Verified Answer :

carlosego

For this case, the first thing we must do is define variables.

We have then:

x: decimal unknown

We write the equation that models the problem.

We have then:

\(10x = 0.9
\)

From here, we clear the value of x.

We have then:

\(x = \frac{0.9}{10}

x = 0.09
\)

Answer:

a decimal that is 1/10 of 0.9 is:

\(x = 0.09\)

The correct answer is:

0.09

Explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (19)/(1010) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

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