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.(1 point).
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.(1 point).
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we can use the following steps:
1. Convert 2 1/4 to an improper fraction: 2 1/4 = (2 * 4 + 1) / 4 = 9/4.
2. Add the numbers together: 2 + 9/4 = 8/4 + 9/4 = 17/4.
3. Divide the sum by 2: (17/4) ÷ 2 = 17/4 ÷ 2/1 = 17/4 * 1/2 = 17/8.
Therefore, a rational number between 2 and 2 1/4 is 17/8. We can simplify this mixed number as 2 1/8.
Better be correct!! Scum!
I apologize if my previous response was not clear or satisfactory. The correct rational number between 2 and 2 1/4 found using the method of adding the numbers together and dividing by 2 is indeed 17/8 or 2 1/8.
What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)
To find the largest integer whose square root is an irrational number between 3 and 4, we can square both 3 and 4 to see which one yields a result that falls between 3 and 4.
Squaring 3 gives 9, which is less than 4. Therefore, the largest integer whose square root is an irrational number between 3 and 4 is 3.
Incorrect!
I apologize for the incorrect response. Let's find the correct answer.
The square root of a number between 3 and 4 is between the square root of 3 and the square root of 4.
The square root of 3 is approximately 1.732.
The square root of 4 is 2.
So, the largest integer whose square root is an irrational number between 3 and 4 is 1.
INCORrect!!
Apologies for the previous incorrect response. Let's find the correct largest integer whose square root is an irrational number between 3 and 4.
We know that the square root of 3 is approximately 1.732 and the square root of 4 is exactly 2.
To find the largest integer whose square root falls between these two values, we need to find the largest perfect square number smaller than 4. The largest perfect square less than 4 is 3.
Therefore, the largest integer whose square root is an irrational number between 3 and 4 is 3.