Knowledge Builders

how do you round long numbers

by Mrs. Maida Price Published 3 years ago Updated 2 years ago
image

How do you round long numbers?

  • If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
  • If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
  • All the numbers to the right of the place you are rounding to become zeros.

When rounding numbers, if the digit to the right is 4 or less, we round down (we leave the number we are rounding the same). If the digit is 5 or higher, we round up (we increase the digit we are rounding by 1). Round to the indicated place value.Jan 4, 2021

Full Answer

How many times can you round a number?

Using the ROUNDDOWN function on a positive number always rounds a number down, and ROUNDUP always rounds a number up. The ROUND function rounds a number containing a fraction as follows: If the fractional part is 0.5 or greater, the number is rounded up. If the fractional part is less than 0.5, the number is rounded down.

How do you round numbers that end in 5?

Method 6 of 6: Rounding in Excel

  1. Click the cell next to the number you want to round. Type in all of your data and make sure it’s correct.
  2. Type “=ROUND (” into the equation field. In the fx field near the top of the screen, type an equal sign and the word ROUND followed by an opening ...
  3. Click the cell that you’d like to round. ...
  4. Type a comma and the digits that you’d like to round to. ...

More items...

How do I calculate the round of a number?

Truncation function can be implemented in following way:

  • Multiplying the number by 10^p (10 raised to the pth power) to shift the decimal point p places to the right.
  • Taking the integer part of that new number using int ().
  • Shifting the decimal place p places back to the left by dividing by 10^p.

How do you round to the greatest number?

Y = round (X,N) rounds to N digits:

  • N > 0: round to N digits to the right of the decimal point.
  • N = 0: round to the nearest integer.
  • N < 0: round to N digits to the left of the decimal point.

image

How do you round numbers in numbers?

Here's the general rule for rounding:If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ... If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

How do you round numbers step by step?

Step 1: Circle the place value of the digit to be rounded. This is the rounding digit. Step 2: Look to the neighboring digit on the right. Step 3: a) If the neighboring digit is less than five (0 - 4), keep the rounding digit the same.

How do you round a 7 digit number?

0:424:39Round seven-digit numbers to the required degree of accuracyYouTubeStart of suggested clipEnd of suggested clipSo we keep the five and the one then we add one to the place value we're rounding to and turn digitsMoreSo we keep the five and the one then we add one to the place value we're rounding to and turn digits to the right into zeros. Now to the nearest.

Do you round 7.5 up or down?

Round to Even (Banker's Rounding) 7.5 rounds up to 8 (because 8 is an even number) 7.4 rounds down to 7. 6.6 rounds up to 7. 6.5 rounds down to 6 (because 6 is an even number)

How do you round 378?

378 rounded to the nearest ten with a number lineDetermine the two consecutive multiples of 10 that bracket 378.378 is between 370 and 380.375 is the midpoint between 370 and 380.As illustrated on the number line, 378 is greater than the midpoint (375)Therefore, 378 rounded to the nearest ten = 380.

How do you round a 6 digit number?

0:3210:22Rounding whole numbers - up to six digits (4th grade math) - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo it has to have three zeros right. So if it was originally some you know 2547 then all those otherMoreSo it has to have three zeros right. So if it was originally some you know 2547 then all those other digits are changed to zeros so that we get whole thousands.

What number can be rounded to 5000?

4732Example: To the nearest tens, 46 rounded to 50 . To the nearest hundreds, 353 rounded to 400 . To the nearest thousands, 4732 rounded to 5000 .

Why do we round 5 up?

If there is a non-zero digit, then we round up, because the number is greater than 0.15. Either way we round up, which means that we don't actually need to bother looking at any places to the right of the hundredths place to determine our action.

How do you round thousands?

0:082:08Rounding Off to the Nearest Thousand - YouTubeYouTubeStart of suggested clipEnd of suggested clipThousand when rounding to the nearest. Thousand. We look at the digit in the hundreds. Place theMoreThousand when rounding to the nearest. Thousand. We look at the digit in the hundreds. Place the digit in the hundreds place is four digits that are four or less are rounded.

What is 3.6 rounded to the nearest whole number?

4Here's the description of all modes, we'll round to the nearest whole number. up - rounds away from zero. 3.2 and 3.6 become 4 , but -3.2 and -3.6 become -4 .Rounding Calculatorhttps://www.omnicalculator.com › math › roundinghttps://www.omnicalculator.com › math › rounding

How to round a decimal to 5?

To round off decimals, look at the digit to the right of your rounding number. If it’s greater than or equal to 5, round up by adding one to your rounding number. If it’s less than 5, round down by leaving your rounding number alone. For example, round 10.7659 to 10.766, since 9 is greater than 5.

When rounding off a weight, do you round to the nearest pound?

