Decimal Fractions - Advanced - Examples, Exercises and Solutions

Understanding Decimal Fractions - Advanced

Complete explanation with examples

Decimal Numbers

Meaning of the Decimal Number

The decimal number represents, through the decimal point (or comma in certain countries), a simple fraction or a number that is not whole.
The decimal point divides the number in the following way:

A - Decimal number

You can read more in the assigned extended article


Detailed explanation

Practice Decimal Fractions - Advanced

Test your knowledge with 79 quizzes

Which figure represents 0.1?

Examples with solutions for Decimal Fractions - Advanced

Step-by-step solutions included
Exercise #1

Determine whether the exercise is correctly written or not.

True or false:

The positions of the decimal points correspond.

21.52+3.4

Step-by-Step Solution

First let's fill in the zeros in the empty spaces as follows:

21.52+03.40 21.52\\+03.40\\ Note that the decimal points are written one below the other.

Therefore, the positions of the decimal points correspond and thus the exercise is written in the correct form.

Answer:

True

Video Solution
Exercise #2

Determine whether the exercise is written correctly:

Is the position of the decimal point correct in each number?

6.31+216.222

Step-by-Step Solution

First let's fill the zeros in the empty space as follows:

006.310+216.222  006.310\\+216.222\\\

Here We should note that the decimal points are written one below the other.

Therefore, the exercise is written in the appropriate form.

Answer:

Yes

Video Solution
Exercise #3

5.72.3= 5.7-2.3= ?

Step-by-Step Solution

Let's solve the problem step by step:

  • Step 1: Align the numbers by their decimal points:
    5.72.3\begin{array}{c} 5.7 \\ - 2.3 \\ \hline \end{array}
  • Step 2: Subtract the digits in the tenths place 73=47 - 3 = 4.
  • Step 3: Subtract the digits in the units place 52=35 - 2 = 3.
  • Step 4: Write down the result by combining both differences, making sure to keep the decimal point aligned: 3.43.4.

Therefore, the solution to the problem is 3.4 3.4 .

Answer:

3.4

Video Solution
Exercise #4

Determine whether the exercise is correctly written or not.

3.05+213.22

Step-by-Step Solution

Note that the decimal points are not written one below the other. They do not correspond.

Therefore, the exercise is not written correctly.

Answer:

Not true

Video Solution
Exercise #5

Determine whether the exercise is correctly written or not.

3.05+53.2

Step-by-Step Solution

Note that the decimal points are not written one below the other. They do not correspond.

Therefore, the exercise is not written correctly.

Answer:

Not true

Video Solution

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