Multiplying Two- and Three- Digit Numbers by a One- Digit Number.
The Distributive Property states that multiplying a sum by a number gives the same result as...
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Transcript of The Distributive Property states that multiplying a sum by a number gives the same result as...
![Page 1: The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649eb05503460f94bb648c/html5/thumbnails/1.jpg)
![Page 2: The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649eb05503460f94bb648c/html5/thumbnails/2.jpg)
The Distributive Property Revisited
The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products
The Distributive Property is represented by the expression: a(b+c) = a x b + a x c
![Page 3: The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649eb05503460f94bb648c/html5/thumbnails/3.jpg)
In other words, 12 x (3 + 4) = 12 X 3 + 12 x 4
Both sides of the equation evaluate to 84
12 x (3 + 4) = 12 x 3 + 12 x 4 =
12 x (7) = 36 + 48 = 84 84
![Page 4: The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649eb05503460f94bb648c/html5/thumbnails/4.jpg)
The property can also be used to multiply variables and coefficients
For example:2(a + b) = 2a + 2b
![Page 5: The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.](https://reader036.fdocuments.us/reader036/viewer/2022082820/56649eb05503460f94bb648c/html5/thumbnails/5.jpg)
Using the Distributive Property to Simplify Expressions
To use the Distributive Property to Simplify an expression, multiply the number outside the parentheses by all of the terms inside the parentheses
If there is a negative, a minus sign, or a negative number outside of the parentheses, then all of the terms must be multiplied by the negative as well.
After using the Distributive Property, be sure to combine any like terms that remain.