First, let's see how 23 compares with the squares of the positive whole numbers on the number line.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
The value of 23 is right between the square of 4 and the square of 5. Thus, the value √23 will be between 4 and 5.
Since 23 is much, much closer to the square of 5 than the square of 4, we can assume that the value √23 will be closer to 5 on the number line than 4.
Look at the attached image to see where I plotted the approximate location of √23.
You will realize that this approximation is pretty close since the actual value is roughly 4.80.
Let me know if you need any clarifications, thanks!
Answer: 3 2/3 Yards
Step-by-step Solution:
In order to solve this problem, you'll want to set up a conversion equation.
** 1 Yard = 3 Feet **
To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.
You can then solve by using simple division. I will attach a photo of the steps I did by hand.
** Canceling the units will help avoid confusion **
After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.
3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.
I hope this helps! c: