Examples with solutions for Comparing Decimal Fractions: Identify the greater value

Exercise #1

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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=24100 0.24=\frac{24}{100}

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

0.25=25100 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.

Answer

0.25 0.25

Exercise #2

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.5=510 0.5=\frac{5}{10}

0.55 is divided by 100 because there are two numbers after the decimal point, therefore:

0.55=55100 0.55=\frac{55}{100}

Let's now compare the numbers:

\frac{55}{100}>\frac{5}{10}

Therefore, the larger number is 0.55.

Answer

0.55 0.55

Exercise #3

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.25=25100 0.25=\frac{25}{100}

0.26 is divided by 100 because there are two digits after the decimal point, so:

0.26=26100 0.26=\frac{26}{100}

Now let's compare the numbers in the numerator:

\frac{26}{100}>\frac{25}{100}

Therefore, the larger number is 0.26.

Answer

0.26 0.26

Exercise #4

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.45=45100 0.45=\frac{45}{100}

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

0.35=35100 0.35=\frac{35}{100}

Let's now compare the numbers in the numerator:

\frac{45}{100}>\frac{35}{100}

Therefore, the larger number is 0.45.

Answer

0.45 0.45

Exercise #5

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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=310 0.3=\frac{3}{10}

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

0.5=510 0.5=\frac{5}{10}

Let's now compare the numbers in the denominator:

\frac{5}{10}>\frac{3}{10}

Therefore, the larger number is 0.5.

Answer

0.5 0.5

Exercise #6

Which decimal number is greater?

Video Solution

Step-by-Step Solution

Let's 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=310 0.3=\frac{3}{10}

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

0.29=29100 0.29=\frac{29}{100}

Let's now compare the numbers in the denominator to determine our answer:

\frac{29}{100}>\frac{3}{10}

Therefore, the larger number is 0.29.

Answer

0.3 0.3

Exercise #7

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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=310 0.3=\frac{3}{10}

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

0.33=33100 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.

Answer

0.33 \text{0}.33

Exercise #8

Which number is greater?

Video Solution

Step-by-Step Solution

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=210 0.2=\frac{2}{10}

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

0.25=25100 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.

Answer

0.25 0.25

Exercise #9

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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=510 0.5=\frac{5}{10}

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

0.4=410 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.

Answer

0.5 0.5

Exercise #10

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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.

Answer

0.2 0.2

Exercise #11

Which decimal number is greater?

Video Solution

Step-by-Step Solution

Firstly, let's convert the decimal numbers into simple fractions and compare them:

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

0.33=33100 0.33=\frac{33}{100}

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

0.34=34100 0.34=\frac{34}{100}

Then we can compare the numbers in the numerator:

\frac{34}{100}>\frac{33}{100}

Therefore, the larger number is 0.34.

Answer

0.34

Exercise #12

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.68=68100 0.68=\frac{68}{100}

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

0.88=88100 0.88=\frac{88}{100}

Now let's compare the numbers in the numerator:

\frac{88}{100}>\frac{68}{100}

Therefore, the larger number is 0.88.

Answer

0.88 0.88

Exercise #13

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.25=25100 0.25=\frac{25}{100}

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

0.33=33100 0.33=\frac{33}{100}

Now let's compare the numbers in the numerator:

\frac{33}{100}>\frac{25}{100}

Therefore, the larger number is 0.33.

Answer

0.33 0.33

Exercise #14

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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=210 0.2=\frac{2}{10}

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

0.25=25100 0.25=\frac{25}{100}

Let's finally compare the fractions:

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

Therefore, the larger number is 0.25.

Answer

0.25 0.25

Exercise #15

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.77=77100 0.77=\frac{77}{100}

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

0.7=710 0.7=\frac{7}{10}

Let's compare the numbers in the numerator:

\frac{77}{100}>\frac{7}{10}

Therefore, the larger number is 0.77.

Answer

0.77 0.77

Exercise #16

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.25=25100 0.25=\frac{25}{100}

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

0.3=310 0.3=\frac{3}{10}

Now we can compare the numbers in the numerator:

\frac{25}{100}<\frac{3}{10}

Therefore, the larger number is 0.3.

Answer

0.3 0.3

Exercise #17

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.28=28100 0.28=\frac{28}{100}

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

0.3=310 0.3=\frac{3}{10}

Let's now compare the numbers in the denominator:

\frac{28}{100}>\frac{3}{10}

Therefore, the larger number is 0.28.

Answer

0.3 0.3

Exercise #18

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.5=510 0.5=\frac{5}{10}

0.49 is divided by 100 because there are two numbers after the decimal point, therefore:

0.49=49100 0.49=\frac{49}{100}

Let's now compare our numbers:

\frac{49}{100}>\frac{5}{10}

Therefore, the larger number is 0.49.

Answer

0.5 0.5

Exercise #19

Which decimal number is greater?

Video Solution

Step-by-Step Solution

Firstly, let's convert the decimal numbers into simple fractions and compare them:

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

0.32=32100 0.32=\frac{32}{100}

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

0.33=33100 0.33=\frac{33}{100}

Now let's compare the numbers in the numerator:

\frac{33}{100}>\frac{32}{100}

Therefore, the larger number is 0.33.

Answer

0.33 0.33

Exercise #20

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

0.15=15100 0.15=\frac{15}{100}

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

0.2=210 0.2=\frac{2}{10}

Let's finally compare the numbers in the denominator to determine our answer:

\frac{15}{100}>\frac{2}{10}

Therefore, the larger number is 0.15.

Answer

0.2 0.2