Ordering Decimals

In ordering decimals we will learn how to compare two or more decimals.

(i) Convert each of them as like decimals.

(ii) Compare these decimals just as we compare two whole numbers ignoring decimal point.

1. Which is greater of 0.89 and 2.01?

Since whole number part 2 > whole number part 0

Therefore, 2.01 > 0.89

2. Arrange in increasing order: 4.91, 13.01, 12.1, 18.123, 13.9, 4.53

Largest decimal places are in 18.123 that is 3

Therefore, convert each of the decimal number into like decimals with 3 decimal places.

4.91 = 4.910 ....... 2

13.01 = 13.010 ....... 4

12.1 = 12.100 ....... 3

18.123 = 18.123 ....... 6

13.9 = 13.900 ....... 5

4.53 = 4.530 ....... 1

4. 53, 4.91, 12.1, 13.01, 13.9, 18.123

3. Write the decimal numbers in ascending order using < sign:

(i) 4.926, 18.324, 18.428, 18.528, 18.234

The given decimal numbers are like decimals with 3 decimal places.

To arrange the decimal numbers in ascending order, first check the whole number part of all the decimal numbers. We see 4 is the smallest whole number part so, 4.926 is the smallest decimal number.

The rest of the decimal numbers have the same whole number part i.e. 18. Now we will compare the decimal part of 18.324, 18.428, 18.528 and 18.234 just as we compare the whole numbers ignoring the decimal points.

Clearly, we see 234 < 324 < 428 < 528

i.e. 18.234 < 18.324 < 18.428 < 18.528

Therefore, 4.926 < 18.234 < 18.324 < 18.428 < 18.528

(ii) 72.09, 72.19, 72.91, 72.17, 72.81

The given decimal numbers are like decimals with 2 decimal places and they have the same whole number part i.e. 72.

Now we will compare the decimal part of 72.09, 72.19, 72.91, 72.17 and 72.81 just as we compare the whole numbers ignoring the decimal points.

Clearly, we see 09 < 17 < 19 < 81 < 91

Therefore, 72.09 < 72.17 < 72.19 < 72.81 < 72.91

(iii) 301.13, 301.03, 301.31, 301.30

Since the whole number part of all the decimal numbers are same here we need to compare the decimal part just as we compare the whole numbers ignoring the decimal points.

301.13, 301.03, 301.31, 301.30

Clearly, we see 03 < 13 < 30 < 31

Therefore, 301.03 < 301.13 < 301.30 < 301.31

(iv) 107.08, 107.81, 107.80, 107.88

These decimal numbers are like decimals with the same whole number part so we compare these decimals just as we compare the whole numbers ignoring decimal point.

107.08, 107.81, 107.80, 107.88

Clearly, we see 08 < 80 < 81 < 88

Therefore, 107.08< 107.80< 107.81 < 107.88

● Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Ordering Decimals

Comparison of Decimal Fractions.