Compare the following decimal fractions and figure out which one is greater.

3.60 and 3.61

Compare 3.60 and 3.61

Organize the number in ones (**O**), tenths (**t**) and hundredths (**h**).

3.60: 3 **O** 6 **t** 0 **h**

3.61: 3 **O** 6 **t** 1 **h**

First compare the integers before the decimal mark.

3 **O** = 3 **O**

Since both numbers are equal, you then need to compare the tenths.

6 **t** = 6 **t**

Since both numbers are equal, you now need to compare the hundredths.

0 **h** < 1 **h**

Since 0 < 1, the decimal fraction 3.61 is larger than 3.60.

0.5 and 0.23

Compare 0.5 and 0.23.

Organize the number in ones (**O**), tenths (**t**) and hundredths (**h**).

0.5: 0 **O** 5 **t** 0 **h**

0.23: 0 **O** 2 **t** 3 **h**

First compare the integers before the decimal mark.

0 **O** = 0 **O**

Since both numbers are equal, you now need to compare the tenths.

5 **t** < 2 **t**

You now know which number is greater - you do not need to compare the hundredths anymore.

Since 5 is greater than 2, the decimal fraction 0.5 is greater than 0.23.

2.7 and 2.70

Compare 2.7 and 2.70.

Organize the number in ones (O), tenths (t) and hundredths (h).

2.7: 2 **O** 7 **t** 0 **h**

2.70: 2 **O** 7 **t** 0 **h**

Both numbers are equal. Zeros at the end of a number do not change its value.

0.08 and 0.1

Compare 0.08 and 0.1.

Organize the number in ones (**O**), tenths (**t**) and hundredths (**h**).

0.08: 0 **O** 0 **t** 8 **h**

0.1: 0 **O** 1 **t** 0 **h**

First compare the integers before the decimal mark.

0 **O** = 0 **O**

Since both numbers are equal, you now need to compare the tenths.

0 **t** < 1 **t**

You now know which number is greater - you do not need to compare the hundredths anymore.

0 is smaller than 1. Therefore the decimal fraction 0.1 is greater than 0.08.