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Rounding numbers calculator

Various examples of rounding

Number	Precision (decimal places)	Final value
0.111111	integer (0)	= 0
0.111111	to tenths (1)	= 0.1
0.111111	to hundredths (2)	= 0.11
0.111111	to thousandths (3)	= 0.111
0.123456	integer (0)	= 0
0.123456	to tenths (1)	= 0.1
0.123456	to hundredths (2)	= 0.12
0.123456	to thousandths (3)	= 0.123
0.555555	integer (0)	= 1
0.555555	to tenths (1)	= 0.6
0.555555	to hundredths (2)	= 0.56
0.555555	to thousandths (3)	= 0.556
0.999999	integer (0)	= 1
0.999999	to tenths (1)	= 1
0.999999	to hundredths (2)	= 1
0.999999	to thousandths (3)	= 1
111.1111	integer (0)	= 111
111.1111	to tenths (1)	= 111.1
111.1111	to hundredths (2)	= 111.11
111.1111	to thousandths (3)	= 111.111
123.4567	integer (0)	= 123
123.4567	to tenths (1)	= 123.5
123.4567	to hundredths (2)	= 123.46
123.4567	to thousandths (3)	= 123.457
444.4444	integer (0)	= 444
444.4444	to tenths (1)	= 444.4
444.4444	to hundredths (2)	= 444.44
444.4444	to thousandths (3)	= 444.444
555.5555	integer (0)	= 556
555.5555	to tenths (1)	= 555.6
555.5555	to hundredths (2)	= 555.56
555.5555	to thousandths (3)	= 555.556
999.9999	integer (0)	= 1000
999.9999	to tenths (1)	= 1000
999.9999	to hundredths (2)	= 1000
999.9999	to thousandths (3)	= 1000
-0.111111	integer (0)	= 0
-0.111111	to tenths (1)	= -0.1
-0.111111	to hundredths (2)	= -0.11
-0.111111	to thousandths (3)	= -0.111
-0.123456	integer (0)	= 0
-0.123456	to tenths (1)	= -0.1
-0.123456	to hundredths (2)	= -0.12
-0.123456	to thousandths (3)	= -0.123
-0.555555	integer (0)	= -1
-0.555555	to tenths (1)	= -0.6
-0.555555	to hundredths (2)	= -0.56
-0.555555	to thousandths (3)	= -0.556
-0.999999	integer (0)	= -1
-0.999999	to tenths (1)	= -1
-0.999999	to hundredths (2)	= -1
-0.999999	to thousandths (3)	= -1
-111.1111	integer (0)	= -111
-111.1111	to tenths (1)	= -111.1
-111.1111	to hundredths (2)	= -111.11
-111.1111	to thousandths (3)	= -111.111
-123.4567	integer (0)	= -123
-123.4567	to tenths (1)	= -123.5
-123.4567	to hundredths (2)	= -123.46
-123.4567	to thousandths (3)	= -123.457
-444.4444	integer (0)	= -444
-444.4444	to tenths (1)	= -444.4
-444.4444	to hundredths (2)	= -444.44
-444.4444	to thousandths (3)	= -444.444
-555.5555	integer (0)	= -556
-555.5555	to tenths (1)	= -555.6
-555.5555	to hundredths (2)	= -555.56
-555.5555	to thousandths (3)	= -555.556
-999.9999	integer (0)	= -1000
-999.9999	to tenths (1)	= -1000
-999.9999	to hundredths (2)	= -1000
-999.9999	to thousandths (3)	= -1000

Number	Precision (decimal places)	Final value
0.111111	integer (0)	= 0
0.111111	to ten (-1)	= 0
0.111111	to hundred (-2)	= 0
0.111111	to thousand (-3)	= 0
0.123456	integer (0)	= 0
0.123456	to ten (-1)	= 0
0.123456	to hundred (-2)	= 0
0.123456	to thousand (-3)	= 0
0.555555	integer (0)	= 1
0.555555	to ten (-1)	= 0
0.555555	to hundred (-2)	= 0
0.555555	to thousand (-3)	= 0
0.999999	integer (0)	= 1
0.999999	to ten (-1)	= 0
0.999999	to hundred (-2)	= 0
0.999999	to thousand (-3)	= 0
111.1111	integer (0)	= 111
111.1111	to ten (-1)	= 110
111.1111	to hundred (-2)	= 100
111.1111	to thousand (-3)	= 0
123.4567	integer (0)	= 123
123.4567	to ten (-1)	= 120
123.4567	to hundred (-2)	= 100
123.4567	to thousand (-3)	= 0
444.4444	integer (0)	= 444
444.4444	to ten (-1)	= 440
444.4444	to hundred (-2)	= 400
444.4444	to thousand (-3)	= 0
555.5555	integer (0)	= 556
555.5555	to ten (-1)	= 560
555.5555	to hundred (-2)	= 600
555.5555	to thousand (-3)	= 1000
999.9999	integer (0)	= 1000
999.9999	to ten (-1)	= 1000
999.9999	to hundred (-2)	= 1000
999.9999	to thousand (-3)	= 1000
-0.111111	integer (0)	= 0
-0.111111	to ten (-1)	= 0
-0.111111	to hundred (-2)	= 0
-0.111111	to thousand (-3)	= 0
-0.123456	integer (0)	= 0
-0.123456	to ten (-1)	= 0
-0.123456	to hundred (-2)	= 0
-0.123456	to thousand (-3)	= 0
-0.555555	integer (0)	= -1
-0.555555	to ten (-1)	= 0
-0.555555	to hundred (-2)	= 0
-0.555555	to thousand (-3)	= 0
-0.999999	integer (0)	= -1
-0.999999	to ten (-1)	= 0
-0.999999	to hundred (-2)	= 0
-0.999999	to thousand (-3)	= 0
-111.1111	integer (0)	= -111
-111.1111	to ten (-1)	= -110
-111.1111	to hundred (-2)	= -100
-111.1111	to thousand (-3)	= 0
-123.4567	integer (0)	= -123
-123.4567	to ten (-1)	= -120
-123.4567	to hundred (-2)	= -100
-123.4567	to thousand (-3)	= 0
-444.4444	integer (0)	= -444
-444.4444	to ten (-1)	= -440
-444.4444	to hundred (-2)	= -400
-444.4444	to thousand (-3)	= 0
-555.5555	integer (0)	= -556
-555.5555	to ten (-1)	= -560
-555.5555	to hundred (-2)	= -600
-555.5555	to thousand (-3)	= -1000
-999.9999	integer (0)	= -1000
-999.9999	to ten (-1)	= -1000
-999.9999	to hundred (-2)	= -1000
-999.9999	to thousand (-3)	= -1000

