Name: Estimation of Number
Uploaded: 2019-07-19
Duration: 3 min 39 s
Description: What is approximation? and Where do we need it? To learn this concept must watch this video. Also, to learn rounding off of a number, you can watch this video.

Question

Round off each of the following to the nearest ten, nearest hundred and nearest thousand.

$68, 076$

Accepted Answer

Given number is $68, 076$

Rounding off to nearest ten:

While rounding off to the nearest ten if the digit in the unit place is $5$ to $9$ i.e., $> 5$ , then the units place is replaced by $0$ and ten's place increased by $1$ .

The number in unit's place is $6$

Since $6 > 5$

We increase the ten's place by $1$ and

Replace the unit's place by $0$

Then, $68, 076$ rounded off to the nearest ten is $68, 080$

Rounding off to nearest hundred:

While rounding off to the nearest hundred, if the digit in the ten's place between $5 - 9$ i.e., $> 5$ , then the ten's place and one's place is replaced by $0$ and the hundreds place is increased by $1$ .

The number in ten's place is $7$

Since $7 > 5$

We increase the hundred's place by $1$ , and,

Replace the ten's and unit's place by $0$

Then, $68, 076$ rounded off to the nearest hundred is $68, 100$

Rounding off to nearest thousand:

While rounding off to the nearest thousand, if the digit in the hundreds place is between $0 - 4$ i.e., $< 5$ , then hundred's place is replaced by $0$ .

The number in hundred's place is $0$

Since $0 < 5$

We replace the hundred's, ten's and unit's place by $0$

Then, $68, 076$ rounded off to the nearest thousand is $68, 000$

Therefore, $68, 076$ rounded off to nearest ten, nearest hundred and nearest thousand are $68, 080; 68, 100$ and $68, 000$ respectively.

R K Bansal Solutions for Chapter: Estimation, Exercise 1: EXERCISE

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