Exercises: comparing decimal numbers

Here you will find exercises to train the comparison of decimal numbers! Repeat important basics and deepen your knowledge!

1
Compare the following decimal numbers and find out, if the first term is smaller ( $<$ ), equal to ( $=$ ) or larger than ( $>$ ) the first term.
3.60 and 3.61
$>$
$<$
$=$

For this task you need the following basic knowledge: Comparing decimal numbers
Compare 3.60 and 3.61.
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 number 3.61 is larger than 3.60.

0.5 and 0.23
$>$
$<$
$=$

For this task you need the following basic knowledge: Comparing decimal numbers
Compare 0.5 and 0.23.
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 number 0.5 is greater than 0.23.

2.7 and 2.70
$>$
$<$
$=$

For this task you need the following basic knowledge: Comparing decimal numbers
Compare 2.7 and 2.70.
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
$>$
$<$
$=$

For this task you need the following basic knowledge: Comparing decimal numbers
Compare 0.08 and 0.1.
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 number 0.1 is greater than 0.08.
2
Which decimal numbers are marked by the question marks?
Which number is larger?

You can start from 3 and add a 0.1 for each tick you jump to the right.
Or you start from 4 and subtract a 0.1 for each tick you jump to the left.
$x = 3.4$
$y = 3.9$

Which number is larger?

For this task you need the following basic knowledge: Decimal Numbers
On the number line, the piece between $0.1$ and $0.2$ is divided into $10$ sections.
Calculate the distance between $0.1$ and $0.2$ (as in part a)).
$0.2 - 0.1 = 0.1$
Divide the number $0.1$ into 10 parts.
$0.1 : 10 = \frac{1}{100} = 0.01$
Each section therefore corresponds to $0.01$ .
First number:
Count off at which section the left-hand decimal number is located.
The left-hand number is behind the second section:
$0.1 + 2 \cdot 0.01 = 0.12$
In other words, you had to add 2 hundredths to the number $0.1$ .
Second number:
Count off at which section the right-hand decimal number is located.
The right-hand number is behind the seventh section.
$0.1 + 7 \cdot 0.01 = 0.17$
In other words, you had to add 7 hundredths to the number $0.1$ .
You can see from the number line or by comparing the decimal numbers that the second number is greater than the first one. So, $0.12 < 0.17$