Question

Mondo correctly finds the closest benchmarks for three numbers.

Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3

3.8 is closest to the benchmark 4

Three and four-ninths is closest to the benchmark Three and one-half


Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?



Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8


Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths


3.8, , Three and StartFraction 6 over 25 EndFraction


3.8, Three and StartFraction 6 over 25 EndFraction,

Answer 1

From greatest to least, the order is:

`3.8,\ 3(4)/(9),\ 3(6)/(25)`

Explanation:

Given

`Closest\ Benchmark \to Number`

`3(6)/(25) \to 3`

`3(4)/(9) \to 4`

Required

Order
`3(6)/(25), 3.8, 3(4)/(9)` from greatest to least

From the given parameters, we have:

`3(6)/(25) \to 3`

`3(4)/(9) \to 4`

This implies that:

`3(4)/(9)\ >\ 3(6)/(25)` --- we know this from the nearest benchmark

Convert
`3(4)/(9)` to decimal

`3(4)/(9) = 3.44`

By comparison;

`3.8 >\ 3(4)/(9)`

Hence, the list is:

`3.8,\ 3(4)/(9),\ 3(6)/(25)`