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Rounding Numbers

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Last updated date: 18th Sep 2024
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What is Rounding?

Rounding simply refers to making a number simpler while keeping its value nearest to what it was. The outcome however will be less exact, but much easier to use. Example: 92 rounded to the nearest ten are 90 since 92 is closer to 90 than to 100. When rounding a number, you first need to see: what are you rounding it to? We can round the numbers to the nearest ten, the nearest hundred, the nearest thousand, and so on.

Rounding Decimals

Let us see how we perform rounding decimals.

Say we want to round the number 728.363. Typically based upon which place value we'll round to, the final outcome will differ. Rounding 728.363:

Rounding to the nearest hundred, we get 700.

Rounding to the nearest ten, we get 730.

Rounding to the nearest one, we get 728.

Rounding to the nearest tenth, we get 728.4.

Tips for Rounding Decimals

In order to avoid confusion or make errors while solving rounding numbers or rounding long decimals, just consider only the number in the place you are rounding to and also the number that follows it. For example, to round 4.273891401 to the nearest hundredth (100th), just look at the number from the left in the hundredths place—7—and the number that follows it—2. Then you can easily round it to 4.27.

How to do Rounding of Fractions?

Rounding fractions works just in a similar manner as rounding whole numbers. The only difference is that rather than rounding to 10s (tens), (100s) hundreds, thousands (1000s), and so on, we just round to 10th (tenths), 100th (hundredths), 1000th (thousandths), and so on. Let’s consider some examples to get a knowhow of the concept better:

6.7199 rounded to the nearest tenth (10th) is 6.7.

2.0731 rounded to the nearest hundredth (100th) is 2.07.

4.8693 rounded to the nearest thousandth (1000th) is 4.869.

How to do Rounding and Sums?

Rounding can certainly make sums easy. For instance, at a merchant shop you might choose articles with the following prices:

Rs. 3.35

Rs. 0.77

Rs. 1.68

If you wanted to know how much they would cost, you could add up the prices using a calculator, or try to just add them in your head. Or you could simply estimate by rounding off to the nearest rupees, like this:

Rs. 3.00

Rs. 1.00

Rs. 2.00

By rounding off, we could easily find out that we would require about Rs. 6.00 to pay for the items purchased. If you see, this is quite close to the exact number of Rs. 5.8.

Rounding a Number to The Nearest Ten

Round to the Nearest Ten: 799.

Determine the tens digit: the 1st 9 in 799.

Determine the next smallest place value: the 2nd 9 in 799.

Is that digit ≥ five? Thus, round up.

The tens digit increases by one. Because 9+1=10, you would require to carry the 1 and add it to the digit in the 100s place. Each digit then after becomes a zero.

799 rounded to the nearest ten is 800.

Rounding a Number to The Nearest Hundred

Let’s take a digit 4350.

Round to the Nearest Hundred: 4350

Determine the hundreds digit: the 3 in 4350

Determine the next smallest place value: the 5 in 4350

Is that digit ≥ five? : Yes, therefore round up.

Increase the hundreds digit by one, so 3 becomes 4. Every digit after becomes a zero.

4350 rounded to the nearest hundred is 4450.

Did You Know?

• A few statisticians prefer to round 5 to the nearest even number.

• As a result of rounding 5 to the nearest even number, about half of the time five (5) will be rounded up, and about half of the time, it will be rounded down.

• In this way, 38.5 rounded to the nearest even number would be 38—it would be rounded down. And, 38.5 rounded to the nearest even number would be 39—it would be rounded up.

Conclusion

In order to learn how to round a number to its nearest multiple, you can check the online round to nearest multiple calculators. The calculator is a useful tool to round to multiples of whole numbers or decimals.

How to Prepare Notes on Rounding Numbers?

• All students must go through Rounding

• Students can read up the matter here and then highlight all the important areas

• They can follow the sequence that’s here and then understand whatever has been explained

• They must not copy everything from the page but write them down in their own words

• They can use drawings and other forms of illustrations to better understand the topic

• They can then revise from the same before a test

Does Vedantu have any Material on Rounding Numbers?

Yes, Vedantu has ample study material on Rounding numbers. All students can read from Rounding and understand the topics better. They can go through this page as it has all the information that they need. This material can be accessed in the form of a PDF offline even when students do not have access to the internet.

FAQs on Rounding Numbers

1. What is meant by a round number?

A round number is mathematically described as an integer that is the product of a reasonable number of relatively small factors in comparison to its neighboring numbers, such as 56 = 2 × 2 × 2 × 7. A round number is informally regarded as an integer that ends with one or more "0"s in a provided base. That being said, a rounded number has approximately the same value as the number you begin with, but it is less accurate.

2. What is an example of a round number?

Take for example the number 431. In this case, 431 rounded to the nearest hundred are 400. Since 431 is closer in value to 400 than to 500. When rounding off to the nearest dollar, ＄2.78 becomes ＄3.00, because ＄2.78 is closer to ＄3.00 than to ＄2.00.

3. How to round numbers?

Below is standard rules for rounding a number:

• If the number you want to round is followed by 5, 6, 7, 8, or 9, round up the number like 47 rounded to the nearest ten is 50.

• If the next smallest place value is ≥ to five (5, 6, 7, 8, or 9), you raise the value of the digit you're rounding to by (+1).

• Any left out digits before the decimal point becomes zeros, and after one’s are dropped.

• If the number you want to round is followed by 0, 1, 2, 3, or 4, round down the number like 43 rounded to the nearest ten is 40.

4. How can students perform rounding decimals?

This page has valid information on the topic and can be used by all students to study the topic. Once they have gone through this page, they will understand how such topics need to be dealt with. Rounding decimals is an easy chapter if they are understood properly by the students. This page will guide them in the right manner.

5. How can fractions be rounded?

The rounding of fractions is similar to the rounding of whole numbers. There is a slight difference in the approach used. IT gets clearer if the students read Rounding on Vedantu. This page has a lot of information that is relevant for the students of math to know about. Unless these basics are clear, they will not be able to solve the other sums that are based on these. The exact manner has been explained in the chapter so that the students understand how fractions are rounded and avoid making errors in the tests. They can even revise from this page before they appear for a test on the topic as this page has covered nearly everything.

6. How can a number be rounded to the nearest ten?

All the explanations have been provided on Vedantu if the students check out Rounding. This page has been created by expert Math teachers who know the topic inside out and so, only the most relevant bits have been included here. All the explanations provided here are valid and any student who is struggling with the fundamentals of Rounding Numbers can read from here. This page is the ideal guidebook for all students of Math.

7. How can a student know about the kinds of sums that might come for a math test on Rounding Numbers?

Students who have math tests on Rounding Numbers can read from Rounding  on Vedantu’s platform.  This page has genuine input on the topic and is quite easy to understand. The explanations are to the point and in simple terms. Any student grappling with certain concepts of Rounding Numbers can read this page and understand the topic better. It is quite informative and strategic before a test on the same. The material provided is free of cost for all students, teachers and parents.

8. Are there any hacks or tips for rounding decimals?

There are quite a few hacks that the students can employ so as to make the rounding of numbers easier.  Some of which have been mentioned in Rounding on Vedantu’s online tutoring platform. This page has everything that the math student needs to understand about Rounding numbers. It is quite useful and also quite simple to understand. Knowing the tricks about Rounding Numbers will assist the students in doing well in their exams. They will be able to tackle all questions related to the topic that comes their way. A strategic approach in a subject like Math can do wonders.