what is the greatest number that rounds to 500 when rounding to the nearest tenth

Rounding numbers is very important when you lot desire to tape long numbers and when y'all want to preserve significant figures in calculations. The truth is that you keep using rounding numbers all the fourth dimension. From when you lot need to divide the neb when you lot're eating at a restaurant, when you are calculating a tip or when you are withal thinking virtually how much coin you need to accept with you lot when you go to the grocery store.

What Are Round Numbers?

Simply put, a rounded number has around the same value as the number that yous started with. However, it is less exact.

So, this ways that when you are rounding numbers you will be adjusting the digits either upwards or down to plough your calculations easier. Discover that you volition also become an approximate result and not a precise one.

Why Do Nosotros Round Numbers?

While you already know what round numbers are, nosotros believe that it is important that you understand how useful they are.

The reality is that numbers accept always been very of import to humans since the earliest civilizations. However, every bit you can imagine, some have had more than importance than others.

When you are thinking near numbers, it is impossible not to call up about those that we know represent fact. For example, you know that in that location are lx minutes in an hr, 12 eggs in a carton, and 360 degrees in a circumvolve. Only why is an hour lx minutes and non 100? Why does an egg carton come with a dozen eggs and not with 10, for example? The truth is that there is a reason behind all these numbers that we keep using every day.

The truth is that human beings prefer to use round numbers. After all, they are non but piece of cake to process, easy to brand sense of, as they are also simpler and easy to empathise. Besides, it is important to find the influence that round numbers accept on your life in other ways equally well.

If y'all think virtually Major League players, it is 4 times more likely that they cease a season with a .300 batting boilerplate than with a .299 batting average. And if you consider Sat takers, for example, it is as well more probable to have takers retaking the test if they fall short of a circular number. Besides, y'all also tend to consider a round number when you set specific goals for yourself. Only think about when you want to lose a specific amount of weight or when you desire to run a marathon at a certain footstep.

We can then state that our world is dominated past the base of operations-ten arrangement or the decimal system. After all, you lot tend to use it to talk virtually your age, negotiate your salary or even when you lot are estimating expenses. You talk well-nigh being in your 30s, and your 40s, and your 50s. You don't talk about being in your 37s, for example.

All the same, this isn't the but organisation that we utilise. About 5,000 years ago, the Sumerians developed a sexagesimal system – a base-sixty organization. And the truth is that we still utilize this system or many things in our lives. Just think nigh the 360 degrees, the 60 minutes or the 60 seconds.

Besides, there is likewise the base of operations-12 system that most experts believe that is older than the base-60 system nosotros just mentioned. Yous simply need to remember about the 12 hours, 12 inches or a doze.

Based on all this, we tin can definitely state that:

• Rounded numbers are only judge numbers.
• Rounding makes numbers easier to work with in our heads.
• You can use rounding when yous want to go an answer fast.
• When you are using rounded numbers, you won't e'er get an exact reply.

How To Round Numbers

When you make up one's mind to round a number, you will exist working with fewer digits in most cases. So, while rounding numbers aren't as precise than non-rounded numbers, we have already seen that they can exist very helpful in a wide range of situations on a daily basis.

So, we decided to prove you three dissimilar methods that yous can use when you need to round off numbers.

Method #1: Round Off Decimals:

When y'all are looking to round off decimals, you will need to first decide the place value to which the number is to be rounded. This can be adamant based on the context and the sets of numbers that yous're using or, if you are still in school, this tin can be determined past your instructor. For example, when yous are trying to circular money, information technology is normal that you round it to the nearest hundredth or the nearest cent. In example y'all are rounding a weight, for instance, you will want to round the number to the nearest pound.

Permit'due south say that you are working with the number ten.7659 and that you lot decided to round information technology to the thousandth digit. In this example, y'all will need to await at the digit in the thousandths identify, the number v, which is the third digit to the right of the decimal point.

