Question

Estimate the product of 63 X 182 using general rule​

Answer 1

Answer:

estimate of 63=60

estimate of 182=180

60*180= 10800

Answer 2

Given:

A mathematical expression 63 x 182.

To Find:

The value of the expression: 63 x 182.

Solution:

The given equation can be solved using the distributive property.

1. According to distributive property the multiplication of the sum of two numbers is always equal to the sum of multiplication of each number. It is mathematically represented as follows,

• (a)(b+c) = ab+ac.

2. The given expression is 63 x 182, I

• 63 can also be written as 60 + 3.
• 182 can also be written as 100 + 80 + 2.

3. The above expression after conversion is (60+3) x (100+80+2), Using the distributive property as mentioned above we can write the given expression as,

=> (60) x (100+80+2) + (3) x (100+80+2),

=> 60 x 100 + 60 x 80 + 60 x 2 + 3 x 100 + 3 x 80 + 3 x 2,

=> 6000 + 4800 + 120 + 300 + 240 +6,

=>  11,466.

Therefore, the value of 63 x 182 is 11,466.