For each expression, use a property to write an equivalent expression. Tell which property you used. 10:CD=

Question

Dante Ford

Mathematics

26 February, 16:11

For each expression, use a property to write an equivalent expression. Tell which property you used. 10:CD=

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Harley · Answer 1

The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6 (5 - 2), is equal to the sum or difference of the products - in this case, 6 (5) - 6 (2).

Remember that there are several ways to write multiplication. 3 x 6 = 3 (6) = 3 • 6.

3 • (2 + 4) = 3 • 6 = 18.

Distributive Property of Multiplication over Addition

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.

3 (10 + 2) = ?

According to this property, you can add the numbers and then multiply by 3.

3 (10 + 2) = 3 (12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.