In this article, you have to learn about Estimate to Nearest Hundreds, Rules, how to estimate to nearest hundreds, solved example problems, and so on. The estimation is making a number simple but keeping its value nearest to what it was. Its result is less accurate and easier to use especially while performing arithmetic operations. Estimating a number to the nearest hundred means replacing the units and tens place as zeros and either increasing or decreasing the remaining part of the number by one.
The purpose of rounding (or) estimating the numbers is to make the numbers easier to understand and remember, and the calculations become easier. The application of rounding numbers is when you want to estimate an answer, then rounding is used.
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Estimate to Nearest Hundreds – Definition
Estimate to Nearest 100 is a process where you need to convert the given number into an easy form for various reasons. The obtained number is not the actual number but it is an approximate value of the original number. Estimating to the nearest hundred means writing the nearest 100 of the given number.
Rules for Estimation of Numbers to Nearest Hundred
The following are the 2 different rules for estimating the nearest hundred. The 2 different rules are:
- Rule 1: While Estimate to nearest 100, if the digit in the tens place is between 0 to 4 or less than 5, then the tens place and units place digits are replaced by 0.
- Rule 2: If the digit in the ten’s place is equal to 5 or greater than 5, then the tens place is replaced by 0 and the hundreds place is increased by 1.
How to Estimate a Number to Nearest 100?
The below are steps for the process of Estimating Nearest to 100. They are along the lines
- First, get the number we want to round.
- Next, we have to identify the digit in the tens place.
- If the digit in the tens place is less than 5, then replace zero’s in the tens place, units place digits of the number.
- If the digit in the tens place is more than five or equal to 5, then place zero’s in the tens place and units place and increase the hundredth place digit by 1.
- Now, write the obtained number.
Explore all other Math Concepts similar to Estimation, Rounding Off Numbers all under one roof and practice the activity sheets, practice problems, worksheets, etc. to get a good hold of them.
Examples on Estimation by Rounding Off to Nearest 100’s
Problem 1:
Estimate the following numbers to the nearest 100,
(i) 239
(ii) 3510
(iii) 75
Solution:
The values are given in the question,
Now, we have to round the nearest hundreds of the values.
(i)239
The value is 239, ten’s place digit is 3 means that is less than 5. So, we have to replace the ten’s place digit and units place digit with 0.
So, after replacing digits the value is 200.
Therefore, 239 estimate to nearest 100 is 200.
(ii) The number is 3510
We can see that the digit in tens place is 1 which is less than 5. So, we have to replace the ten’s place and units place digits with 0 and write the remaining digits as it is.
So, after replacing digits the value is 3510.
Thus, 3510 is estimating nearest to 100 is 3500.
(iii) The given number is 75
In this, the tens place digit is 7, which is greater than 5. So, we will place zeros in the tens place, units place, and increase the hundreds digit by one.
So, the obtained value is 800.
Hence, the estimating nearest to 100 is 800.
Problem 2:
To estimate the number to the nearest hundred. The number is 2,00, 579
Solution:
As given in the question, the value is 2,00,579
Now, we have to round the nearest 100 of the given value.
First, we can identify the tens place digit, which is 7, which is greater than 5. So, we have to replace zero in tens place digit, units place digit and increase by 1 of the hundreds place digit.
So, the number is 2,00,579 after replacing and increasing the value is 2,00,600.
Thus, the rounding-off of 2,00,579 to the nearest hundred is 2,00,600.
Problem 3:
Find the value 12,06,769 estimated to nearest hundred?
Solution:
The given number is 12,06,769
Now, we have to find the nearest hundred value of that number.
First, identify the digits in the tens place is 6, which is greater than 5. So, we have to replace the value in the tens place, units place digit with zero and increase by 1 in the hundredth place digit.
So, the value is 12,06,769.
After replacing the value is 12,06,800.
Hence, the value 12,06,769 is nearer to hundreds is 12,06,800.
FAQ’s on Estimate to Nearest Hundreds
1. What is meant by estimate to nearest hundreds?
Estimate to nearest hundred means the estimate of any decimal number to its nearest hundredth value. In decimal numbers, the hundredth means 1/100 (or) 0.01.
2. How many rules are there for estimating nearest to hundreds?
There are 2 rules for estimating nearest to a hundred.
3. How do you round decimals to the nearest 100?
Round a number to the nearest hundred, look at the next place value to the right. If it’s 4 or less than 5, just remove all the digits to the right. If it’s 5 or greater than 5, add 1 to the digit in the hundredths place, and then replace zeros in one place and units place digit.