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

Answer:

-5.5  $-\sqrt{20}$  $\sqrt4$  $\frac{22}{7}$  4.5

Step-by-step explanation:

Given:

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

$-5.5, 4.5, 22/7,\sqrt4,-\sqrt{20}$

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

Let us simplify each number in decimal form.

$-5.5 = -5.5\\\\4.5=4.5\\\\\frac{22}{7}=3.14\\\\\sqrt4=2\\\\-\sqrt{20}=-\sqrt{5\times 2^2}=-2\sqrt5=-4.47$

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, $-\sqrt{20}$

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

The next smallest number is 3.14. So, $\frac{22}{7}$

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 < $-\sqrt{20}$ < $\sqrt4$ < $\frac{22}{7}$ < 4.5