Round off to Nearest 100

In round off to nearest 100 we will learn how to round the number to the nearest hundred.

To round off a number nearest to 100, look at the tens digit.

182 → 200

437 → 400

If the digit at the tens place is greater than 5, round off to the next 100.

If the digit at the tens place is less than 5, round off to the existing 100.

For example,

• 502 can be rounded to 500.

• 669 can be rounded to 700.

Rules for Rounding off to the Nearest 100:

Rule I: While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’.

Rule II: If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.

Examples on rounding off to the nearest hundred (100):

1. (i) 142 → 100

We see the digit in the tens place is 2, we round to the nearest multiple of hundred which is less than the number. Hence, 142 is nearer to 100 than 200.

(ii) 486 → 500

We see the digit in the tens place is 8, we round to the nearest multiple of hundred which is greater than the number. Hence, 486 is nearer to 500 than 400.

(iii) 799 → 800
We see the digit in the tens place is 9, we round to the nearest multiple of hundred which is greater than the number. Hence, 799 is nearer to 800 than 700.

(iv) 4387 → 4400

We see the digit in the tens place is 8, we round to the nearest multiple of hundred which is greater than the number. Hence, 4387 is nearer to 4400 than 4300.

(v) 950 → 1000

We see the digit in the tens place is 5, we round to the nearest multiple of hundred which is greater than the number. Hence, 950 is nearer to 1000 than 900.

2. Round off 7,45,677 to the nearest 100.

Solution:

We choose the two multiple of 100 just greater than and just less than 7,45,677 on the number line.

$Round off to Nearest 100$

We observe that 7,45,677 is closer to 7,45,700. So, it is rounded down to 7,45,700.

Round off to Nearest 100

Step I: Replace ones and tens digits by zeroes.

Step II: If tens digit is 5 or more than 5, increase the hundreds digit by 1, otherwise do not change.

Step III: Leave rest of the digits unchanged.

3. Round off to the nearest hundred: 5486

$Round off to the Nearest 100$

4. Round off to the nearest hundred: 28436

$Round off to the Nearest Hundred$

5. Round off (i) 243, (ii) 1887 to the nearest 100.

Solution:

(i) 243 is rounded off to 200 because the digit at the tens place is 4.

(ii) 1887 is rounded off to 1900 because the digit at the tens place is 8.

Worksheet on Round off to Nearest 100:

1. Round off the following 3-digit numbers to the nearest 100.

(i) 112

(ii) 181

(iii) 497

(iv) 568

(v) 239

(vi) 909

(vii) 740

(viii) 516

(ix) 380

(x) 445

Answer:

1. (i) 100

(ii) 200

(iii) 500

(iv) 600

(v) 200

(vi) 900

(vii) 700

(viii) 500

(ix) 400

(x) 400

2. Round off the given numbers to nearest 100.

(i) 3,398

(ii) 39,872

(iii) 6,201

(iv) 19,661

(v) 15,449

(vi) 82,069

(vii) 1,00,678

(viii) 19,32,208

Answer:

2. (i) 3,400

(ii) 39,900

(iii) 6,200

(iv) 19,700

(v) 15,400

(vi) 82,100

(vii) 1,00,700

(viii) 19,32,200

3. Round off to the nearest hundred:

(i) 625

(ii) 42753

(iii) 2876

(iv) 67527

(v) 3456

(vi) 1281

Answer:

3. (i) 600

(ii) 42800

(iii) 2900

(iv) 67500

(v) 3500

(vi) 1300

4. Round the following numbers to the nearest hundreds:

(i) 127

(ii) 351

(iii) 726

Answer:

4. (i) 100

(ii) 400

(iii) 700

5. Round 2698 to the nearest hundreds.

Answer:

5. 2700

6. An author sold 45,379 copies of book. For the newspaper report, the figure was rounded to nearest 100. What was the figure given in the newspaper?

Answer: 45,400

How to round off a number to the nearest 100?

Answer

To round off a number to the nearest hundred, look at the digit in the tens place.

• If the digit in the tens place is 4 or less, then place zeroes in the tens and ones place. The digit in the hundreds place remain the same.

• If the digit in the tens place is 5 or more, then place zeroes in the tens and ones place. Add 1 to the digit in the hundreds place.

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