When rounding off a weight, round to the nearest pound. The less precise number required, the more you can round (to higher place values). More precise numbers should be rounded to lesser place values. If you are rounding a fraction, convert it to a decimal before rounding.

What is 10.7659 rounded to?

So, if you're rounding the number 10.7659 to the 5 digit, it would be rounded up to a 6, making the number 10.766. Though 5 is in the middle of the numbers 1-9, it is generally agreed that the digit 5 will require a number before it to be rounded up.

What is the tens digit?

The tens digit is the digit that is second from last in a number, before the ones digit. (If you're looking at 12, look at the number 2.) Then, if that number is less than 5, keep the rounding number the same; if it is greater than or equal to 5 round the rounding number up one digit. Here are some examples: 12 --> 10.

Why is it called rounding up?

This is called rounding up because the number you were rounding to becomes greater than the original number. Your original digit, 5, becomes a 6. All of the numbers to the left of the original 5 will remain the same, and the numbers to the right of it will disappear (you can think of them as becoming zeroes).

How many significant digits are in 10.7659?

You can also think of this as rounding the number to five significant digits.

Why round to 10.765?

In this case, if you're working with the number 10.7653, you would round it down to 10.765 because the digit 3 to the right of the 5 is on the low end of the scale. By keeping it the same and changing all numbers to its right to 0, the final rounded number is less than the original beginning number.

How to round up a number?

First, determine what your rounding digit is and then look to the digit at the right side. If the digit is 0, 1, 2, 3, or 4, do not change the rounding digit. All digits that are on the righthand side of the requested rounding digit become 0. If the digit is 5, 6, 7, 8, or 9, the rounding digit rounds up by one number .

How to round a number to the right?

Determine what your rounding digit is and look to the right side of it. If that digit is 4, 3, 2, or 1, simply drop all digits to the right of it . If that digit is 5, 6, 7, 8, or 9 add one to the rounding digit and drop all digits to the right of it.

How to round decimals?

Rounding Rules for Decimal Numbers 1 If that digit is 4, 3, 2, or 1, simply drop all digits to the right of it. 2 If that digit is 5, 6, 7, 8, or 9 add one to the rounding digit and drop all digits to the right of it.

What is the rounding digit in whole numbers?

When working with whole numbers and rounding to the closest 10, the ​ rounding digit is the second number from the right—or the 10's place.

When do you round off to the nearest even digit?

When the first digit dropped is 5 and there are no digits following or the digits following are zeros, make the preceding digit even (i.e., round off to the nearest even digit). Following this rule, 2.315 and 2.325 both round to 2.32—instead of 2.325 rounding up to 2.33—when rounded off to the nearest 100th.

Why rounding a tip?

In everyday life, rounding is useful for calculating a tip or dividing the bill among diners when eating at a restaurant, or when you're estimating the amount of cash you'll need for a trip to the grocery store.

Introduction

Numbers are very commonly used in our day to day life. In general, we need not state the exact number as an answer to the question which requires us to tell about how many. In other words, in order to ease our calculations, we often approximate the numbers to some extent. It helps us give approximate answers where exact values are not required.

What are large numbers?

Large numbers are the term that is used to refer to larger numbers that are not used in everyday life. For instance, one million, one billion etc. are all considered large numbers. Even the numbers having digits in the place value of thousands and ten thousand are considered larger numbers.

What does rounding off mean?

Rounding off is a type of estimation where a number is made simpler by keeping its value intact but closer to the next number. It can be done for whole numbers as well as for decimals. There are two types of rounding off –

Rounding large numbers to the nearest ten

Let us now discuss rounding off large numbers to the nearest 10. To do so we shall discuss both methods – rounding up and rounding down.

Rounding large numbers to the nearest hundred

Let us now discuss rounding off large numbers to the nearest 100. To do so we shall discuss both methods – rounding up and rounding down.

Rounding large numbers to the nearest thousand

Let us now discuss rounding off large numbers to the nearest 1000. To do so we shall discuss both methods – rounding up and rounding down.

Round large numbers in decimals

Large numbers involving decimals can be rounding up or rounded down in the same manner as we do for other decimal numbers. This means that we can round off a large number to the nearest tenth, hundredth, thousandth and so an as required. Let us discuss them one by one.

What Is Rounding?

Rounding is the process of adjusting digits to make calculations easy and quick.

Rounding Using a Number Line

Let’s take our rounding know-how a notch up by learning how to round using a number line. Let’s understand the underlying place value concept.

How to Round Numbers to the Nearest 100

Now let’s move on to rounding a 4-digit number 3,895 to the nearest 100.

How to Round Numbers to the Nearest 1,000

Let’s move one more rung up the ladder and try rounding 29,476 to the closest 1,000.

