Decimal Fractions' Meaning - Examples, Exercises and Solutions

Question Types:
Decimal Fractions' Meaning: Comparing decimal fractionsDecimal Fractions' Meaning: Completing the sequenceDecimal Fractions' Meaning: Graphical representationDecimal Fractions' Meaning: Identify Numbers on a Number LineDecimal Fractions' Meaning: Place on the axisDecimal Fractions' Meaning: What is the number of....

The decimal number is a way to represent a simple fraction or a number that is not whole.
The decimal point (or decimal comma in some areas) divides the number in the following way:

A1 - Meaning of the decimal number

For example, when checking a fever, on the thermometer there is a number like 37.537.5 or 36.436.4.

The point that separates the figures is the decimal point, therefore, the number in question is a decimal number.
When we weigh ourselves, we step on the scale and, also in this case, the very same decimal number appears!
The weight is shown with the decimal point and expresses, in a clear and simple way, a number that is not whole.

Detailed explanation

Practice Decimal Fractions' Meaning

Question 1

Plot the number \( 1.4 \) on the number line below:

0.20.20.21111.81.81.8

Question 2

Determine the number of hundredths in the following number:

0.96

Question 3

Determine the number of tenths in the following number:

0.96

Question 4

Determine the number of ones in the following number:

0.73

Question 5

Determine the number of ones in the following number:

0.81

Examples with solutions for Decimal Fractions' Meaning

Exercise #1

Plot the number 1.4 1.4 on the number line below:

0.20.20.21111.81.81.8

Video Solution

Step-by-Step Solution

The number line forms a kind of track, on which there are lines (marks), each representing a number in ascending order,

The numbers go from left to right, meaning on the left side there is always a smaller number, and on the right a larger one.

The spaces between the marks are always fixed, so if we count the "steps" between the numbers we know,

for example between 0.2 and 1, we can see that it's four steps, meaning between each line there is a jump of 0.2.

The question we are being asked is where on the line is 1.4, therefore, we can start from the line that represents the number 1,

and move from it enough steps until we reach 1.4. In this case, it's two steps.

Answer

0.20.20.21111.81.81.81.41.41.4

Exercise #2

Determine the number of hundredths in the following number:

0.96

Video Solution

Answer

6

Exercise #3

Determine the number of tenths in the following number:

0.96

Video Solution

Answer

9

Exercise #4

Determine the number of ones in the following number:

0.73

Video Solution

Answer

0

Exercise #5

Determine the number of ones in the following number:

0.81

Video Solution

Answer

0

Question 1

Determine the number of tenths in the following number:

1.3

Question 2

Determine the number of ones in the following number:

0.4

Question 3

Determine the number of ones in the following number:

0.07

Question 4

Number of ones: 1

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

Question 5

Number of ones: 3

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

Exercise #6

Determine the number of tenths in the following number:

1.3

Video Solution

Answer

3

Exercise #7

Determine the number of ones in the following number:

0.4

Video Solution

Answer

0

Exercise #8

Determine the number of ones in the following number:

0.07

Video Solution

Answer

0

Exercise #9

Number of ones: 1

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

Video Solution

Answer

131

Exercise #10

Number of ones: 3

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

Video Solution

Answer

123

Question 1

Number of ones: 9

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

Question 2

Number of ones: 9

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the above place values:

Question 3

Number of ones: 2

Number of tens: 3

Number of hundreds: 7

Determine the correct number according to the given place values:

Question 4

Number of ones: 6

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

Question 5

Number of ones: 6

Number of tens: 3

Number of hundreds: 9

Determine the correct number according to the above place values:

Exercise #11

Number of ones: 9

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

Video Solution

Answer

129

Exercise #12

Number of ones: 9

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the above place values:

Video Solution

Answer

139

Exercise #13

Number of ones: 2

Number of tens: 3

Number of hundreds: 7

Determine the correct number according to the given place values:

Video Solution

Answer

732

Exercise #14

Number of ones: 6

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

Video Solution

Answer

136

Exercise #15

Number of ones: 6

Number of tens: 3

Number of hundreds: 9

Determine the correct number according to the above place values:

Video Solution

Answer

936

Topics learned in later sections

  1. Decimal Fractions
  2. Reducing and Expanding Decimal Numbers
  3. Converting a Decimal Fraction to a Mixed Number
  4. Converting a simple fraction to decimal - how to calculate?
  5. Addition and Subtraction of Decimal Numbers
  6. Comparison of Decimal Numbers
  7. Converting Decimals to Fractions