How are the decimals 0.009 and 0.09 related? Explain
.09 is ten times bigger than .009
In fraction form, .09 is 9/10 and .009 is 9/100. In fractions, the larger the denominator (bottom number of the fraction), the smaller the overall number is. So, since 9/10 has a smaller denominator than 9/100, 9/10 is bigger. 9/10 is exactly ten times bigger than 9/100, because 10 x 10 = 100.
For this case we have the following numbers:
\(0.009
0.09
\)
The relationship of these numbers is given by:
\(0.09 = k * 0.009
\)
Where,
k: proportionality constant
Clearing the value of k we have:
\(k = \frac{0.09}{0.009}
k = 10
\)
Therefore, this means that the number 0.09 is 10 times larger than the number 0.009
Answer:
0.09 is 10 times larger than the number 0.009