Question

Write the following numbers in order, starting from the smallest.
`5/11,`
`√(2),`
`45.4/100,`
`9/20`

Answer 1

`9/20,`
`45.4/100,`
`5/11,`
`√(2)`

Explanation:

Convert the values into decimals.

`5/11=0.45454545454`

`√(2)=1.41421356237`

`45.4/100=0.454`

`9/20=0.45`

With decimals, it is especially important to understand place value.

`0.45454545454, 1.41421356237, 0.454, 0.45`

Order from smallest to largest.

`0.45, 0.454, 0.45454545454, 1.41421356237`

`9/20,`
`45.4/100,`
`5/11,`
`√(2)`