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. Pls help mehh

21 answers

To find a rational number between 2 and 2 ¼ using the method of adding the numbers together and dividing by 2, follow these steps:

Step 1: Add the numbers together:

2 + 2 ¼ = 2 + 2.25 = 4.25

Step 2: Divide the sum by 2:

4.25 ÷ 2 = 2.125

So, the rational number between 2 and 2 ¼ obtained by adding the numbers together and dividing by 2 is 2 1/8.
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)
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 the numbers 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.
It’s not right
Apologies for the mistake. Let's correct it:

Step 1: Add the numbers together:

2 + 214 = 216

Step 2: Divide the sum by 2:

216 ÷ 2 = 108

Step 3: Express the result as a mixed number:

Since we are looking for a number between 2 and 214, the result of 108 does not meet that requirement. Let's try again.

Step 4: Find a rational number between 2 and 214:

To do this, we will add 2 and 214 together and then divide the sum by 2.

2 + 214 = 216

216 ÷ 2 = 108

Step 5: Express the result as a mixed number:

The result 108 can be expressed as the mixed number 107 ¾.

Therefore, a rational number between 2 and 214 obtained by adding the numbers together and dividing by 2 is 107 ¾.
Find a rational number with one decimal place that is between 17−−√ and 18−−√.(1 point)
To find a rational number with one decimal place between √17 and √18:

First, we need to find the decimal approximations of √17 and √18.

√17 ≈ 4.12
√18 ≈ 4.24

Next, we can find a rational number between these two decimal approximations by taking their average:

(4.12 + 4.24) ÷ 2 = 4.18

So, a rational number with one decimal place between √17 and √18 is approximately 4.18.
Not right
Apologies for the mistake. Let's correct it:

To find a rational number with one decimal place between √17 and √18, we can use the method of adding the numbers together and dividing by 2:

Step 1: Find the decimal approximations of √17 and √18:

√17 ≈ 4.123
√18 ≈ 4.243

Step 2: Add the decimal approximations together:

4.123 + 4.243 = 8.366

Step 3: Divide the sum by 2:

8.366 ÷ 2 ≈ 4.183

So, a rational number with one decimal place between √17 and √18 is approximately 4.2.
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Which of the following is between π and 11−−√?
To determine which number is between π and 11−−√, we need to find their approximate values.

π is approximately 3.14.

To find the approximate value of 11−−√, we calculate the square root of 11:

11−−√ ≈ 3.316

Therefore, the number between π and 11−−√ is approximately 3.316.
Which of the following is between π and 11−−√?(1 point)
Responses

7–√
Start Root 7 End Root

10−−√
Start Root 10 End Root

8–√
To determine which number is between π and 11−−√, we compare their decimal approximations:

π ≈ 3.14
11−−√ ≈ 3.316

Now let's compare the given options:

7−√ ≈ 2.646
√7 ≈ 2.646

10−−√ ≈ 3.162
√10 ≈ 3.162

8−√ ≈ 2.828
√8 ≈ 2.828

Among the given options, the number that lies between π and 11−−√ is √8.
It’s 10—√
Apologies for the mistake. You are correct.

To clarify, the number between π and 11−−√ is 10−−√.
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