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

3.60 and 3.61

### Comparing decimal fractions

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

### Comparing decimal fractions

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

### Comparing decimal fractions

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

### Comparing decimal fractions

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.