what is the greatest whole number that rounds to 621 860

Introduction

Numbers are very usually used in our twenty-four hour period to twenty-four hour period life. In general, nosotros need non state the exact number as an reply to the question which requires us to tell about how many. In other words, in order to ease our calculations, we oft guess the numbers to some extent. It helps u.s. give approximate answers where exact values are non required. For instance, we may say that there are around 600 students in a school. That does not necessarily mean that in that location are exactly 600 students in a school. The exact number of students in the school may be somewhere effectually 600 which, for convenience, nosotros have rounded off to 600. Rounding off is besides termed as a shortcut method. Another instance can be if you plan an upshot at home you can just guess the number of guests that are supposed to attend the event. It can be a rough gauge of the number of people say 200. This does non mean that exactly 200 people will nourish the event. This means nosotros can round off numbers to the nearest place value, say 10, 100, 1000 etc.

What are large numbers?

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

What does rounding off mean?

Rounding off is a blazon of interpretation where a number is made simpler by keeping its value intact but closer to the next number. Information technology can be done for whole numbers every bit well as for decimals. There are ii types of rounding off –

1. Rounding Up – Rounding upwards means the round off the given number to the side by side whole number.
2. Rounding Downwardly – Rounding down ways the round off the given number to the previous whole number.

Rounding large numbers to the nearest 10

Allow us now hash out rounding off large numbers to the nearest 10. To do then we shall talk over both methods – rounding upward and rounding downwardly.

Rounding Up

If the number at the tens place is followed by 5, vi, 7, 8, or ix, the number is rounded up.

Example  – We want to round off 365489 to the nearest 10.

• Expect for the digit at the x's place. It is viii.

• Now look for the digit to the right of the digit at the 10's place. The number is nine

Since this number is greater than five, we round up the number, i.east. we circular it off to the nearest 10 that comes next to this number. And so, 9 becomes x which by adding to 8 at the x'southward identify, becomes 90.

Hence, the number 365489 after being rounded off to the nearest ten is 365490

Note: Hither we moved upwardly the number to the nearest ten, which is why it is called rounding up.

Let the states take some other example.

Case  – We desire to round off 9427136 to the nearest ten.

• Look for the digit at the ten's identify. Information technology is 3.

• Now look for the digit to the right of the digit at the x'southward place. The number is half dozen

Since this number is greater than 5, nosotros round upward the number, i.due east. we round it off to the nearest ten that comes next to this number. So, 7 becomes x which past adding to 6 at the ten'southward identify, becomes 70.

Hence, the number 9427136 afterwards being rounded off to the nearest x is 94271400

Now that we have understood what we mean past rounding upward, permit us understand what is meant by rounding down.

Rounding Down

If the number at the hundred's identify is followed by 0, ane, ii, 3 or 4, the number is rounded upward.

Example  – Nosotros desire to round off 9532461 to the nearest x.

• Await for the digit at the ten's identify. Information technology is 6.

• At present look for the digit to the right of the digit at the x's place. The number is 1.

Since this number is less than 5, we round downwardly the number, i.e. we round information technology off to the nearest 10 that comes before this number. And so, 1 becomes 0 which by adding to 6 at the ten's place, becomes 60.

Hence, the number 9532461 later being rounded off to the nearest 10 is 9532460 .

Notation: Hither we moved down the number to the nearest ten, which is why it is called rounding down.

Permit usa consider another example

Example  – We want to round off 1128473 to the nearest ten.

• Look for the digit at the 10's place. It is 7.

• Now look for the digit to the correct of the digit at the 10's place. The number is 3.

Since this number is less than five, nosotros round down the number, i.east. nosotros round it off to the nearest 10 that comes before this number. And so, iii becomes 0 which by adding to 7 at the ten'due south place, becomes seventy.

Hence, the number 1128473 later on being rounded off to the nearest 10 is 1128470 .

Rounding big numbers to the nearest hundred

Let u.s. now discuss rounding off large numbers to the nearest 100. To practice so we shall hash out both methods – rounding up and rounding down.

Rounding Upwardly

If the number at the hundred'southward place is followed by 5, 6, 7, 8, or 9, the number is rounded upwards.

