Arithmetic Grade Five
Lesson One hundred and seventy-eight: Distributive Property
As you might expect the distributive property still works with a number
sentence containing subtraction:
3 * ( 4 - 2 ) = 3 * 4 - 3 * 2
Prove to yourself that it is true by finding the value of the side to the
right of the equal sign and the side to the left of the equal sign.
LEFT SIDE: 3 * ( 4 - 2) = 3 * 2 = 6
RIGHT SIDE: 3 * 4 - 3 * 2 = 12 - 6 = 6
This example shows how the distributive property of multiplication works.
Here's another example:
7 * ( 3 - 2 ) = 7 * 3 - 7 * 2
LEFT SIDE: 7 * ( 3 - 2 ) = 7 * 1 = 7
RIGHT SIDE: 7 * 3 - 7 * 2 = 21 - 14 = 7
Now you get to try a few of these yourself.
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