Division as Inverse Math Example 4

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

Example 4

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

Solution

  1. 1
    Use division to undo multiplication: \(? = 42 \div 7\).
  2. 2
    \(7 \times 6 = 42\), so \(42 \div 7 = 6\).
  3. 3
    The missing number is 6.

Answer

6
Division undoes multiplication. \(? \times 7 = 42\) means \(? = 42 \div 7 = 6\).

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 1 easy

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

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.

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