Four people have found the distance in kilometers across a small bridge using different methods.
Their results are given in the table. Order the distances from least to greatest.
(1 point)
Responses
5 1/2, 28√, 5.5¯¯¯, 23/4
28√, 5 1/2, 5.5¯¯¯, 23/4
28√, 5.5¯¯¯, 23/4, 5 1/2
23/4 , 5.5¯¯¯, 28√, 5 1/2
The correct order of the distances from least to greatest is:
23/4 , 5.5¯¯¯, 28√, 5 1/2
can you explain?
Certainly! Let's break down each distance and convert them to decimal form:
- 5 1/2 can be written as 5.5 in decimal form.
- 28√ is the square root of 28, which is approximately 5.2915.
- 5.5¯¯¯ is just another way to write 5.5 in decimal form.
- 23/4 can be written as 5.75 in decimal form.
Now, we can compare these decimals to determine the correct order:
- 5.2915 is the smallest decimal distance.
- 5.5 is larger than 5.2915.
- 5.75 is larger than both 5.2915 and 5.5.
Therefore, the correct order of the distances from least to greatest is:
23/4 , 5.5¯¯¯, 28√, 5 1/2
To order the distances from least to greatest, we need to convert them to a common format and then compare them.
The distances given are:
1) 5 1/2
2) 28√
3) 5.5¯¯¯
4) 23/4
Let's convert them to a common format:
1) 5 1/2 = 5.5
2) 28√ ≈ 16.792
3) 5.5¯¯¯ = 5.555...
4) 23/4 = 5.75
Now, let's order them from least to greatest:
1) 5.5
2) 5.555...
3) 5.75
4) 16.792
Therefore, the correct order is:
5.5, 5.555..., 5.75, 16.792
To order the distances from least to greatest, we need to convert all the values to a common format and then compare them.
Let's start by converting the mixed numbers and fractions to decimals:
5 1/2 = 5.5
23/4 = 5.75
Next, we need to simplify the square root:
√28 = √(4 * 7) = √4 * √7 = 2√7
Now, we have the following values:
5.5, 2√7, 5.5¯¯¯, 5.75
We can compare these values to order them:
2√7 < 5.5 < 5.5¯¯¯ < 5.75
So, the correct order of the distances from least to greatest is:
2√7, 5.5, 5.5¯¯¯, 5.75
Therefore, the correct response is:
28√, 5 1/2, 5.5¯¯¯, 23/4