At present that you know that y'all desire to circular this number to the thousandth, you will need to look at the number that is to its correct. In addition, you will need to check if this new number is either 4 or less than iv or, on the other hand, if it is greater than or equal to v. In our case, you have the ix in this place. And since ix is greater than v, you lot will demand to round the v digit upward. So, it will go a six. When you do this, all the numbers that are on the right of this number will disappear no matter if you are talking about ane number, five numbers or x. Then, at this moment, you have a new rounded number: ten.766.

Let'south say that you were now working with a dissimilar number. In this example, that number would be 10.7653. Let'southward also imagine that you want to still round it to the thousandth. Now, the number that is in the thousands place is once more the number 5. And so, equally we already saw in a higher place, you will need to look at the number that is at its right. In this example, it is number 3. Since this number is lesser than 4, then you lot will demand to round the five down and it volition become a 4. And then, in this case, you will get the 10.764 equally your rounded number.

Method #2: Rounding Off Whole Numbers:

Permit's now take a wait at how you can easily circular off whole numbers.

Let's say that y'all want to round off a number to the nearest tens digit. In order to do this, yous will demand to await at the number that is at the right of the tens digit. In example you don't know, the tens digit is the digit that is second from last in a number before the ones digit. Imagine that you are looking at number 52. In this case, you demand to look at number 2.

Then, yous volition need to get through once more the number to decide if this number is less than 5 or if it is equal or greater to 5. In instance the number is less than 5, yous will maintain the original number. In case it is equal or greater than 5, then you will need to go up 1 digit.

Here are some examples:

• 234 – the rounded number to the nearest tens is 230
• 98 – the rounded number to the nearest tens is 100
• thirteen – the rounded number to the nearest tens is ten
• 1,777 – the rounded number to the nearest tens is ane,780

Allow's now imagine that you want to round off a number to the nearest hundreds digit. Well, in this instance, instead of looking at the tens digit, you volition need to await at the hundreds digit. This is always the third digit from concluding in a number. For case, in the number 6473, the 4 is the hundreds digit. Again, you volition then need to look at the number at its right to determine if you volition maintain the original digit or if it volition need to become down for a digit. The goal is to brand a number after it even 00s.

Hither are som examples:

• 350 – the rounded number to the nearest hundreds is 400
• 99,954 – the rounded number to the nearest hundreds is 100,000
• 16,857 – the rounded number to the nearest hundreds is 16,900
• 5,445 – the rounded number to the nearest hundreds is 5,400

The concluding example we want to show you when we are talking virtually rounding off whole numbers is when you demand to circular off a number to the nearest thousands digit. Once more, the same rules utilise. The just difference is that since you are at present looking to round the number off to the nearest thousandths, you volition need to wait at the thousandth digit. This is the fourth digit from the terminate of the number. Let's say that you have the number 45,960. In this instance, you would demand to expect at the 5 digit.

Hither are some examples:

• 478,456 – the rounded number to the nearest thousands is 478,000
• 1,234 – the rounded number to the nearest hundreds is 1,000
• 12,601 – the rounded number to the nearest hundreds is thirteen,000
• 12,499 – the rounded number to the nearest hundreds is 12,000

Method #three: Rounding Numbers to Meaning Digits

Before we explicate to you lot how this method works, we believe that information technology is of import to clarify, in the first place, what a significant digit is.

Simply put, yous can call back of a significant digit as an of import or interesting digit that is able to give you useful information almost a number. Merely what does this hateful? Well, this means that all the zeroes that are at the right of the whole number or at the left of decimals can simply be discounted since they are placeholders.

When you are trying to determine the number of meaning digits that a number has, you will need to count them from the left to the right. Hither are some quick examples so that you tin fully understand this definition:

• 3782 has 4 significant digits
• 0.04637 has 4 significant digits
• 195.87 has 5 significant digits

So, at present that you already know what significant digits are, and then it is time to learn how you lot can round numbers to significant digits.

