Question

Order the following numbers from least to greatest.

–5.5 4.5 22/7
√4 –√20
A
–√20, –5.5, √4 , 4.5, 22/7
D
–√20, –5.5, 22/7, √4 , 4.5

Answer 1

-5.5
`-√(20)`
`\sqrt4`
`(22)/(7)` 4.5

Explanation:

Given:

The numbers to order from least to greatest is given as:

`-5.5, 4.5, 22/7,\sqrt4,-√(20)`

In order to compare these numbers, we have to convert them in same form.

Let us simplify each number in decimal form.

`-5.5 = -5.5\\\\4.5=4.5\\\\(22)/(7)=3.14\\\\\sqrt4=2\\\\-√(20)=-√(5* 2^2)=-2\sqrt5=-4.47`

So, the least number is one which has the largest value with a negative sign.

Here, -5.5 is the least number.

The next smallest number is -4.47. So,
`-√(20)`

The next smallest number is 2. So,
`\sqrt4`

The next smallest number is 3.14. So,
`(22)/(7)`

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 <
`-√(20)` <
`\sqrt4` <
`(22)/(7)` < 4.5