Round a Decimal

We will follow the rules to round a decimal number to the nearest whole number, tenths, hundredths and thousandths.

Follow the rules for rounding off decimals one by one.

Rules to round a decimal number to the nearest whole number.

Rules to round a decimal number to the nearest tenths.

Rules to round a decimal number to the nearest hundredths.


Worked-out problems on round off decimal number:

To round a decimal number to the nearest whole number, tenths, hundredths, thousandths and so on...... follow the explanation step-by-step how to round up or round down the decimal to the nearest hundredths.

Round off the following decimals.

(a) 52.6583 correct up to 2 places of decimal.

Solution:

52.6583

Rounding off 52.6583 correct up to 2 places of decimal means rounding off to the nearest hundredths

In 52.6583 we observe the digit at the thousandths place value and round off 52.6583 correct up to 2 places of decimal.

The digit at the thousandths place is 8 and 8 > 5.

The digit at the hundredths place increases by 1 and the digit at the thousandths place becomes 0.

Therefore, 52.6583 is rounded off as 52.66


(b) 103.06 correct up to 1 place of decimal.

Solution:

103.06

Rounding off 103.06 correct up to 1 places of decimal means rounding off to the nearest tenths

In 103.06 we observe the digit at the hundredths place value and round off 103.06 correct up to 1 place of decimal.

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

The digit at the tenths place increases by 1 and the digit at the hundredths place becomes 0.

Therefore, 103.06 is rounded off as 103.1


(c) 189.0072 correct up to 3 places of decimal.

Solution:

189.0072

Rounding off 189.0072 correct up to 3 places of decimal means rounding off to the nearest thousandths

In 189.0072 we observe the digit at the ten thousandths place value and round off 189.0072 correct up to 3 places of decimal.

The digit at the ten thousandths place is 2 and 2 < 5.

The digit at the thousandths place remains unchanged and the digit at the ten thousandths place becomes 0 (rounded down).

Therefore, 189.0072 is rounded off as 189.007

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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