When you are trying to round a number to an corporeality of significant digits, then you need to consider the problem you are working on. The truth is that if y'all are rounding a number to ii meaning digits, you volition demand to identify the second pregnant digit of the number. After that, you volition need to use the number that is on its right to run into if you demand to round it up or down.

Let's take a look at some examples:

Let'southward say that you have the number ane.239 and that you desire to round it to 3 significant digits. In this instance, the third digit is the 3. And then, you lot need to expect at the 1 that is on its correct to run into if you're going to round the three upwards or down. Since it is a 9, y'all the 3 will get iv leaving you with the new rounded number 1.24.

Let'due south now say that you have the decimal 0.0165 and you want to round it to 2 significant digits. As you lot can see, this number merely has 3 pregnant digits and the 2d 1 is the 6 digit. So, if yous expect at the number on its right – number v, you can then state that you'll need to round information technology up. And so, you volition go the rounded number 0.017.

Imagine that you want to round to ane significant digit the number 134.nine. As y'all can see, y'all will need to look at the 1 so at the 3, which is the number on its correct. Since 3 is fewer than 5, and so you know that you volition need to round down. Then, you will stop up with a new rounded number of 100.

How To Circular Numbers – Using Our Rounding Estimator

When yous are learning to round numbers and you want to confirm your results or in case you simply demand a quick reply, so yous need to bank check out our rounding calculator which is located at the meridian of this page.

1 of the best things nearly using our rounding calculator is that it is not simply free as it is very like shooting fish in a barrel to piece of work with. Besides, you are about to discover that with our rounding estimator, y'all can round all the numbers you want and fifty-fifty use different rounding methods. But permit'southward take one step at a time.

If you take a closer wait at our rounding figurer, yous tin easily see that you have three distinct spaces: the outset one is where you should add your number no thing if information technology is a whole number or a decimal. Our rounding figurer will help you with both. The second one refers to the way you desire to round your number. Hither, you can cull many different options:

• Round to the nearest 10th
• Round to the nearest hundredth
• Circular to the nearest thousandth
• Round to the nearest one
• Round to the nearest ten
• Circular to the nearest hundred
• Round to the nearest g
• Round to the nearest 10,000
• Circular to the nearest 100,000
• Circular to the nearest million

As you tin see, y'all have all the options that yous need.

In the 3rd identify, y'all will need to select the rounding mode that you want our calculator to use. You can choose between 9 dissimilar rounding modes or methods. We volition exist telling you a scrap more than virtually each one later.

For now, you only need to sympathize that equally before long as you add the number that you want to round then choose to how you want to round it and the rounding mode that you want to use, you just need to click on the Calculate button and our rounding calculator will immediately tell you the result.

Rounding Numbers Past Hand With Practical Examples

As we have seen so far, in that location are many dissimilar ways that you tin can utilize to round your numbers. While you lot can simply use our free calculator to exercise information technology, we believe that it is too of import that you know how to do this on your ain.

So, let'south check the different rounded numbers that yous tin get besides every bit you tin can easily turn a number into a rounded number without whatsoever issues.

#i: Round To The Nearest Tenth Computer

As nosotros already showed you lot, you can easily utilise our circular to the nearest tenth calculator to perform this calculation. However, nosotros as well want to ensure that you tin practise it on your own.

The truth is that at that place are many different situations when you will demand round decimals to the nearest 10th to make the number easier to work with. As well, when y'all sympathise how this works for decimals, you won't have any bug rounding whole numbers likewise.

 Then, permit's say that that you have the number 7.86 and you lot want to circular it to the nearest tenth.

The first affair you lot need to do is to look at the number than comes in the tenth place. In case you don't know or you won't think, this is the number that is immediately to the right of the decimal point. So, in this example, it's the number 8. Now, you volition demand to take a look at the digit that is at the right of this one to know if you will demand to round the 10th number up or down.

