Question

How are the decimals 0.009 and 0.09 related? Explain

Answer 1

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

Answer 2

.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.