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This elementary school math tutorial from NutshellMath offers introductory homework help on the relationship between multiplication and division. Similar to addition and subtraction, multiplication and division are related fundamental operations in arithmetic. As explained in the tutorial, multiplication and division “undo” each other. For example, 6 multiplied by 5 is equal to 30, and 30 divided by 5 is equal to 6.  For this reason, multiplication and division are known as “inverse” operations, meaning that they undo each other.


Another concept presented is the idea of a “fact family”. A mathematical fact is a true statement like “six times five is equal to thirty” or 6 x 5 = 30.  A fact family is the group of all the related multiplication and division facts, between three related numbers.  With three numbers, there will be two multiplication and two division facts. This tutorial offers examples of fact families to demonstrate how to find them. Fact families are useful for solving problems with unknown blanks that need to be filled in. To solve problems with blanks, try using another relationship from a fact family to find the missing number.

Understanding multiplication and division is fundamental to mathematics.  Becoming familiar with fact families will be helpful in learning to visualize the relationship between multiplication and division.  This tutorial explores the relationship between multiplication and division and offers help in solving problems that involve multiplication and division by using fact families.