Comparing Decimal Fractions - Examples, Exercises and Solutions

Let's convert the decimal numbers into simple fractions and compare them:

0.24 is divided by 100 because there are two digits after the decimal point, therefore:

$0.24=\frac{24}{100}$

0.25 is divided by 100 because there are two digits after the decimal point, therefore:

$0.25=\frac{25}{100}$

Let's now compare the numbers in the numerator:

\frac{25}{100}>\frac{24}{100}

Therefore, the larger number is 0.25.

We will add 0 to the number 0.1 in the following way:

$0.1=0.10$

And we will discover that the numbers are indeed identical

We will add 0 to the number 0.8 in the following way:

$0.8=0.80$

And we will discover that the numbers are not identical

We will add 0 to the number 0.5 in the following way:

$0.5=0.50$

And we will discover that the numbers are not identical

We will add 0 to the number 0.25 in the following way:

$0.25=0.250$

And we will discover that the numbers are identical

Let's observe the numbers after the decimal point.

Due to the fact that 23 and 32 are not identical, the numbers cannot be considered as the same number.

We will add 0 to the number 0.6 in the following way:

$0.6=0.60$

And we will discover that the numbers are identical

We will add 0 to the number 0.5 in the following way:

$0.5=0.50$

And we will discover that the numbers are identical

We will add 0 to the number 0.2 in the following way:

$0.2=0.20$

And we will discover that the numbers are not identical

We will add 0 to the number 0.02 in the following way:

$0.02=0.020$

And we will discover that the numbers are not identical

Just as the number 45 is not equal to 445, nor is the number 0.45 equal to 0.445—even though their values are relatively close.

This can be seen more clearly in the form of a regular fraction:

45/100 is not equal to 445/1000

Let's first convert the decimal numbers into simple fractions and compare them:

0.3 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.3=\frac{3}{10}$

0.33 is divided by 100 because there are two digits after the decimal point, therefore:

$0.33=\frac{33}{100}$

Let's now compare the numbers in the denominator:

\frac{33}{100} > \frac{3}{10}

Therefore, the larger number is 0.33.

Let's first convert the decimal numbers into simple fractions and compare them:

0.2 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.2=\frac{2}{10}$

0.25 is divided by 100 because there are two digits after the decimal point, therefore:

$0.25=\frac{25}{100}$

Let's now compare the numbers in the denominators:

\frac{25}{100}>\frac{2}{10}

Therefore, the greater number is 0.25.

Let's first convert the decimal numbers into simple fractions and compare them:

0.5 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.5=\frac{5}{10}$

0.4 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.4=\frac{4}{10}$

Let's then compare the numbers in the numerator:

\frac{5}{10}>\frac{4}{10}

Therefore, the larger number is 0.5.

Let's convert the two numbers to fractions -

19/100

20/100

It's clear to us that 20 is greater than 19, and by the same logic, 0.2 is greater than 0.19, even though it might appear smaller to us because it has fewer digits.