Respuesta :
0.6 x 0.2 = 12 and .9 - .12 = .78
It may be confusing because the decimals aren’t like whole numbers.
It may be confusing because the decimals aren’t like whole numbers.
Step-by-step explanation:
When you multiply 0.6 and 0.2, you do not get 1.2. Rather, the product would be 0.12.
We have the equation [tex]0.9-(0.6)(0.2)[/tex]
To show you what is happening, lets convert these numbers into fractions
This would give us [tex]\frac{9}{10} -(\frac{6}{10})(\frac{2}{10})[/tex]
Recall that when you multiply two fractions, you multiply the numerators and denominators separately. Doing so gives us
[tex]\frac{9}{10} -\frac{6*2}{10*10}[/tex]
Which then becomes
[tex]\frac{9}{10} -\frac{12}{100}[/tex]
The last thing we need to do is to create a common denominator
[tex]\frac{90}{100}-\frac{12}{100}=\frac{78}{100} =0.78[/tex]
Another way to see what is happening is by thinking about the numbers in scientific notation. Doing so would give us
[tex]9*10^{-1}-(6*10^{-1})(2*10^{-1})[/tex]
Once we multiply these terms, we get
[tex]9*10^{-1}-6*10^{-1}*2*10^{-1}\\\\9*10^{-1}-12*10^{-2}[/tex]
Now we can convert these numbers into decimals to get
[tex]0.9-0.12=0.78[/tex]