In case you don't recollect, when y'all have a number that is equal or great than 5, yous round upward and when you accept a number that is less than 5, yous will round down.

Getting dorsum at our case, the number that is on the right of the 10th number is the six. And then, you will need to round upwardly and you volition stop up with the rounded number 7.9.

Permit's take a wait at a different example. Let's say that you are now trying to round the number 247.137 to the nearest 10th. And so, in this example, the number that is in the tenth place is the 1. Remember that this is the number that immediately follows the decimal point. So, you will then demand to look at the correct side of this number and you come across the number iii.

Every bit we already told, you, when this number is junior to five, then you volition need to round down. This ways that you will end up with a new rounded number: 247.ane.

1 of the things that you need to keep in mind when you ar rounding numbers to the nearest tenth is that in that location are special cases. One of them is when you accept to round downward to a nix in the tenths place.

Here'due south an example. Allow'southward say that you need to round the number four.03 to the nearest tenth. If you check, the tenth number is the 0. So, as you wait at its right, yous meet that the number is 3. This means that yous would need to round down the number. Withal, since yous have a 0 in the tenth place, you will merely maintain it.

This means that you will stop up with the new rounded number: 4.0. While you could but right 4, the truth is that this manner you are clearly showing you that you know how to circular numbers even when you don't use a circular to the nearest tenth calculator.

#2: Round To The Nearest Hundredth Figurer

When you are trying to circular a number to the nearest hundredth calculator, then you need to know that the nearest hundredth is the second digit after the decimal signal.

Let'south take a wait at some examples.

Imagine that you desire to round the number 124.586 to the nearest hundredth. So, as nosotros simply told you, you lot will need to await at the 2nd digit later the decimal point. In this example, you will be looking at the number eight. Now, and following the same procedure that we described previously, you will need to look at the right side of this number. In this example, it'due south the number half-dozen. Since six is greater than 5, and so you will need to round up. So, you lot will get a new rounded number: 124.59.

Here's a new example. But suppose that you demand to round the number 3.141 to the nearest hundredth. Then, again, you volition need to look at the second digit subsequently the decimal point. In this example, yous'll be looking at the number 4. Now, the number that immediately follows it (to the right) is number 1. Since 1 is less than v, then you will demand to circular down. Then, you lot will get a new rounded number: 3.14.

In case you need, just use our round to the nearest hundredth estimator to ostend your results.

#3: Round To The Nearest Thousandth Calculator:

Earlier we proceed with the examples, we want to be certain that yous sympathize what number you will be rounding. So, in case you don't remember or if you simply don't know, the nearest thousandth is the third digit afterwards the decimal betoken.

So, let's bank check two dissimilar examples so that you can fully understand the rounding mechanism.

Permit's imagine that you desire to circular the number 3.8792 to the nearest thousandth. As we already mentioned, you will need to look at the 3rd number to the right of the decimal indicate. Then, in this instance, you will need to expect at number ix since this volition be the number that you will exist rounding (upwards or downwards). And then, to decide how you're going to circular information technology, either up or downwardly, you will need to look at the number at the right of this number. In this case, this number is 2. Since two is inferior to 5, then you volition need to round downwards. This ways that you will end up with a new round number: iii.879.

Her's some other example. Let's now imagine that you want to round to the nearest thousandth the number iii.1416. In this case, the number that you lot will need to round is the 3rd one afterward the decimal indicate which is 1. Then, you will wait at the number that it follows to the right – vi. Since 6 is greater than 5 and then yous will need to round up. This means that you lot will end upwards with a new rounded number: three.142.

In example you need or if you want to bank check your results, just use our round to the nearest thousandth estimator.

#4: Round To The Nearest Whole Number Reckoner:

When you are looking to round a whole number, the process will be even simpler. After all, y'all just need to cheque the location of the number that corresponds to the desired rounding in the number to be rounded.

Hither's a quick rounding numbers example. Let'due south say that you want to round to the hundred the number 53643.

