Question

find the product of 45 ×102 using distributive property

Answer 1

45*100 + 45*2

= 4500 + 90

= 4590

Answer 2

The product of 45 × 102 using the distributive property is 4590.

Given,

45 × 102.

To find,

The product of 45 × 102 using the distributive property.

Solution,

Here, we can see that two numbers are given, which are

45 and 102.

We have to determine the product of these numbers using the distributive property.

Firstly, we can write 102 as (100 + 2).

So, we have to determine

45 × (100 + 2).

Now, we know that according to the distributive property, an expression, say x(a + b), can be solved as

$x \times (a+b) = ax + bx \hfill ...(1)$

Thus, we can solve the required expression, using (1) as follows.

45 × (100 + 2)

= (45 × 100) + (45 × 2)

= 4500 + 90

= 4590.

⇒ 45 × (100 + 2) = 4590.

Therefore, the product of 45 × 102 using the distributive property is 4590.

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