What is a fact family?

A fact family, also known as a number family or math family, is a group of related math facts that use the same numbers. Fact families typically include two inverse operations, such as addition and subtraction or multiplication and division.

The key components of a fact family are:

• The numbers: These are the numbers that are related within the fact family. For example, the numbers 3, 4, and 7 form a fact family for addition and subtraction.
• The operations: These are the mathematical operations that link the numbers together. Common operations include <a href="https://www.wikiwhat.page/kavramlar/addition">addition</a> and <a href="https://www.wikiwhat.page/kavramlar/subtraction">subtraction</a>, or <a href="https://www.wikiwhat.page/kavramlar/multiplication">multiplication</a> and <a href="https://www.wikiwhat.page/kavramlar/division">division</a>.
• The facts: These are the mathematical equations that can be created using the numbers and operations in the fact family.

Example (Addition/Subtraction):

For the numbers 3, 4, and 7, the fact family would include:

• 3 + 4 = 7
• 4 + 3 = 7
• 7 - 3 = 4
• 7 - 4 = 3

Example (Multiplication/Division):

For the numbers 3, 5, and 15, the fact family would include:

• 3 x 5 = 15
• 5 x 3 = 15
• 15 ÷ 3 = 5
• 15 ÷ 5 = 3

Fact families are helpful for understanding the relationship between different mathematical operations and memorizing basic math facts. They are often introduced in early elementary school to build a solid foundation in number sense.