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 to simple fractions and compare them:

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

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

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

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

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

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

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

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

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

Let's compare the numbers we found:

\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 to 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}

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 convert the decimal numbers to simple fractions and compare them:

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

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

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

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

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

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

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

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

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

Let's 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 to simple fractions and compare them:

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

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

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

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

Let's compare the numbers in the eighths:

\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 convert the decimal numbers to simple fractions and compare them:

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

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

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

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

Let's 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 decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

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

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

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

Let's compare the numbers in the denominator:

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

Therefore, the larger number is 0.25

Answer

0.25 0.25

Exercise #9

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

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

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

0.4=410 0.4=\frac{4}{10}

Let's 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

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

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

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

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

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

Let's 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

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

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

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

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

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

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 to 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}

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

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

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 convert the decimal numbers to simple fractions and compare them:

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

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

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

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

Let's compare the numbers in the eighths:

\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 convert the decimal numbers to simple fractions and compare them:

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

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

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

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

Let's convert the decimal numbers to 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}

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

0.3=3100 0.3=\frac{3}{100}

Let's compare the numbers in the numerator:

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

Therefore, the larger number is 0.25

Answer

0.3 0.3

Exercise #17

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

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

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

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

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

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

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

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

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

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

Let's compare the numbers we found:

\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

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

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

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

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

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

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 to simple fractions and compare them:

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

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

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

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

Let's compare the numbers in the denominator:

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

Therefore, the larger number is 0.15

Answer

0.2 0.2