Question

Q.2
Simplify using distributive property: 402 x 279
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Answer 1

Step-by-step explanation:

402 × 279

=(400+2)×279

=279×400+279×2

=111600+558

=112158

Answer 2

Answer:

the answer is 112,158

Step-by-step explanation:

By using the Distributive property

Given equation : 402 x 279

We can write 402 as (400 + 2)

By using the Distributive property we will simplify the given equation

(400+ 2) * 279

Now , Multiply 279 by each term inside the brackets

400* 279 + 2*279

1,11,600 + 558 = 112,158

OR

We can write 279 as (270 + 9)

By using the Distributive property we will simplify the given equation

402*(270 + 9 )

Now , Multiply 402 by each term inside the brackets

402* 270 + 402 * 9

108,540 + 3618 = 112,158

The distributive property is a fundamental concept in algebra. It states that for any two numbers a and b, and any third number x, (a + b) x x = a x x + b x x. In other words, it allows you to "distribute" one value across another value by multiplying it separately with each term. This property simplifies complex mathematical expressions by breaking them down into simpler, more manageable parts. It is a key concept in algebra, and is used in many areas of mathematics, including geometry and calculus. It is also useful in everyday life, for example when you are doing your shopping, you can use it to simplify and check your calculations.

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