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:

You can read more in the assigned extended article


Practice Decimal fractions - advanced

Exercise #1

4.11.63.2+4.7=? 4.1\cdot1.6\cdot3.2+4.7=\text{?}

Step-by-Step Solution

We convert decimal numbers into mixed fractions:

4110×1610×3210+4710= 4\frac{1}{10}\times1\frac{6}{10}\times3\frac{2}{10}+4\frac{7}{10}=

Now, we convert mixed fractions into simple fractions:

4110×1610×3210+4710= \frac{41}{10}\times\frac{16}{10}\times\frac{32}{10}+\frac{47}{10}=

We solve the exercise from left to right:

41×1610×10=656100 \frac{41\times16}{10\times10}=\frac{656}{100}

Now we get the exercise:

656100×3210+4710= \frac{656}{100}\times\frac{32}{10}+\frac{47}{10}=

We solve the multiplication exercise:

656×32100×10=20,9921,000 \frac{656\times32}{100\times10}=\frac{20,992}{1,000}

Now we get the exercise:

20,9921,000+4710= \frac{20,992}{1,000}+\frac{47}{10}=

We multiply the fraction on the right so that its denominator is also 1000:

47×10010×100=4,7001,000 \frac{47\times100}{10\times100}=\frac{4,700}{1,000}

We get the exercise:

20,9921,000+4,7001,000=20,992+4,7001,000=25,6921,000 \frac{20,992}{1,000}+\frac{4,700}{1,000}=\frac{20,992+4,700}{1,000}=\frac{25,692}{1,000}

We convert the simple fraction into a decimal number:

25,6921,000=25.692 \frac{25,692}{1,000}=25.692

Answer

25.692

Exercise #2

0.75+0.35= 0.75+0.35=

Video Solution

Answer

1.1

Exercise #3

What is the number of the ones?

0.81

Video Solution

Answer

0

Exercise #4

What is the number of the tenths?

0.96

Video Solution

Answer

9

Exercise #5

What is the hundredth?

0.96

Video Solution

Answer

6

Exercise #1

What is the number of the ones?

0.73

Video Solution

Answer

0

Exercise #2

What is the number of the ones?

0.07

Video Solution

Answer

0

Exercise #3

What is the number of the ones?

0.4

Video Solution

Answer

0

Exercise #4

What is the number of the tenths?

1.3

Video Solution

Answer

3

Exercise #5

Write the following decimal as a fraction and simplify:

0.75 0.75

Video Solution

Answer

34 \frac{3}{4}

Exercise #1

Write the following decimal fraction as a simple fraction and simplify:

0.36= 0.36=

Video Solution

Answer

925 \frac{9}{25}

Exercise #2

Write the following decimal fraction as a simple fraction and simplify:

0.58 0.58

Video Solution

Answer

2950 \frac{29}{50}

Exercise #3

Write the following decimal fraction as a simple fraction and simplify:

0.8 0.8

Video Solution

Answer

45 \frac{4}{5}

Exercise #4

Write the following decimal fraction as a simple fraction and simplify:

0.5= 0.5=

Video Solution

Answer

12 \frac{1}{2}

Exercise #5

Write the following decimal fraction as a simple fraction and simplify:

0.350 0.350

Video Solution

Answer

720 \frac{7}{20}