 \div 7 = 8\) (divide by 7 to get 8).
  3. 3
    \(56 \div 8 = 7\) (divide by 8 to get 7).
  4. 4
    These are the two related division facts for the fact family.

Answer

\(56 \div 7 = 8\) and \(56 \div 8 = 7\)
Division is the inverse of multiplication. Every multiplication fact produces two division facts in the same fact family.

About Division as Inverse

Understanding division as the reverse of multiplication: if a×b=ca \times b = c, then c÷b=ac \div b = a. This inverse relationship lets you undo multiplication to find missing factors.

Learn more about Division as Inverse →

More Division as Inverse Examples

Example 2 medium

A number times 9 equals 81. Use division as the inverse to find the unknown number.

Example 3 easy

Given (6 times 9 = 54), write the two related division facts.

Example 4 medium

Find the missing number: (? times 7 = 42). Use division.

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