Estimate to Nearest Thousands

What Does “Estimate to the Nearest Thousand” Mean?

Estimating to the nearest thousand means rounding a number to the closest multiple of 1000.

This helps make numbers simpler and is very useful in:

• Mental math
• Quick calculations
• Real-life situations like money, distance, and population.

Easy Rule for Estimating to Nearest Thousand:

To estimate or round off a number to the nearest thousand, follow these simple steps:

Step I: Look at the hundreds digit of the given number.

Step II: If the hundreds digit is 0, 1, 2, 3, or 4, round the number down to the previous thousand.

Step III: If the hundreds digit is 5, 6, 7, 8, or 9, round the number up to the next thousand.

Step IV: Change the hundreds digit, tens digit and ones digit to zero.

              0 to 4 → Round Down ⬇   |    5 to 9 → Round Up ⬆

This is the basic rounding rule used for nearest thousand estimation. 

The number that are halfway or above are rounded off to the next 1000 and the numbers that are less than halfway are rounded off to the existing 1000.

For Example: 

(i) 8400 is closer to 8000 (or less than halfway). So, it can be rounded down to 8000.

(ii) 8600 is closer to 9000 (or above the halfway). So, it can be rounded up to 9000.

(iii) 8500 is closer to 9000 (or at the halfway). So, it can be rounded up to 9000.

Estimate to Nearest Thousands GAME:

Steps for Rounding to the Nearest Thousand:

In order to estimate to nearest thousands we follow the following procedure:

Step I: Obtain the number.

Step II: Examine the digit at hundreds place.

Step III: If the digit at hundreds place is less than 5, replace each one of the digits at hundreds, tens and ones or units place by 0 and keep all other digits as they are. 

If the digit at hundreds place is 5 or greater than 5, increase the digit at thousands place by 1 and replace each one of the digits at hundreds, tens and ones place by 0.

The number so obtained is the number rounded off to the nearest thousands.

Solved Examples on Estimating to Nearest Tens:

Round off each of the following numbers to nearest thousands.

(i) 14329

Solution:

The given number is 14329.

Its digit at hundreds place is 3, which is less than 5. So, we replace each of the hundreds, tens and ones digits by 0 and keep the other digits as they are.

So, the number 14329 is rounded off to nearest thousands as 14000.

(ii) 14729

Solution:

The given number is 14729.

Its digit at hundreds place is 7, which is greater than 5. So, we increase the digit at thousands place by 1 and replace each one of the digits at hundreds, tens and ones place by 0 to get the rounded off numbers.

Hence, the number 14729 is rounded off to nearest thousands as 15000.

(iii) 14579

Solution:

The given number is 14579.

Its digit at hundreds place is 5. So, we increase the digit at thousands place by 1 and replace each one of the digits at hundreds, tens and ones place by 0 to get the rounded off numbers.

Hence, the number 14579 is rounded off to nearest thousands as 15000.

(iv) Round 8,450 to the nearest thousand:

Solution:

The given number is 8,450.

In 8,450, the hundreds digit = 4

So, according the the rule we round down

Answer = 8,000

(v) Round 8,750:

Solution:

The given number is 8,750.

In 8,750, the hundreds digit = 7

So, according the the rule we round up👉

Answer = 9,000

Important Note:

If the digit in the hundreds place is 0, 1, 2, 3 or 4 we replace the digits in the hundreds, tens and ones place by zeroes. If the digit in the hundreds place is 5, 6, 7, 8, or 9 we replace the digits in the hundreds, tens and ones place by zeros. We also increase the digit in the thousands place by 1.

Practice Questions on Rounding to the Nearest 1000:

Quick Reminder:

Rounding Rule:

• 0 to 4 → Round Down ⬇
• 5 to 9 → Round Up ⬆

Check the hundreds digit to decide whether to round up or down.

A. Round each number to the nearest thousand.

(i) 🟢 Easy Questions

1. 1,245 = ________
2. 2,678 = ________
3. 3,499 = ________
4. 4,500 = ________
5. 5,120 = ________
6. 6,890 = ________
7. 7,300 = ________
8. 8,750 = ________
9. 9,999 = ________
10. 10,240 = ________

(ii) 🟡 Medium Questions

1. 11,550 = ________
2. 12,349 = ________
3. 13,500 = ________
4. 14,720 = ________
5. 15,199 = ________
6. 16,845 = ________
7. 17,499 = ________
8. 18,500 = ________
9. 19,001 = ________
10. 20,650 = ________

(iii) 🔴 Challenging Questions

1. 21,499 = ________
2. 22,501 = ________
3. 23,750 = ________
4. 24,249 = ________
5. 25,999 = ________
6. 26,450 = ________
7. 27,820 = ________
8. 28,300 = ________
9. 29,500 = ________
10. 30,999 = ________

Answer:

A. (i) 

1. 1,000
2. 3,00
3. 3,000
4. 5,000
5. 5,000
6. 6,000
7. 7,000
8. 9,000
9. 10,000
10. 10,000

(ii) 

1. 12,000
2. 12,000
3. 14,000
4. 15,000
5. 15,000
6. 17,000
7. 17,000
8. 19,000
9. 19,000
10. 21,000

(iii) 

1. 21,000
2. 23,000
3. 24,000
4. 24,000
5. 26,000
6. 26,000
7. 28,000
8. 28,000
9. 30,000
10. 31,000

FREE PDF Worksheet on Estimate to Nearest 1000:

FAQs on Estimate to the Nearest Thousand:

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