In order to estimate to nearest hundreds we follow the following procedure:
Step I: Obtain the number.
Step II: Examine the digit at tens place.
Step III: If the digit at tens place is less than 5, replace each one of the digits at tens and ones or units place by 0 and keep all other digits as they are.
If the digit at tens place is 5 or greater than 5, increase the digit at hundreds place by 1 and replace each one of the digits at tens and ones place by 0.
The number so obtained is the number rounded off to the nearest hundreds.
Let us consider some of the examples to estimate to nearest hundreds:
Round off each of the following numbers to nearest hundreds.
(i) 5839
Solution:
The given number is 5839.
Its tens digit is 3, which is less than 5. So, we replace each of the tens and ones digits by 0 and keep the other digits as they are to round off the given number to nearest hundreds.
Hence, 5839 is rounded off to nearest hundreds as 5800.
(ii) 9472
Solution:
The given number is 9472.
Its tens digit is 7, which is greater than 5. So, we increase the digits at hundreds place by 1 and replace each one of the digits at tens and ones place by 0 to round off the given number to nearest hundreds.
Hence, 9472 is rounded off to nearest hundreds as 9500.
(iii) 7456
Solution:
The given number is 7456.
Its tens digit is 5. So, we replace each of the tens and ones digit by 0 and increase the hundreds digit by 1 to get the rounded off number to the nearest hundred.
Hence, 7456 is rounded off to nearest hundreds as 7500.
It follows from the above examples that
(i) the numbers ending in 01 to 49 are rounded off downwards.
(ii) the numbers ending in 50 to 99 are rounded off upwards.
Important Note:
If the digit in the tens place is 0, 1, 2, 3 or 4 we replace the digits in the tens and ones place by zero. If the digit in the tens place is 5, 6, 7, 8, or 9 we replace the digits in the tens and ones place by zeros. We also increase the digit in the hundreds place by 1.
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Estimate to Nearest Tens
Estimate to Nearest Hundreds
Estimate to Nearest Thousands
Estimating Sum and Difference
Estimating Product and Quotient
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Here we will tell you what 437 is rounded to the nearest hundred and also show you what rules we use to get to the answer.
Remember, we do not necessarily round up or down, but to the hundred that is nearest to 437.
When rounding a number such as 437 to the nearest hundred, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
In this case, Rule B applies and 437 rounded to the nearest hundred is:
400
Rounded to Nearest Hundred
Enter
another number below to round it to the nearest hundred.
Created by Wei Bin Loo
Reviewed by Dominik Czernia, PhD candidate and Jack Bowater
Last updated: Mar 11, 2022
This round to the nearest thousand calculator is actually three calculators:
- A round to the nearest thousand calculator;
- A round to the nearest ten thousand calculator; and
- A round to the nearest hundred thousand calculator.
To use them, input your number and all three will be displayed to you immediately. Additionally, you can also change between different types of rounding in the advanced mode.
Read on to learn more about rounding. First of all, what does rounding mean? Rounding is a technique used to decrease the precision of a number so that you only need to deal with it in a simpler form. For instance, most of the time, the number 125,673 is probably not very helpful. Hence, it would make sense to round it to the nearest thousand - 126,000.
Don't worry if this still sounds confusing, we have prepared some examples to demonstrate how rounding to the nearest thousand works.
Round to the nearest thousand calculator - how do you round to the nearest thousand?
The best way to understand the concept is to look at a round to the nearest thousand example: what is 52437 rounded to the nearest thousand?
As the hundredth digit is 4, which is less than 5, the number should be rounded down to 52000. As for 52678, as the hundredth digit is 6, which is larger than 4, it will be rounded up to 53000.
Round to the nearest ten thousand calculator - how do you round to the nearest ten thousand?
Here's another example to help you understand how to round to the nearest ten thousand: what is 23718 rounded to the nearest ten thousand?
As the thousandth digit is 3, the number is rounded down to 20000. For 25600, as the thousandth digit 5 is larger than 4, it will be rounded to 30000.
Round to the nearest hundred thousand calculator - how do you round to the nearest hundred thousand?
Lastly, let's look at this example to understand how to round to the nearest hundred thousand: what is 271403 rounded to the nearest hundred thousand?
Since the ten-thousandth digit is 7, which is greater than or equal to 5, the number should be rounded up to 300000. Since the ten-thousandth digit of 234500 is 3, it will be rounded to 200000.
What are rounding modes?
Now that we have taken a look at a few round to the nearest thousand examples, let's talk about rounding modes- a feature that is available in the advanced mode of this round to the nearest thousand calculator.
The calculation we explained so far uses the half-up rounding mode by default, as it is the most common rounding mode used. However, depending on the situation, you might want to tailor and adjust how the rounding works:
- up - Rounds the number away from zero. 4.3 and 4.6 become 5, but -4.3 and -4.6 become -5.
- down - Rounds the number towards zero. 4.3 and 4.6 become 4, but -4.3 and -4.6 become -4 instead.
- ceil - Rounds the number towards the larger number. 4.3 and 4.6 become 5, but -4.3 and -4.6 become -4.
- floor - Rounds the number towards the smaller number. 4.3 and 4.6 become 4, but -4.3 and -4.6 become -5. Our modulo calculator is based on this principle.
- half up (default) - Rounds the number towards the nearest neighbor. For instance, 4.5 becomes 5 and -4.5 becomes -5. This is how rounding is usually performed.
- half down - Also rounds the number to the nearest neighbor, but slightly different from the half up method. Using half down, 4.5 becomes 4 and -4.5 becomes -4.
- half even - Rounds the number towards the nearest neighbor as well, but if equidistant, it rounds towards the even number. For example, both 3.5 and 4.5 are rounded to 4. 5.5 and 6.5 are rounded to 6. This method is often used in scientific research as it is good at preventing cumulative rounding errors. For instance, it is usually used in determining significant figures.
If you are still confused, just refer to the diagram below:
FAQ
What is 23718 rounded to the nearest ten thousand?
Rounding 23718 to the nearest ten thousand will give 20000.
What is 271403 rounded to the nearest hundred thousand?
If you round 271403 to the nearest hundred thousand, you reach 300000.
What is 52437 rounded to the nearest thousand?
Rounding 52437 to the nearest thousand will make the number into 52000.
How do I round a number to the nearest thousand?
You can round the number to the nearest thousand in five steps:
- Write down the number in question
- Determine the rounding precision
- Determine the appropriate rounding mode
- Identify the number at the hundredth position
- If the hundredth number is larger than 4, round it up. Otherwise round it down.
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