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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.

John is -5
Kamira is 7
Now, determine ALL of the number(s) that will make the statement true. Numbers may be used more than once.

Complete the following statements:

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
.

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1 answer

Let's analyze the provided scores of John and Kamira and perform the calculations step by step.

Given:

  • John's score (J) = -5
  • Kamira's score (K) = 7

1. The sum of John's score and Kamira's score:

\[ \text{Sum} = J + K = -5 + 7 = 2 \] So, the sum of John's score and Kamira's score is 2.

2. The difference between John's score and Kamira's score:

\[ \text{Difference} = J - K = -5 - 7 = -12 \] So, the difference between John's score and Kamira's score is -12.

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

\[ \text{Absolute Value of Difference} = |J - K| = |-12| = 12 \] So, the absolute value of the difference between John's score and Kamira's score is 12.

4. The sum of the absolute value of John's score and the absolute value of Kamira's score:

\[ \text{Sum of Absolute Values} = |J| + |K| = |-5| + |7| = 5 + 7 = 12 \] So, the sum of the absolute value of John's score and the absolute value of Kamira's score is 12.

Summary:

  • The sum of John's score and Kamira's score is 2.
  • The difference between John's score and Kamira's score is -12.
  • The absolute value of the difference between John's score and Kamira's score is 12.
  • The sum of the absolute value of John's score and the absolute value of Kamira's score is 12.