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.
Find a rational number with one decimal place that is between 17−−√ and 18−−√.
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.
Find a rational number between 2 and 2 1/4
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, follow these steps:
Step 1: Add 2 and 214 together:
2 + 214 = 216
Step 2: Divide the sum by 2:
216 ÷ 2 = 108
So, the rational number between 2 and 214, obtained by adding the numbers together and dividing by 2, is 108.
Expressing it as a mixed number:
Since 108 is already a whole number, we can write it as a mixed number by combining it with a fraction. The fraction will have a numerator less than the denominator.
108 as a mixed number:
108 = 108 + 0/1
Therefore, the rational number between 2 and 214, expressed as a mixed number, is 108.
To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we first add the two numbers together:
2 + 214 = 216
Next, we divide the sum by 2:
216 ÷ 2 = 108
So, the rational number between 2 and 214 is 108. However, we need to present the answer as a mixed number.
To convert the improper fraction 108/1 into a mixed number, we divide the numerator by the denominator:
108 ÷ 1 = 108
The quotient, 108, becomes the whole number portion of the mixed number, and the remainder becomes the numerator of the fractional part. Since the remainder is 0, the fractional part is 0.
Therefore, the mixed number representation of the rational number 108 is:
108 + 0/1 = 108
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.