Rounding Decimals to the Nearest Tenths

Rules for rounding decimals to the nearest tenths:

To round a decimal analyse the digit at the hundredths place.

If the hundredths place value is 5 or more than 5, then the digit at the tenths place increases by 1 and the digits at the hundredths place and thereafter becomes zero.

For example;

(i) 6.05

In 6.05 analyse the digit at the hundredths place. Here 5 is equal to 5. Therefore we have to round the decimal number up to the nearest tenths 6.1

(ii) 17.273

In 17.273 analyse the digit at the hundredths place. Here 7 is more than 5. Therefore we have to round the decimal number up to the nearest tenths 17.3.

If the hundredths place value is less than 5, then the digit at the tenths place remains unchanged and the digits at the hundredths place and thereafter become zero.

For example;

(i) 11.21

In 11.21 analyse the digit at the hundredths place. Here 1 is less than 5. Therefore we have to round the decimal number down to the nearest tenths 11.2

(ii) 73.83

In 73.83 analyse the digit at the hundredths place. Here 3 is less than 5. Therefore we have to round the decimal number down to the nearest tenths 73.8

Worked-out examples on rounding decimals to the nearest tenths:

To round a decimal number to the nearest tenths follow the explanation step-by-step how to round up or round down the decimal to the nearest tenths.

Round off the following to the nearest tenths:

(a) 7.564

Solution:

Rounding off 7.564 to the nearest tenths, we observe the digit at the hundredths place value.

The digit at the hundredths place is 6 and 6 > 5.

The digit at the tenths place increases by 1 and the digits at the hundredths and thousandths place become 0 (rounded up).

Therefore, 7.564 rounded off to the nearest tenths as 7.6

(b) 11.04

Solution:

Rounding off 11.04 to the nearest tenths, we observe the digit at the hundredths place value.

The digit at the hundredths place is 4 and 4 < 5.

The digit at the tenths place remains unchanged and the digit at the hundredths place becomes zero (rounded down).

Therefore, 11.04 rounded off to the nearest tenths as 11.0 or 11

Related Concept

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Fraction as a Part of Collection | Pictures of Fraction | Fractional

Feb 24, 24 04:33 PM

How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

2. Fraction of a Whole Numbers | Fractional Number |Examples with Picture

Feb 24, 24 04:11 PM

Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…

3. Identification of the Parts of a Fraction | Fractional Numbers | Parts

Feb 24, 24 04:10 PM

We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

4. Numerator and Denominator of a Fraction | Numerator of the Fraction

Feb 24, 24 04:09 PM

What are the numerator and denominator of a fraction? We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line.