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Question

Simplify using distributive property:
$$213\times 45 + 213 \times 55$$


A
100
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B
213
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C
21,300
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D
2,130
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Solution

The correct option is B $$21,300$$
The Distributive Property is easy to remember if you recall that "multiplication distributes over addition". 
Formally, they write this property as $$"a(b + c) = ab + ac".$$

$$213\times 45 + 213 \times 55$$
$$= 213 \times (45 + 55)$$ ($$\because$$ distributive property)
$$= 213\times 100$$
$$= 21,300$$.

Mathematics

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