A teacher asks four students to give a number value. The table shows the students’ responses.
Student Response
Andy 9.4
Carmen 99−−√
Gabe 8.95
Mackenzie 82−−√
Arrange the students’ values in order from least(top) to greatest(bottom).
Arranging the students' values in order from least (top) to greatest (bottom):
Gabe: 8.95
Andy: 9.4
Mackenzie: √82
Carmen: √99
To arrange the students' values in order from least (top) to greatest (bottom), we need to convert the values to numbers if possible. Let's analyze each response:
1. Andy: The response is already a number value, 9.4.
2. Carmen: The response is the square root of 99, which is approximately 9.94987.
3. Gabe: The response is a number value, 8.95.
4. Mackenzie: The response is the square root of 82, which is approximately 9.05539.
Now let's arrange the values in ascending order:
8.95 < 9.05539 < 9.4 < 9.94987
Hence, the arrangement of the students' values from least (top) to greatest (bottom) is as follows:
1. Gabe (with a value of 8.95)
2. Mackenzie (with a value of √82)
3. Andy (with a value of 9.4)
4. Carmen (with a value of √99)
To arrange the students' values in order from least to greatest, we need to compare and order the values. However, we have some values written in a different format, with a square root symbol (√) and a subtraction sign (-) inside.
To compare and order these values, we need to simplify the expressions inside the square root symbol and calculate the actual values.
Let's simplify the expressions:
- For the value "99-√" given by Carmen, we need to calculate the square root of 99 and then subtract that value from 99.
- The square root of 99 is approximately 9.949874.
- Subtracting this value from 99 gives us 99 - 9.949874 = 89.050126.
So Carmen's actual value is approximately 89.050126.
- For the value "82-√" given by Mackenzie, we need to calculate the square root of 82 and then subtract that value from 82.
- The square root of 82 is approximately 9.055385.
- Subtracting this value from 82 gives us 82 - 9.055385 = 72.944615.
So Mackenzie's actual value is approximately 72.944615.
Now that we have simplified the expressions inside the square root symbols, we can arrange the values in order from least to greatest:
1. Gabe: 8.95
2. Andy: 9.4
3. Mackenzie: 72.944615
4. Carmen: 89.050126
So the students' values arranged in order from least (top) to greatest (bottom) are Gabe, Andy, Mackenzie, and Carmen.