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:
[tex] 10x = 0.9
[/tex]
From here, we clear the value of x.
We have then:
[tex] x = \frac{0.9}{10}
x = 0.09
[/tex]
Answer:
a decimal that is 1/10 of 0.9 is:
[tex] x = 0.09 [/tex]
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) = (1*9)/(10*10) = 9/100
Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.