How to Round Numbers to Any Place

Let’s press on and learn to round multi-digit whole numbers to the nearest 10,000, 100,000, and 1,000,000. All we need to do is follow the usual steps: choose the target digit, check if the digit to its right is < or ≥ 5, and round the number accordingly.

Calculator Use

Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.

Rounding Numbers

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

Related Calculators

To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Calculator. Round to multiples of whole numbers or decimals such as tenths, hundredths, thousandths, etc.

How to round decimals?

To round decimals, first find out the place you want to round to and look at the number in the place to its right. If this number is greater than or equal to five, round up by adding one to your place value. If it’s less than five, round down by leaving your place value as is.

How to round to the nearest hundredth?

It depends on to which place you want to round. If you want to round to the nearest hundredth, look at the digit in the thousandths place. Since that digit is 6, round up to 999.96. However, if you want to round to the nearest one, look at the 9 in the tenths place, and round up to 1,000.

What is the term for rounding decimals?

No mathematician likes working with a long, awkward string of decimals, so they will often use a technique called "rounding" (or sometimes "estimating") to make these numbers easier to work with. Rounding a decimal is a lot like rounding a whole number — just find the place value you need to round to and look at the digit to the right.

What does the right of a decimal represent?

When there is a decimal point in a number, the numbers to the right of the point represent fractions of one. The places to the right of the decimal point have names that mirror the names of the whole number decimal places.

How many people edit wikihow?

wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 14 people, some anonymous, worked to edit and improve it over time. This article has been viewed 51,378 times.

Can you round 12.9889 down?

This means to leave the rounded digit as it is and get rid of the digits after it. You wouldn't round 12.9889 down because the final 9 isn't 4 or lower. However, if you were working with the number 12.988 4, you could round it down to 12.988.

image

1.Rounding Numbers - Math is Fun

Url:https://www.mathsisfun.com/rounding-numbers.html

28 hours ago How do you round long numbers? If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. All the numbers to the right of the place you are rounding to become zeros.

2.6 Ways to Round Numbers - wikiHow

Url:https://www.wikihow.com/Round-Numbers

9 hours ago  · Round numbers to the nearest hundred and beyond To round numbers to the nearest hundred, or thousand, or beyond, focus only on two digits: the digit in the place you’re rounding to and the digit to its immediate right. Change all other digits to the right of these two digits to 0s. For example, suppose you want to round 642 to the nearest hundred.

3.Simple Rules for Rounding Numbers Correctly - ThoughtCo

Url:https://www.thoughtco.com/how-to-round-numbers-2312079

20 hours ago To do so we shall discuss both methods – rounding up and rounding down. Rounding Up If the number at the tens place is followed by 5, 6, 7, 8, or 9, the number is rounded up. Example – We want to round off 365489 to the nearest 10. Look for the digit at the ten’s place. It is 8. Now look for the digit to the right of the digit at the ten’s place.

4.How to Round Numbers - dummies

Url:https://www.dummies.com/article/academics-the-arts/math/basic-math/how-to-round-numbers-191290/

20 hours ago How to Round Numbers to Any Place Let’s press on and learn to round multi-digit whole numbers to the nearest 10,000, 100,000, and 1,000,000. All we need to do is follow the usual steps: choose the target digit, check if the digit to its right is < or ≥ 5, and round the number accordingly. Let’s take a 7-digit number 7,849,625 this time.

5.Rounding Large Numbers | Examples, Calculator, Up, …

Url:https://helpingwithmath.com/rounding-large-numbers/

22 hours ago Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent. Rounding Numbers Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840

6.How to Round Whole Numbers | Rules and Examples

Url:https://www.tutoringhour.com/lessons/rounding-whole-numbers/

8 hours ago  · Rounding numbers makes long numbers easier to work with. To round a two-digit number to the nearest ten, simply increase it or decrease it to the nearest number that ends in 0: When a number ends in 1, 2, 3, or 4, bring it down; in other words, keep the tens digit the same and turn the ones digit into a 0.

7.Rounding Numbers Calculator

Url:https://www.calculatorsoup.com/calculators/math/roundingnumbers.php

3 hours ago  · One common rounding task is to round a number to the nearest whole number (sometimes, this will be explained as "rounding the number to the ones place"). In this case, use the same rounding technique as before. In other words, start at the ones place, then look at the number to the right. If this number is 5 or greater, round up.

8.How to Round Numbers Up and Down - dummies

Url:https://www.dummies.com/article/academics-the-arts/math/basic-math/how-to-round-numbers-up-and-down-150586/

33 hours ago

9.How to Round Decimals: 11 Steps (with Pictures) - wikiHow

Url:https://www.wikihow.com/Round-Decimals

20 hours ago

10.Videos of How Do You Round Long Numbers

Url:/videos/search?q=how+do+you+round+long+numbers&qpvt=how+do+you+round+long+numbers&FORM=VDRE

21 hours ago

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9