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Mathematics

Grade-3-

Easy

Question

2 × (5 + 7) is also written as _______

(2 × 5) + (2 × 7)
(7 + 5) + 2
2 + 5 + 7
(2 × 5) + 7

hint Hint:

We will use the distributive law to write this expression in the other form. Distributive law relates multiplication and addition as follows: $a left parenthesis b plus c right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis$ . This law shows that first adding some numbers and the multiplying the sum by some numbers gives same result as first multiplying each number by separately with the number and then adding them

The correct answer is: (2 × 5) + (2 × 7)

Step1: Using the distributive law
Distributive law states that when two numbers are multiplied and then added gives the same result when first added and then multiplied
$a left parenthesis b plus c right parenthesis equals left parenthesis a cross times b right parenthesis plus left parenthesis a cross times c right parenthesis$
Here we are given expression, $2 cross times left parenthesis 5 plus 7 right parenthesis$ and we can write it as follows
$2 cross times left parenthesis 5 plus 7 right parenthesis equals space left parenthesis 2 cross times 5 right parenthesis plus left parenthesis 2 cross times 7 right parenthesis$

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