John and Kamira are playing a game together. John's score (J) and Kamira's score (K) after round one are shown on the number line.

Question

Now, determine ALL of the number(s) that will make the statement true. Numbers may be used more than once.
The sum of John's score and Kamira's score is
a
.
The difference between John's score and Kamira's score is
.

The absolute value of the difference between John's score and Kamira's score is
.

The sum of the absolute value of John's score and the absolute value of Kamira's score is

Answer 1

To help you fill in the blanks with values for John's score (J) and Kamira's score (K), I'll need to provide some examples based on a hypothetical scenario since I cannot see the actual scores from your description.

Let's assume John's score (J) is 3 and Kamira's score (K) is -2.

1. The sum of John's score and Kamira's score is: \( J + K = 3 + (-2) = 1 \) So, the value for "a" is 1.

2. The difference between John's score and Kamira's score is: \( J - K = 3 - (-2) = 3 + 2 = 5 \) Therefore, the difference is 5.

3. The absolute value of the difference between John's score and Kamira's score is: \( |J - K| = |3 - (-2)| = |5| = 5 \) Thus, the absolute value of the difference is 5.

4. The sum of the absolute values of John's score and Kamira's score is: \( |J| + |K| = |3| + |-2| = 3 + 2 = 5 \) So, the sum of the absolute values is 5.

Now, combining it all:

• The sum of John's score and Kamira's score is 1.
• The difference between John's score and Kamira's score is 5.
• The absolute value of the difference between John's score and Kamira's score is 5.
• The sum of the absolute value of John's score and the absolute value of Kamira's score is 5.

If you provide specific values for John and Kamira's scores, I can replace these with the actual numbers!