Question

Order each set of cards from least to greatest.

a. .,⎯⎯⎯⎯√,0.25 , comma , square root

Answer 1

Question:

Order each set of cards from least to greatest.

a. 0.25, √(1/9), (6/25)

b. √(121/25), 2.25, √5

Answer:

a.
`(6)/(25)`;
`0.25` and
`\sqrt{(1)/(9)}`

b. 2.2; 2.2361; 2.25

Explanation:

Solving a. 0.25, √(1/9), (6/25)

Rewrite each number in decimals:

`0.25`

`\sqrt{(1)/(9)} = (√(1))/(√(9)) = (1)/(3) =0.333`

`(6)/(25) = 0.24`

At this stage, the numbers can then be ordered as follows;

0.24; 0.25; 0.333

`(6)/(25)`;
`0.25` and
`\sqrt{(1)/(9)}`

Solving b. √(121/25), 2.25, √5

Rewrite each number in decimals:

`\sqrt{(121)/(25)} = (√(121))/(25)} = (11)/(5) = 2.2`

`2.25`

`√(5) = 2.2361..`

At this stage, the numbers can then be ordered as follows;

2.2; 2.2361; 2.25 which gives

`2.2`;
`√(5)` and
`2.25`