Guest: 2019-05-13 09:57:36

How to round to the nearest thousand:

Let's take the number 9999. The first step is to identify the thousands digit. Obviously, it is 9 in 9999. Next step is to identify the next smallest place value. Of course, it is 9 in 9999.
We see, that it is greater than 5. So we will round to bigger number. We need to increase the digit of thousand by one. It becomes ten, and again. So the number after rounding will become 10000.

How to round to the nearest hundred:
Now we will analyze number 123. Needed digit is 1. Next digit is 2 and it is less than 5. So we need to leave digit of hundreds as it is. Next digits are converted to zeros. So we will get 100.

How to round to the nearest tenth:
Rounding 0.899 to the nearest tenth would give 0.9. If the hundredths and thousandths places are fifty or more, the tenths place is increased by one.
The decimal 0.849 will be rounded to 0.8. The decimal 0.851 will be rounded to 0.9.

How to round to the integer:
Let's take 123.321 now. First fraction number is less than five. So we simply remove fraction part and that is all. The final number is 123.

More:
About.com - About rounding numbers

Assistant: 2021-02-14 05:28:30

About giant numbers

The giant number consists of six zeros, and it is called a million. You should know that practically working with big numbers there are some inaccuracies in all calculations. So you need to know how to round numbers rightly.

So, have you ever wondered what a million is? Undoubtedly, it’s a very important number which is used in population calculations, to describe riches, in a lottery and so on. Is there anybody who does not dream of winning a million? If you start counting to a million in a row, you will probably fail. For example, if you remember maths lessons, nobody did such a thing in general. There is a question, why? I am going to give an answer about that later.

Let's imagine one million students? Is it insurmountable? It is obvious, the population of many countries exceeds millions! How to put the meaning into our brains? Undoubtedly that a billion is also well known for you too. Is it possible to imagine this enormous number? All we know that is an even more complicated matter to count and comprehend.

It seems to me that the giant numbers are strangers for you but well known too.

You will be able to understand the strength, and greatness of these numbers if you analyze a million and a billion from new perspectives.

A million

1. Let's imagine, that you need to find a note inside a book. It is a very thick one. To achieve the result, you need to search for 1000000 pages. It is extremely related to text translation services in all schools, colleges, universities libraries. How long would it take to turn 80 pages every minute and work 6 hours every day? Let's count together. You are able to flip 4800 pages in one hour. Your abilities are 28800 pages in 6 hours. Now, dividing 1000000 pages by 28800 pages, you will need to work almost 35 days.

Therefore you never tried to solve such a problem because it takes too much time to do it. It would be extremely hard work for a single person. Nevertheless, it is easy to confuse yourself and you can round numbers wrongly.

2. And how long would it take you to read a book which consists of 1000000 pages. All we know the speed of reading, which is one page in 6 minutes. Let's calculate. It is clear that when reading every day without a break for 8 hours and having a rest only at weekends. Let's round results. You would perform the reading 1000000 pages task in 40 years!

3. Have you ever met 1000000 students? Is it possible to do that? For better understanding, it would be advisable to calculate how long it will take to travel for such a purpose. Let it be a line of 1000000 students. For each pair is allocated approximately one meter. The line will stretch more than half a thousand kilometers!

4. Now let's calculate the thickness of a book of 1000000 pages. Everyone can check that thickness of a 100-page book is about 1 centimeter. If you want to read the first page of such a book, you would have to reach the top of the Eiffel tower.

A billion

A million looks like a dwarf compared to an enormous number such as a billion. If you start counting from 1 to 1000000000 consistently from the age of 10 and do it 6 hours daily, you will probably finish when your age will be 100 years.

A billion is not a simple monster, but a giant of giants. Now let's think about time. So, a minute is a very small time interval. A billion minutes is more than 19 centuries. Calculating such amount of minutes from zero year, you can reach the 20th century.

Let's take a smaller amount of time - a second. Comparing this unit to an hour, it seems like a small moment to you. But a billion seconds is equal to about 32 years. An example from ordinary life below will explain that more in detail.

5. In all the world there were published fewer than a billion books on the whole. Exactly it is 1/5 of a billion. Nevertheless, if we add all newspapers and magazines it would probably reach one billion. Imagine that each book has one hundred pages. How long could the shelf be if you want to place all of them? It is estimated that you will need more than 100 km of shelves. A car is needed to travel from the start point to the end of the shelves. It would take approximately one hour to achieve the goal. And how long would it take to walk this distance on foot? The maximum walking speed is 5 km per hour. It is to calculate for you.

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