Emily, Cora, Sahil, and Juan are playing another game. Each player gets a
card with a number on it. The reverse side of the card contains a hidden
letter. The four players line up on a number line. If they are correct, the
hidden letters spell a word.
For Round 2, Emily has 2/3 , Sahil has –3/5 , Juan has –1/2 , and Cora
has 1. Use a number line to show how the students should line up. (describe what the number line will look like)
2. When they reveal their letters, they spell AMTH. The students then
line up from least to greatest using the absolute values of their
numbers to spell a word. Assign each letter to the proper student.
To represent the number line, we will use a horizontal line with labeled points representing the given values. Let's create the number line for the given values:
First, let's label the points on the number line:
-3/5 -1/2 1 2/3
Sahil Juan Cora Emily
To represent the distances between the numbers, we will space the points proportionally. Since the values are not evenly spaced, the distance between each point will vary. However, we can position the points approximately according to their values.
So, on the number line, starting from left to right, we have Sahil at -3/5, Juan at -1/2, Cora at 1, and Emily at 2/3.
The hidden letters spell "AMTH". To line up the students from least to greatest using the absolute values of their numbers, we need to consider the magnitudes of the numbers rather than their sign.
The absolute values of the numbers are:
Sahil: | -3/5 | = 3/5
Juan: | -1/2 | = 1/2
Cora: | 1 | = 1
Emily: | 2/3 | = 2/3
Arranging the students based on absolute values, from least to greatest, we have Juan, Sahil, Emily, and Cora.
So, the final assignment of letters to students is:
J for Juan (representing -1/2)
S for Sahil (representing -3/5)
E for Emily (representing 2/3)
C for Cora (representing 1)