Question

2(3 + 4) = (2 * 3) + (2 * 4) The above is known as a. b. C. d. Distributivity of multiplication over addition. Associativity of multiplication None of these Associativity of addition.​

Answer 1

Answer:

y+z)=(x×y)+(x×z)

x(y+z)=(x×y)+(x×z) shows the distributive property of multiplication over addition.

Answer 2

2 × (3 + 4) = (2 × 3) + (2 × 4)

The above is known as (a) Distributivity of multiplication over addition

Correct question :

2 × (3 + 4) = (2 × 3) + (2 × 4)

The above is known as

(a) Distributivity of multiplication over addition

(b) Associativity of addition

(c) Associativity of multiplication

(d) None of these.

Given :

The expression 2 × (3 + 4) = (2 × 3) + (2 × 4)

To find :

2 × (3 + 4) = (2 × 3) + (2 × 4)

The above is known as

(a) Distributivity of multiplication over addition

(b) Associativity of addition

(c) Associativity of multiplication

(d) None of these.

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

2 × (3 + 4) = (2 × 3) + (2 × 4)

Step 2 of 2 :

Find the property Used

Distributive property of multiplication over addition states that for three numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

Now we take a = 2 , b = 3 , c = 4

Then above becomes

$\sf{2 \times (3 + 4) = (2 \times 3) + (2 \times 4)}$

Hence the correct option is (a) Distributivity of multiplication over addition

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