Question

Find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.

Answer 1

Find a rational number with one decimal place that is between 17−−√ and 18−−√.

Answer 2

Find a rational number between 2 and 2 1/4

Answer 3

To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, first add the two numbers:

2 + 214 = 216

Then divide the sum by 2:

216 ÷ 2 = 108

So, a rational number between 2 and 214, using the given method, is 108.

Since 108 is an integer, it can also be expressed as a mixed number as 108 0/1.

Answer 4

To find a rational number with one decimal place between √17 and √18, we need to consider the square roots as decimal approximations.

Approximate the square root of 17:

√17 ≈ 4.12

Approximate the square root of 18:

√18 ≈ 4.24

Now, we need to find a rational number with one decimal place between 4.12 and 4.24. We can do this by taking the average of the two approximations.

(4.12 + 4.24)/2 = 8.36/2 = 4.18

So, a rational number with one decimal place between √17 and √18 is approximately 4.18.