Name
Number Systems, Properties, and Operations
Distributive Property
.
Another very important number property that can be used with whole numbers is
the distributive property. This property lets you take a problem like 5 X (40 + 6) and
rewrite it as (5 x 40) + (5 x 6). This rewriting often makes it easier to solve the problem.
Solve the following:
Example:
8 X 46 = 8 X (40 + 6) = (8 X 40) + (8 X 6) = 320 + 48 = 368
1. 5x36=5x~+
2. 9 x 42 = 9 x (
) = (9 x_)
+
3.12x88=12x(
4. 7x35=7x(_
+ (9 x_)
=
+
=
=
+
)=
) = (5 x 30) + (5 x
)=(12x~+(12x~=_
+_=
=
+
+ ~=(7x~+(7x~=
5. 6x78=6x~+~=(6x~+(6x~=_+_=
6. 8x48 = 8xL+
~
7. 14x 268 = 14 x (
8. 18x 160 = 18 x ~
= (8x_)
+ (8x_)
+~=(14x
+
I
+
=
) + (14 x
) = (18 x
) + (18x~
... - -----
@ Mark Twain Media, Inc., Publishers
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9
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+
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