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Elementary Definition--Multiplication and Division Concepts--Identity Property of Multiplication

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# Identity Property of Multiplication

## Topic

Multiplication and Division

## Definition

The identity property of multiplication states that any number multiplied by 1 remains unchanged.

## Description

The identity property of multiplication is a fundamental concept that states multiplying any number by one leaves it unchanged, such as 7 × 1 = 7. This property is essential for simplifying expressions and solving equations. It is widely used in algebra to maintain the integrity of an equation while manipulating its terms. Understanding this property helps students develop a deeper comprehension of multiplication and its role in maintaining equality in equations. In real-world applications, this property is used in computer algorithms and mathematical modeling to ensure accurate calculations.

**Teacher script**: "If you have 5 apples and you multiply them by 1, you still have 5 apples. Multiplying by 1 doesn't change the number."

For a complete collection of terms related to Multiplication and Division click on this link: __Multiplication and Division Collection__

Common Core Standards | CCSS.MATH.CONTENT.4.OA.B.4, CCSS.MATH.CONTENT.3.OA.C.7, CCSS.MATH.CONTENT.3.OA.B.5 |
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Grade Range | 2 - 4 |

Curriculum Nodes |
Arithmetic• Multiplication• Multiplication Expressions and Equations |

Copyright Year | 2021 |

Keywords | multiplication, division, equation |