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

Exercise #1

What is the appropriate 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

We will look at the answers and see that 0.665 is within this range and therefore this is the correct answer

Answer

0.665 0.665

Exercise #2

What is the appropriate decimal 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

What is the appropriate decimal number?

0.55 < ? < 0.57

Video Solution

Step-by-Step Solution

The range of numbers in which the missing number should be is between 55 and 57

The number that is in between is 56

Therefore, the correct answer is 0.56

Answer

0.56 0.56

Exercise #5

What is the appropriate decimal 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 appropriate decimal number?

0.47 < ? < 0.5

Video Solution

Step-by-Step Solution

To discover 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 and 0.50

The numbers that exist in this range are: 0.48,0.49 0.48, 0.49

We will look at the answers and see that the number found in this range is 0.48

Answer

0.48 0.48

Exercise #7

What is the appropriate decimal number?

0.2 < ? < 0.3

Video Solution

Step-by-Step Solution

To see 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 our number is between 0.20 and 0.30

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

Looking at the answers, we can see that 0.28 is the correct answer.

Answer

0.28 0.28

Exercise #8

What is the appropriate decimal 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 between 0.10 and 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

We'll look at the answers and see that 0.15 is within this range, and therefore it is the correct answer

Answer

0.15 0.15

Exercise #9

What is the appropriate decimal number?

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

What is the appropriate decimal number?

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