Examples with solutions for Comparing Decimal Fractions: Write the suitable number

Exercise #1

What is the missing decimal number?

0.66 < ? < 0.67

Video Solution

Step-by-Step Solution

In order to discover our range of numbers, we will first add 0 to both numbers as follows:

0.66=0.660 0.66=0.660

0.67=0.670 0.67=0.670

This means our number will be in the range between 0.660 and 0.670.

The numbers that exist in this range are: 0.661 0.662 0.663 0.664 0.665 0.666 0.667 0.668, 0.669 0.661\text{ }0.662\text{ }0.663\text{ }0.664\text{ }0.665\text{ }0.666\text{ }0.667\text{ }0.668,\text{ }0.669 .

Now if we look at the possible answers and compare them to our number range, we can deduce that the answer is 0.665 as it appears in both.

Answer

0.665 0.665

Exercise #2

Fill in the compatible number:

0.45 < ? < 0.5

Video Solution

Step-by-Step Solution

Let's add 0 to the number 0.5 to reveal the range between the two numbers:

0.5=0.50 0.5=0.50

In other words, the number should be between 45 and 50

Therefore, the appropriate answer is 0.48

Answer

0.48 0.48

Exercise #3

What is the appropriate decimal number?

0.7 < ? < 0.8

Video Solution

Step-by-Step Solution

We will add 0 to the number 0.7 and to the number 0.8 to reveal the range between the two numbers:

0.7=0.70 0.7=0.70

0.8=0.80 0.8=0.80

In other words, the number should be between 70 and 80

Therefore, the appropriate answer is 0.75

Answer

0.75 0.75

Exercise #4

Fill in the missing value (?):

0.55 < ? < 0.57

Video Solution

Step-by-Step Solution

The range of numbers in which the missing number can be is between 0.55 and 0.57.

The only number that is between those numbers is 56.

Therefore, the correct answer is (d).

Answer

0.56 0.56

Exercise #5

Select the compatible number:

0.22 < ? < 0.25

Video Solution

Step-by-Step Solution

The range of numbers in which the missing number should be is between 22 and 25

The only number among the answers that falls within this range is 24

Therefore, the correct answer is 0.24

Answer

0.24 0.24

Exercise #6

What is the missing number?

0.47 < ? < 0.5

Video Solution

Step-by-Step Solution

To work out the range of numbers, we will add 0 to the number 0.5 as follows:

0.5=0.50 0.5=0.50

In other words, our number should be between 0.47 0.47 and 0.50 0.50 .

The numbers that exist within this range are 0.48 0.48 and 0.49 0.49 .

Looking at the options, we can see that the only possible answer is 0.48 0.48 .

Answer

0.48 0.48

Exercise #7

What is the missing number number?

0.2 < ? < 0.3

Video Solution

Step-by-Step Solution

To find out which numbers appear in our number range, we will first add 0 to both numbers as follows:

0.2=0.20 0.2=\text{0}.20

0.3=0.30 0.3=0.30

This means that our number is between 0.20 and 0.30.

The numbers existing in this range are: 0.21,0.22,0.23,0.24,0.25,0.26,0.27,0.28, 0.21,0.22,0.23,0.24,0.25,0.26,0.27,0.28, and 0.29 0.29 .

Looking at the possible answers, we can see that 0.28 must be the correct one.

Answer

0.28 0.28

Exercise #8

Fill in the missing number (?):

0.1 < ? < 0.2

Video Solution

Step-by-Step Solution

In order to discover our number range, we will first add 0 to both numbers as follows:

0.1=0.10 0.1=0.10

0.2=0.20 0.2=0.20

This means our number will be in the range of 0.10 to 0.20.

The numbers that exist in this range are: 0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19 0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19

Now if we look at the possible answers, we can see that 0.15 is within this range and therefore is the correct answer.

Answer

0.15 0.15

Exercise #9

Select a compatible number for the given range:

0.98 < ? < 1

Video Solution

Step-by-Step Solution

In order to discover our number range, we will first add zeros to the number 1 as follows:

1=0.100 1=0.100

This means our number will be in the range between 0.98 and 0.100

The numbers existing in this range are: 0.99 0.99

Therefore, this is the correct answer.

Answer

0.99 0.99

Exercise #10

Select a compatible number for the given range:

0.46 < ? < 0.49

Video Solution

Step-by-Step Solution

Let's look at our range of numbers and we'll see that our number is between 0.46 and 0.49

The numbers that exist in this range are: 0.47, 0.48 0.47,\text{ }0.48

Let's look at the answers and we'll see that 0.48 is within this range and therefore it is the correct answer

Answer

0.48 0.48