Question

Find the value of 35 × 12 + 35 × 18 by using distributive property

Answer 1

The value of $35 \times 12+35 \times 18$ using distributive property is 1050

Solution:

We have been given the equation $35 \times 12+35 \times 18$

We need to use distributive property to solve it.

Since this equation is already in expanded form, we take 35 common.

This gives us:

35(12 + 18)    -- eqn 1

Now, to this equation we can apply the distributive property., which states that the distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

So distributing 35 to terms inside brackets in eqn 1, we get

$\begin{array}{l}{35 \times 12+35 \times 18} \\\\ {=420+630=1050}\end{array}$

Therefore, on solving the given equation using distributive property we get the answer as 1050

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