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It is usually applied in arithmetic to simplify multiplication.

For example, find the value of 9*46.

Now, my knowledge of the 9 times table does not extend to 46 nines and I certainly do not know the 46 times table but, using the distributive property:

9 * 46 = 9*(40 + 6)

= 9*40 + 9*6 [That's the step where the distributive property was used]

and, now its easy. I know 9*4 = 36 so 9*40 = 360 and 9*6 = 56

Thus 9 * 46 = 360 + 56 = 416.

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12y ago

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