Using the distributive property of multiplication over addition to factor. ab+ac=a(b+c) 47 X 99 + 47?

2016-02-20 1:38 pm
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更新1:

Please simplify the expression. Thank you!

回答 (3)

2016-02-20 1:45 pm
47 × 99 + 47

= 47 × 99 + 47 × 1

= 47 × (99 + 1)

= 47 × 100

= 4700
2016-02-20 1:43 pm
We can think of this as:
a = 47
b = 99
c = 1

In other words, think of 47 in the original expression as 47 × 1:
47 × 99 + 47 × 1

Now factor the common 47 to the front:
= 47(99 + 1)

Simplify the part in parentheses:
= 47(100)

Multiply the two numbers to get the final result:
= 4700
2016-02-20 1:40 pm
47 x (99+47)
= (47)(99) + (47)(47)
= 4653+ 2209
= 6862


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