Question

$\bold\huge\red {Question}$

Divide using estimation method.

1) 3946 by 57
​

Answer 1

Estimation Method :

In Estimation method we don't get exact solution. But we get the approximate result.

Given,

Numbers = 3946 and 57

We should take the roundoff number of divisor and dividend.

We should take 4000 in the place of 3946 and 60 in the place of 57.

Divide 4000 and 60

4000 ÷ 60

= 4000/60

= 66.66

We got 66.6 when we divided using estimation method.

Here, we should round the quotient too as we are finding the estimated answer.

The round off of 66.66 is 70.

The actual answer when we divide 3946 and 57 then we get 69.2

we can say that estimation method just provide approx answer.

Therefore, estimated quotient is 70.

Answer 2

$\sf {\underline {\underline {Answer :-}}}$

1. Rules of estimation :-

☆ If a number is a two digit number, we should round it off to the nearest tens digit.

For example, 46 ≈ 50.

☆ If a number is a three digit number, we should round it off to the nearest hundreds digit.

For example, 345 ≈ 300.

☆ If a number is a four digit number, we should round it off to the nearest thousands digit.

For example, 5615 ≈ 6000.

$\rule {330}{1}$

Question - Divide 3946 by 57 using estimation method.

$\implies$ 3946 ≈ 4000

$\implies$ 57 ≈ 60

•°• Division of 4000 by 60 is the approximate value of Division of 3946 by 57.

$\sf {\dfrac {4000}{60}}$ = $\sf {\dfrac {4000}{ 60}}$

$\sf {\dfrac {4000}{60}}$ = $\sf {\dfrac {400}{6}}$

$\sf {\dfrac {4000}{60}}$ = $\sf {\dfrac {400}{ 6}}$

$\sf {\dfrac {4000}{60}}$ = $\sf {\dfrac {200}{3}}$

$\sf {\dfrac {4000}{60}}$ = 66.66

$\sf {\dfrac {3946}{57}}$ ≈ 66.66