To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we first add 2 and 2 1/4:
2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Next, we divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
Therefore, a rational number between 2 and 2 1/4 using this method is 17/8. As a mixed number, it can be written as 2 1/8.
Find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.
3 answers
Find a rational number with one decimal place that is between 17−−√ and 18−−√
To find a rational number with one decimal place that is between √17 and √18, we first calculate the decimal approximations of each square root:
√17 ≈ 4.123
√18 ≈ 4.243
Next, we find a decimal number between 4.123 and 4.243 with one decimal place. One way to do this is to take the average of these two decimal approximations:
(4.123 + 4.243) / 2 ≈ 8.366 / 2 ≈ 4.183
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.2.
√17 ≈ 4.123
√18 ≈ 4.243
Next, we find a decimal number between 4.123 and 4.243 with one decimal place. One way to do this is to take the average of these two decimal approximations:
(4.123 + 4.243) / 2 ≈ 8.366 / 2 ≈ 4.183
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.2.