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.