When you want to round a number to the hundreds, you will need to look at the third digit, counting from the left. So, as you can easily meet, we are talking well-nigh number 6. And then, to determine if you volition need to round the number 6 either up or down, y'all will demand to accept a look at the number that is on its right. This is number 4. Since four is junior to v, then you lot volition need to round down.

Remember that when you are rounding numbers to the hundreds, yous will stop up with 00 at the end of the number. And then, in this case, your new rounded number is 53600.

#5: Rounding Numbers To The Nearest Ten

And so, what practice you need to do when you are looking to round numbers to the nearest ten?

Well, it's pretty uncomplicated as y'all are nigh to meet. Let's confirm it with an example since nosotros believe this is the best manner that we accept to testify you how the process goes.

Let's say that yous want to round to the nearest ten the number 323.five.

In this instance, you volition need to identify the digit in the tens place. Equally you tin run across, the number is 2. And then, to determine if you will need to round this number 2 either upward or down, yous will need to check the number that is at it right. In this case, information technology'due south number 3. Since three is inferior to 5, and so yous will maintain the 2 in position.

Remember that when y'all round a number to the nearest x, you will e'er end up with a number that ends in 0. Getting dorsum at our example, you volition go a new rounded number: 320.

Her's another elementary example. Imagine that yous desire to round to the nearest ten the number 499. Once again, you volition need to look at the tens digit. In this case, it's number 9 (the first one in 499). So, to know if you will need to round upward or downwards the 9, you will need to look at the number on its right. In this case, this is the number ix. So, you will need to round it upwardly and you will end up with a new rounded number: 500.

Just use our rounding numbers to the nearest x calculator to confirm your results.

#six: Round To The Nearest Hundred Calculator

Simply like we already showed you above when we were talking about rounding whole numbers, when you are rounding numbers to the nearest hundred, you will need to look at the hundreds digit. Too, you need to know that your numbers will always end with 00.

Here's a quick example. Allow'due south say that you lot want to round to the nearest hundred the number 431. If you lot take a await at this number, you tin easily see that the hundreds number is 3. So, by looking at its right to know if you'll need to round up or downward, you meet the number 1. Since 1 is inferior to 5, and then you will round down. This means that yous will cease upwardly with a new rounded number: 400.

But permit'due south see another example. Imagine that you desire to round to the hundreds the number 958. If y'all check, the hundreds number is 5. And so, by looking at its right, you can see that you have the number 8. Considering that eight is greater than 5, and then you will need to circular upwardly. This means that you will end upward with a new rounded number: 1000.

In case you lot prefer, yous can always use our round to the nearest hundred calculator.

The Different Rounding Modes Or Methods

As nosotros told you when we were explaining to yous how you could use our rounding numbers calculator, thre are different rounding modes or methods that you can utilize when y'all are roudning numbers.

If you remember, and upward until now, we accept always been using the aforementioned rounding numbers style – the defualt ane. Still, there are many more and you should understand each one of them.

#one: Round To The Nearest (Default) Mode:

This is merely the mod or method that we have been using so far. There are mainly two rules when you are using this method. When you lot have a number that is equal or greater than 5, and then yous volition ned to round up the number. On the other mitt, when you accept a number that is less than 5, and then y'all volition need to round information technology downwards.

#ii: Round Half Upward Way:

While you may have never heard or use this method before, the truth is that the round half upwardly mode is very pop and is actually very used.

When you are rounding numbers using this method, you just need to keep in mind that you lot will be rounding values that exist halfway between the selected rounding precision upward.

Allow'due south say that you desire to round the following numbers to ones place. In this case, you would become:

• 5.50 – when rounded to the ones place, you will get 6.
• five.49 – when rounded to the ones place, yous will get 5.
• 5.51 – when rounded to the ones place, you will get 6.