Example  – We want to round off 3954897 to the nearest 100.

• Look for the digit at the hundred's identify. It is viii.

• At present await for the digit to the right of the digit at the hundred's place. The number is 9

Since this number is greater than five, we circular up the number, i.e. we circular it off to the nearest 100 that comes next to this number. And then, 97 becomes 100 which on adding to 8 at the hundred'southward places, becomes 900.

Hence, the number 3954897 later on beingness rounded off to the nearest 100 is 3954900

Let u.s.a. have another example.

Example  – We want to round off 1271367 to the nearest 100.

• Look for the digit at the hundred's identify. It is 3.

• Now wait for the digit to the right of the digit at the hundred's place. The number is 6

Since this number is greater than v, nosotros round upwards the number, i.e. we round it off to the nearest 100 that comes next to this number. And so, 67 becomes 100 which by calculation to three at the hundred'due south places, becomes 400.

Hence, the number 1271367 after existence rounded off to the nearest 100 is 1271400

Rounding Down

If the number at the hundred'due south place is followed by 0, one, two, 3 or 4, the number is rounded upwards.

Example  – Nosotros desire to round off 6624615 to the nearest 100.

• Look for the digit at the hundred's identify. It is six.

• At present look for the digit to the right of the digit at the hundred'south place. The number is ane.

• Since this number is less than 5, we circular downward the number, i.e. nosotros circular it off to the nearest 100 that comes adjacent to this number. And then, fifteen becomes 00 which on adding to 6 at the hundred'south places, becomes 600.

Hence, the number 6624615 subsequently being rounded off to the nearest 100 is 6624600 .

Let us consider another example

Instance  – We want to circular off 784738 to the nearest 100.

• Expect for the digit at the hundred'due south identify. It is 7.

• 2. Now look for the digit to the right of the digit at the hundred'due south place. The number is 3.

Since this number is less than 5, we round down the number, i.e. we round it off to the nearest 100 that comes side by side to this number. So, 38 becomes 00 which on adding to 7 at the hundred's places, becomes 700.

Hence, the number 784738 after being rounded off to the nearest 100 is 784700 .

Rounding big numbers to the nearest one thousand

Let us now discuss rounding off big numbers to the nearest 1000. To do so we shall hash out both methods – rounding upward and rounding down.

Rounding Up

If the number at the yard'south place is followed by five, 6, 7, eight, or ix, the number is rounded up.

Example  – We want to circular off 613629 to the nearest 1000.

• Look for the digit at the yard'southward place. It is 3.

• Now look for the digit to the correct of the digit at the thou's place i.e. the hundred's identify of the number. The number is 6

Since this number is greater than v, we round up the number, i.e. nosotros round it off to the nearest 1000 that comes next to this number. And then, 629 becomes g which on adding to 3 at the thousand's place, becomes 4000.

Hence, the number 613629 after being rounded off to the nearest 100 is 614000

Let us take another example.

Example  – We want to round off 9815810 to the nearest one thousand.

• Expect for the digit at the thousand's place. It is 5.

• Now wait for the digit to the right of the digit at the thousand's place. The number is 8

Since this number is  than v, nosotros circular up the number, i.e. nosotros round it off to the nearest 100 that comes next to this number. So, 810 becomes m which on calculation to 5 at the thousand'due south identify, becomes 6000.

Hence, the number 985810 after being rounded off to the nearest 100 is 9816000

Rounding Down

If the number at the hundred's place is followed by 0, 1, ii, 3 or iv, the number is rounded upwards.

Example  – We want to round off 104328 to the nearest yard.

• Wait for the digit at the thousand'south place. Information technology is four.

• Now look for the digit to the right of the digit at the thousand's place. The number is three.

Since this number is less than five, we circular down the number, i.e. nosotros round it off to the nearest g that comes next to this number. And then, 328 becomes 000 which on adding to 4 at the thousand's place, becomes 4000.

Hence, the number 24615 after being rounded off to the nearest 100 is 104000.

Let u.s. consider another example

Example  – We want to round off 470138 to the nearest 100.

