# Arithmetic properties: Associative property

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##### Intros

###### Lessons

- Introduction to the associative property of addition and multiplication:
- Showing that $(a + b) + c = a + (b + c)$
- Why is it called the "associative" property?
- Addition shortcuts using the associative property
- Showing that (a × b) × c = a × (b × c)
- Multiplication shortcuts using the associative property
- The general formulas for the associative property

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##### Examples

###### Lessons

**Associative Property Equations**

Use the associative property (for addition and multiplication) to fill in the blanks.**Changing the grouping to add lists of numbers**

Decide how to group the addends as a shortcut for addition. Double check your answer by adding without groups.**Changing the grouping to multiply lists of numbers**

Decide how to group the factors as a shortcut for multiplication. Double check your answer by multiplying without groups.**Associative property of addition word problem**

Ryan added these numbers together and his answer is correct. Show another way of adding numbers (with grouping) using the associative property!**Associative property of multiplication word problem**

Explain which choice is NOT an equal statement to: (6 × 8) × 5- 6 × 40
- 48 × 5
- 6 × (8 × 5)
- 14 × 5

**Associative property and volume**

The formula for the volume of a rectangular prism is given by:Volume = length × width × height

Use the associative property of multiplication to show 2 ways to solve for this prism.

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