Question

625×(-35)+625×30 using suitable law​

Answer 1

ANSWER

{-43750}

Step By Step Explanation

Now here we have →

625×(-35)+(-625)×35

We shall use a property called DISTRIBUTIVE PROPERTY to solve up this question.

Now,by using DISTRIBUTIVE PROPERTY we have →

{625\times (-35)} + {625 \times(-1)\times 35}625×(−35)+625×(−1)×35

{625\times (-35)} + {625 \times(-35)}625×(−35)+625×(−35)

Taking 625 common from both →

\implies 625\times(-35 - 35)⟹625×(−35−35)

\implies 625\times(-70)⟹625×(−70)

\implies -43750⟹−43750

Extra Information

What does distributive property means?

Ans. Let us assume an expression

ba + ca

-Here we can see a term common in both the terms which are to added.

-So we shall take them as common outside the bracket and then will add the expression which will be inside of the brackets.

Now, the expression become →

a.(b + c)

Let us assume b+c gives some number 'd', so we →

a.d as the product.

-So, from the above example we conclude that distributive property is the property that allows us to multiply an sum by multiplying each addend separately and then add the products which we get.

Answer 2

SOLUTION

TO SIMPLIFY

$\sf 625 \times ( - 35) + 625 \times 30$

Using suitable law

FORMULA TO BE IMPLEMENTED

Distributive PROPERTY

For there real numbers a , b , c

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

EVALUATION

Here the given expression is

$\sf 625 \times ( - 35) + 625 \times 30$

We simplify it using Distributive property as below

$\sf 625 \times ( - 35) + 625 \times 30$

$\sf = 625 \times ( - 35 + 30)$

$\sf = 625 \times ( - 5)$

$\sf = - 3125$

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