Question

The two numbers that I said were closest together were 0.17 and 0.128

Answer 1

First, write the numbers 0.17 and 0.128 as a fraction. To do so, remember that if the denominator is not visible, we can consider it as equal to 1:

`\begin{gathered} 0.17=(0.17)/(1) \\ 0.128=(0.128)/(1) \end{gathered}`

Multiply both numerator and denominator by 1000:

`\begin{gathered} 0.17=(0.17\cdot1000)/(1\cdot1000) \\ =(170)/(1000) \end{gathered}`
`\begin{gathered} 0.128=(0.128\cdot1000)/(1\cdot1000) \\ =(128)/(1000) \end{gathered}`

Since both 128/1000 and 170/1000 have the same denominator, we can find another fraction between both of them just by finding a number between the numerators. This is, a number between 128 and 170.

Since 128<150<170, then a fraction between 128/1000 and 170/1000 is:

`(150)/(1000)`

Therefore:

`0.128<(150)/(1000)<0.17`