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Abouts
0.6 x 0.2 = 12 and .9 - .12 = .78

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]