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

Decimals

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

Simplify Decimals Involving Addition and Subtraction Decimals

Multiplying Decimal by a Decimal Number

Multiplying Decimal by a Whole Number

Dividing Decimal by a Whole Number

Dividing Decimal by a Decimal Number





7th Grade Math Problems

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