Comparing Decimal Fractions: Using the number line

First let's look at the number 0.55.

We'll add 0.1 to it in order to get 0.655.

This can be written as follows:

$0.55=0.550$

Looking at the numbers after the decimal point, we can observe that:

$0.655>0.550$

Let's look at the number 1.3

We'll add 0 to it in order to equate with 1.02

That is:

$1.3=1.02$

Since both numbers start with 1, we'll focus on the numbers after the decimal point and discover that:

$1.30>1.02$

Let's compare the numbers after the decimal point since 48 is less than 84, we find that:

$0.48<0.84$

Let's first look at the number 0.5.

We can add a 0 on the end in order to better compare it to 0.07:

$0.5=0.50$

Now, if we examine the numbers after the decimal point, we discover that:

$0.50>0.07$

Let's first look at the number 0.3.

We will add a 0 on the end so we can better compare it to 0.12:

$0.3=0.30$

Now, if we look at the numbers after the decimal point, we can observe that:

$0.12<0.30$

First, let's observe the number 0.7.

We'll add a 0 on the end of it to better compare it to 0.69:

$0.7=0.70$

Now, if we look at the numbers after the decimal point, we can observe that:

$0.69<0.70$

Let's look at the number 0.08

This number is located on the number line in the range between 0 and 0.1

In other words, the numbers in this range are:

$0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09$

Therefore, the one that is larger is 0.3

$0.3>0.08$

Let's look at the number 0.03

This number is located on the number line between 0 and 0.1

In other words, the numbers in this range are:

$0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09$

Therefore, the larger one is 0.3

$0.3 > 0.03$

Let's compare the two numbers after the decimal point, which are 12 versus 10

Therefore:

$0.12>0.10$

Let's look at the number 1

We will write it as a decimal fraction in the following way:

$1=1.00$

Now let's consider the numbers and we'll see that since the number before the decimal point is 0 and the second number is 1, we can conclude that:

$0.88<1.00$

Let's look at the number 0.500

Since the zeros after the tenths digit are not relevant, we can argue that:

$0.500=0.5$

Therefore, if we compare the two numbers, we will find that they are equal and it's the same number:

$0.5=0.5$