PLEASE HELP AND PROVIDE EXPLANATION Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
π √2 4√4 √16
Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
Order the string sizes from least to greatest.

(a) To approximate , we are going to use a compass to draw a cirle of radius 2 and circumference 12.5. Remember that is the ratio between the circumference of a circle and its diameter; since the diameter of a circle is two times its radius, we can find using the equation:

Infinity= 3.1

And to the nearest tenth:

Step-by-step explanation: To approximate , we are going to use the Babylonian method:

Step 1. We are going to make a guess. Our guess is 2 because , so must be close to 2.

Step 2. We are going to divide 5 by 2:

Step 3. We are going to find the average between our initial guest and the result of our previous calculation:

And to the nearest tenth:

To approximate , we are going to use the Babylonian method one more time:

Step 1. Our guess is 3 because , so must be close to 3.

Step 2. We are going to divide 8 by 3:

Step 3. We are going to find the average between our initial guest and the result of our previous calculation:

To approximate we are going to multiply our approximation of and multiply it by 2:

(b) Since we have our irrational numbers expressed as decimal approximations, we can compare them to arrange them form least to greatest:

2.2,2.8,3.1,4.4

Now, we just need to replace the decimal approximations with the original numbers:

,,,

We can conclude that ordering the ribbon sizes from least to greatest we get:

,,,

square root

step-by-step explanation: