What is 1,289,845 rounded to the nearest thousand?
The population of London in 2019 was around 9 one thousand thousand. Does that mean that its population is exactly nine million? No, not then. Look advisedly at the word around earlier 9 million. This means the population of London is somewhere near the number 9 million. Information technology can be slightly less than nine million or it can exist greater than 9 million. This is called rounding off a number.
And so, how do you round off a number. We have learned about the place values of a number. These can be ones, tens, hundreds, thousands and furthermore. When rounding off a number, it is this place value that helps u.s.a. determine where to round off a number.
So, how do we decide how to round off a number to the nearest one thousand?
Before understanding the rules to round off a number, it is important to sympathize what does rounding off to 1000 hateful?
It ways that nosotros wish to circular off the last four digits of a number, i.e. up to the thousands place of a number.
Rounding Upwards vs Rounding Down
Rounding Up
If the number at the yard'due south place is followed by v, vi, vii, viii, or ix, the number is rounded upward.
Example – We want to circular off 613629 to the nearest 1000.
1. Look for the digit at the thousand'due south place. It is iii.
2. Now look for the digit to the right of the digit at the 1000'southward place i.e. the hundred's place of the number. The number is 6.
3. Since this number is greater than 5, we round up the number, i.e. we round it off to the nearest grand that comes next to this number. Then, 629 becomes 1000 which on adding to three at the thousand'south identify, becomes 4000.
Hence, the number 613629 after being rounded off to the nearest 100 is 614000
Annotation : Here we moved upward the number to the nearest thousand, which is why it is chosen rounding upwardly.
Let the states take another example.
Case – We want to circular off 9815810 to the nearest thousand.
one. Await for the digit at the g's place. It is 5.
2. Now look for the digit to the correct of the digit at the 1000'southward identify. The number is 8
3. Since this number is than 5, we round up the number, i.e. we round it off to the nearest 100 that comes next to this number. So, 810 becomes 1000 which on adding to five at the thousand's place, 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, two, three or 4, the number is rounded up.
Instance – Nosotros want to circular off 104328 to the nearest thousand.
1. Look for the digit at the grand's identify. It is iv.
ii. Now wait for the digit to the correct of the digit at the thousand's place. The number is three.
3. Since this number is less than 5, we circular down the number, i.e. we round it off to the nearest 1000 that comes next to this number. So, 328 becomes 000 which on calculation to iv at the thousand's place, becomes 4000.
Hence, the number 24615 after beingness rounded off to the nearest 100 is 104000.
Note : Hither we moved downward the number to the nearest hundred, which is why it is called rounding down.
Let us consider another instance
Instance – Nosotros want to circular off 470138 to the nearest 100.
1. Expect for the digit at the thousand's place. Information technology is 0.
ii. Now look for the digit to the right of the digit at the thousand's identify. The number is 1.
three. Since this number is less than five, we round downwards the number, i.east. nosotros round it off to the nearest 100 that comes side by side to this number. So, 138 becomes 000 which on adding to 0 at the thousand's place, becomes 0000.
Hence, the number 470138 subsequently beingness rounded off to the nearest 100 is 470000.
Graphical Representation
Rounding off to the nearest 1000 can also exist understood graphically as shown below
First information technology should be understood that when you are rounding off to the nearest 1000, the digit at the grand'southward place needs to be looked into.
Let the states take a number 7348
This number lies between 7000 and 8000. To round off this number, either we accept information technology back to 700 or move information technology forwards to 800. How do we determine where to go?
Look at the number line below:
The numbers that lie in the cherry-red areas volition exist rounded downwardly to 7000. Similarly, the numbers that lie in the bluish areas volition be rounded upward to 8000. This is because the numbers that lie in scarlet areas, i.eastward. the numbers between 7001 and 7499 are closer to 7000 as compared to 8000. Hence they volition be rounded downward.
All the same, the numbers that lie between 7500 and 7999 are closer to 8000 due to which they would exist rounded up to 8000.
Remember
When rounding off a number to the nearest thousand, look at the HUNDREDS'South DIGIT of the number.
- If that digit is 0, 1, 2, 3, or 4, you volition round down to the previous thousand (Round down)
- If that digit is five, 6, vii, 8, or 9, you will round up to the next thousand. (Round Up)
Some More than Examples
Let us round off these numbers to the nearest yard
ane. 62116 Number afterward rounding off to the nearest 100 62000
ii. 84345 Number after rounding off to the nearest 100 84300
3. 19562 Number afterwards rounding off to the nearest 100 20000
4. 10160 Number after rounding off to the nearest 100 10000
5. 45601 Number after rounding off to the nearest 100 46000
vi. 10945 Number subsequently rounding off to the nearest 100 10000
7. 2264 Number afterwards rounding off to the nearest 100 2000
viii. 1419 Number afterward rounding off to the nearest 100 1000
9. 22366 Number after rounding off to the nearest 100 22000
ten. 36258 Number after rounding off to the nearest 100 36000
A graphical representation of rounding off to the nearest chiliad has been presented below for meliorate understanding.
The diameter of the world at the equator is 12,756 kilometers. That's not an like shooting fish in a barrel number to recollect but if someone asked you what the judge distance was you could probably recollect that information technology'southward about 13,000 kilometers. You lot'd get that number by rounding to the nearest thousand. Below are ii other examples showing rounding to the nearest yard.
Notation: You can use this rounding figurer at the human foot of this page to round a number to the nearest ane,000.
Rule for rounding to the nearest grand
Look at the number in the hundred'south place and…
Review the examples below to see how to round to the nearest m.
Instance 1:
Case 2:
How to round to the nearest 1000
| Steps | Ex. 1 | Ex. ii | Ex. 3 | Ex. four |
| Let'due south circular a number to the nearest m. | 3,777 | 23,698 | 43,459 | 268 |
| Underline the hundred's place. | 3,777 | 23,698 | 43,459 | 268 |
| If information technology is less than v, round down. | 43,000 | 0 | ||
| If it is 5 or more, round up. | 4,000 | 24,000 | ||
| Pictorially |  |  |  |  |
Rounding Figurer
Rounding Calculator
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