Multiplication of decimal fractions - Examples, Exercises and Solutions

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

We convert decimal numbers into mixed fractions:

$4\frac{1}{10}\times1\frac{6}{10}\times3\frac{2}{10}+4\frac{7}{10}=$

Now, we convert mixed fractions into simple fractions:

$\frac{41}{10}\times\frac{16}{10}\times\frac{32}{10}+\frac{47}{10}=$

We solve the exercise from left to right:

$\frac{41\times16}{10\times10}=\frac{656}{100}$

Now we get the exercise:

$\frac{656}{100}\times\frac{32}{10}+\frac{47}{10}=$

We solve the multiplication exercise:

$\frac{656\times32}{100\times10}=\frac{20,992}{1,000}$

Now we get the exercise:

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

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

$\frac{47\times100}{10\times100}=\frac{4,700}{1,000}$

We get the exercise:

$\frac{20,992}{1,000}+\frac{4,700}{1,000}=\frac{20,992+4,700}{1,000}=\frac{25,692}{1,000}$

We convert the simple fraction into a decimal number:

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

25.692

$0.1\times0.004=$

$0.0004$

$0.1\times0.999=$

$0.0999$

$0.1\times0.35=$

$0.035$

$0.1\times0.5=$

$0.05$

Given the following exercise, find the correct place of the decimal point:

$0.3\times2.15=0645$

$0.645$

Find the correct place of the decimal point:

$1.35\times2.47=33345$

$3.3345$

$0.01\times0.50=$

$0.005$

$0.01\times0.300=$

$0.003$

$0.01\times0.101=$

$0.00101$

$\text{0}.01\times0.45=$

$0.0045$

$0.01\times0.315=$

$0.00315$

Given the following exercise, find the correct place of the decimal point:

$3.751\times0.5=18755$

$1.8755$$$

Given the following exercise, find the correct place of the decimal point:

$6.13\times2.05=125665$

$12.5665$

Given the following exercise, find the correct place of the decimal point:

$3.5\times2.4=840$

$\text{8}.40$