• Look for the digit at the k'southward place. It is 0.

• Now look for the digit to the right of the digit at the thousand's place. The number is 1.

Since this number is less than 5, we round down the number, i.e. we round information technology off to the nearest 100 that comes next to this number. Then, 138 becomes 000 which on adding to 0 at the k's place, becomes 0000.

Hence, the number 470138 afterwards being rounded off to the nearest 100 is 470000 .

Round large numbers in decimals

Large numbers involving decimals can be rounding upward or rounded down in the aforementioned manner as nosotros do for other decimal numbers. This means that we can round off a large number to the nearest 10th, hundredth, thousandth and so an as required. Let us talk over them ane by one.

Round Off to the Nearest Tenth

Rounding off to the nearest tenth is also known as rounding off to one decimal place. So, how do we round off a number to the nearest tenth?

The post-obit are the rules that must exist followed for rounding off a number to the nearest 10th –

1. Identify the identify you want to the round to. ( In case we accept the tenth identify )
2. Examine the digit to the right of the rounding place digit.
3. If that digit is equal to v or greater than 5. Add ane to the rounding place digit. If the digit is less than 5, let the rounding place digit remain equally such.
4. In both cases, drop all the digits to the right of the rounding place digit.

And then, this means that if we want to circular off the number 12365.61 to the nearest tenth, information technology would exist 12365.60

Round Off to the Nearest Hundredth

Rounding off to the nearest hundredth is also known as rounding off to two decimal places. This is the virtually mutual form of rounding off that we apply in solving everyday issues, peculiarly when related to coin. So, how do we round off a number to the nearest hundredth? The following are the rules that must be followed for rounding off a number to the nearest hundredth –

1. Place the place you want to the round to. ( In case nosotros have the hundredths identify )
2. Examine the digit to the right of the rounding place digit.
3. If that digit is equal to five or greater than 5. Add 1 to the rounding place digit. If the digit is less than 5, let the rounding place digit remain equally such.
4. In both cases, drop all the digits to the right of the rounding identify digit.

And then, this ways that if we want to circular off the number 12365.689 to the nearest tenth, it would be 12365.69

Round Off to the Nearest Thousandth

Rounding off to the nearest thousandth is besides known as rounding off to three decimal places. So, how do we circular off a number to the nearest thousandth? The following are the rules that must be followed for rounding off a number to the nearest thousandth –

1. Place the place you want to the round to. ( In case we have the thousandth identify )
2. Examine the digit to the right of the rounding place digit.
3. If that digit is equal to 5 or greater than 5. Add 1 to the rounding place digit. If the digit is less than v, let the rounding identify digit remain as such.

So, this ways that if nosotros want to round off the number 12365.6457 to the nearest 10th, it would be 12365.646

Some more than Example on Rounding Large Numbers

Beneath nosotros have some examples demonstrating rounding off of big numbers –

Example 1 Round off the number 6,852,718 to nearest 10, 100, 1000 and meg

Solution 6,852,783 rounded to the nearest 10 is 6,852,780

six,852,783. rounded to the nearest hundred is half-dozen,852,800

6,852,783 rounded to the nearest thousand is 6,853,000

6,852,783 rounded to the nearest million is 7,000,000

Example ii Round off 121,365,587 to the nearest meg

Solution 121,365,587 rounded off to the nearest 1000000 is  121,000,000

Key Facts and Summary

1. Large numbers is the term that is used to refer to larger numbers that are not used in everyday life.
2. Rounding off is a type of interpretation where a number is made simpler by keeping its value intact merely closer to the next number.
3. Rounding off to the nearest tenth is also known as rounding off to i decimal identify.
4. Rounding off to the nearest hundredth is as well known as rounding off to two decimal places.
5. Rounding off to the nearest thousandth is also known equally rounding off to three decimal places.

Recommended Worksheets

Rounding Off Decimals Up To Thousandths fifth Grade Math Worksheets
Rounding off Multi-digit Whole Number Given its Place Value fourth Grade Math Worksheets
Rounding Whole Numbers (Thousands and X Thousands) (International Women's Twenty-four hours Themed) Math Worksheets

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