In instance you're not using a rounding decimals estimator or a rounding numbers estimator, and then yous ned to pay extra attention if you lot need to round a negative number. Besides the fact that y'all will ned to maintain the minus sign in the finish of the process, yous need to know that the definition may exist a bit ambiguous when yous are dealing with negative numbers. Let's say that yous desire to round to the ones identify again the post-obit numbers:

• -five.50 – when rounded to the ones place, you will get -5.
• -five.49 – when rounded to the ones place, yous volition go -5.
• -5.51 – when rounded to the ones place, you will get -6.

#3: Round Half Down Mode:

Every bit you lot can hands imagine, the Round One-half Down Way is exactly the contrary of the Circular One-half Upwardly Manner. The difference is that, rather than upward, you lot will be rounding values that are midway betwixt the selected rounding precision downwardly. Here are some examples when you need to round to the ones place:

• 5.50 – when rounded to the ones identify, you will become 5.
• v.49 – when rounded to the ones place, yous will go 5.
• 5.51 – when rounded to the ones place, you will get half-dozen.

Over again here, the definition is a bit cryptic when you are dealing with negative numbers. So, to ensure that you lot completely sympathise the process, here are some examples of numbers that yous want to round ones place:

• -5.50 – when rounded to the ones place, y'all will become -half dozen.
• -5.49 – when rounded to the ones identify, you volition become -5.
• -5.51 – when rounded to the ones place, y'all will get -half-dozen.

#iv: Circular Up (Ceiling) Mode:

When you are asked to use the circular upwards – ceiling manner, and then you lot need to know that y'all may also be told to "take the ceiling". This style implies that you will need to round upwards a number towards the nearest whole number.

Permit'south imagine that you are rounding to the ones place and that any value that is not a whole number volition be rounded up to the next highest integer. This is the case when you want to catechumen the number v.01. By post-obit this manner, you volition get the new round number: 6.

What about if the number you lot want to circular is negative?

In the matter of negative numbers, rounding up means rounding a non-integer (not a whole number) negative number to its following closest, more positive integer. For instance, -v.01 will be -5, -5.l volition be -5, and -5.99 will exist -v.

#v: Round Down (Floor) Manner:

Also referred to equally the "taking the floor", this manner is very similar to the previous i. The difference is that instead of rounding upward, yous will be rounding downwards.

#6: Round Half To Even Mode:

Since it does not take any biases based upon positive or negative numbers or rounding towards or away from zero, rounding one-half to even can exist utilized every bit a tie-breaking rule.

For this technique, half values are rounded to the nearest fifty-fifty whole number. For instance: five.5 volition be 6; 6.five will exist half dozen; -7.5 volition be -8; -8.5 will be 8.

#7: Round Half To Odd Mode:

Rounding one-half to even (in a higher place) is similar to rounding half to odd and can be used as a tie-breaking rule. For this technique, half values are rounded to the nearest odd whole number. For case: 5.five will exist 5; half-dozen.5 volition be 7; -7.5 will exist -7; -eight.five will be -9.

Discover 5 everyday employ of rounding numbers.

#viii: Round Half Away From Zero Mode:

Equally a tie-breaking rule, rounding one-half abroad from zero tin can be utilized and it ways precisely as those words depict: rounding half values abroad from zero. Information technology has no biases regarding negative or positive numbers, but it does have a bias away from zero. Different style to recall of the rounding technique is to circular a half value towards the post-obit whole number closer to positive or negative infinity based upon whether the value is positive or negative. For case: v.5 will be 6; -5.5 will be -six.

Learn more virtually rounding for bookkeeping accuracy.

#9: Circular One-half Towards Zip Mode:

Rounding half away from nil is similar to rounding half towards nil, except that rounding one-half away from zero rounds in the contrary direction. It has no biases towards negative or positive numbers, just it does have a bias towards zero. So, half values volition exist rounded towards the following whole number that is much closer to naught than it is to positive or negative infinity. For instance: 5.5 volition be five; -5.5 will be -five.

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