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

Choose the missing sign:

103.22 [?] 103.221 103.22~[?]~103.221

Video Solution

Step-by-Step Solution

Let's compare the numbers in the following way:

We'll add 0 to the number 103.22 as follows:

103.220?103.221 103.220\text{?}103.221

Let's note that before the decimal point, both numbers start with 103

After the decimal point, there are the numbers 2 and 2

The different numbers are the last ones: 0 versus 1

Since 1 is greater than 0, the appropriate sign is:

103.220 < 103.221

Answer

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Exercise #3

Determine the appropriate sign (?) according to the number line:

0.655?0.55 0.655?0.55

0.550.550.550000.50.50.5111

Video Solution

Step-by-Step Solution

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 thusly:

0.55=0.550 0.55=0.550

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

0.655>0.550

Answer

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Exercise #4

Determine the appropriate sign according to the number line:

1.651.651.650001110.40.40.42221.3?1.02 1.3?1.02

Video Solution

Step-by-Step Solution

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 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

Answer

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Exercise #5

Determine the appropriate sign according to the number line:

0.840.840.840001110.40.40.40.48?0.84 0.48?0.84

Video Solution

Step-by-Step Solution

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

0.48<0.84

Answer

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Exercise #6

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 #7

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 #8

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 #9

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 #10

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

Exercise #11

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 #12

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 #13

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

0.3 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 #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 denominator:

\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:

0.3 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 #16

Which decimal number is greater?

Video Solution

Step-by-Step Solution

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

0.5 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 #17

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 #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:

0.28 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 #19

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 #20

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