Multiplication properties are like secret shortcuts that help you solve problems faster! The main properties are the Commutative, Associative, Identity, and Distributive properties. Knowing these properties helps simplify complex calculations and understand how numbers work together.
For example, the Commutative Property means you can multiply numbers in any order and still get the same answer. The Associative Property lets you group numbers differently when multiplying three or more numbers. The Identity Property states that any number multiplied by 1 equals itself, and the Distributive Property helps break down multiplication problems into smaller, manageable parts.
Match the term with the correct definition:
| Term | Definition |
|---|---|
| 1. Commutative Property | A. The property that any number multiplied by 1 is itself. |
| 2. Associative Property | B. The property that allows you to group numbers differently when multiplying. |
| 3. Identity Property | C. The property that allows you to change the order of factors without changing the product. |
| 4. Distributive Property | D. The property that lets you multiply a number by a group of numbers added together. |
Complete the following paragraph using the words: order, grouping, one, break down.
The Commutative Property tells us that the ________ of factors doesn't change the product. The Associative Property is about the ________ of factors. The Identity Property states that any number multiplied by ________ is itself. Finally, the Distributive Property helps us ________ complex multiplication problems.
Explain how the Distributive Property can help you solve $7 \times 102$ mentally. Show your work.
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