What is Rounding Decimals? Definition, Examples, Facts (2024)

FAQs

What is Rounding Decimals? Definition, Examples, Facts? ›

Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy. We can round decimals to the nearest wholes, tenths or hundredths. Rounding decimals is useful to estimate an answer easily and quickly. It is also useful to find out the estimate of the average score of the students in a class.

Explain the Steps of Rounding Off

The general rule for rounding is as follows: If the number you're rounding has a 5, 6, 7, 8, or 9 after it, round it up. Example: 28 rounded to the nearest tens place equals 30. If the number you're rounding has a 0, 1, 2, 3, or 4 after it, round it down.

Round off to estimate the closest whole number in a decimal value. The nearest decimal point should also be evaluated to round off a whole number. Rounding off decimals up to the second decimal place means rounding off the nearest hundredths.

For example, if you needed to round the example number from earlier (12.9889) to the nearest whole number, you'd start by looking at the ones place: 12. 9889. Since the "9" to the right is greater than 5, you would round up to 13. Since you've gotten a whole number answer, you don't need the decimal point any more.

Rounding numbers is a way of simplifying a number to make it easier to work with, especially when doing mental math. When rounding to the tens place, if the number in the ones place is 4 or below, you round down. If the number in the ones place is 5 or higher, you round up.

Rounding or rounding off means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. For example, replacing $23.4476 with $23.45, the fraction 312/937 with 1/3, or the expression √2 with 1.414.

the process of replacing a number by another number of approximately the same value but having fewer digits.

The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number. Here, 34 is a whole number part and 5 is the fractional part. “.” is the decimal point.

Four or less let is rest and Five or more let it soar are great rounding rhymes to help students remember the rules for rounding.

Identify the place value to round

Figure out to which place value you want to round your decimal. If you're computing decimals for the purpose of combining prices, for instance, rounding to the nearest hundredth-place value is most appropriate.

How does rounding decimals work? ›

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.

To show students this, use an example like this: to round 47 to the nearest ten, write a number line on the board or screen. Show students that there are 4 tens so that means 40 will be the first number on the number line. Ask kids what the next ten is. They should respond with 50.

Rounding to one decimal place means you will round the value of a number limited to one decimal place after an integer number. Let us consider a few numbers here for example. 1.24 is rounded to 1.2. 1.25 is rounded to 1.3.

By convention, a fractional part of exactly 0.5 is rounded up. We need a convention, because a number with fractional part 0.5 lies exactly between two whole numbers, so there is no 'closest' number to round to.

Understanding the Decimal Place Value Chart

For example, the number 0.46 is made up of 4 tenths and 6 hundredths. This can also be written as 0.46 = 0.4 + 0.06 . In other words, it means, 0.46 = 4 / 10 + 6 / 100 .