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Question
When adding integers:

When subtracting integers, remember to add the opposite (Keep Change Change).



Now, determine ALL of the number(s) that will make the statement true. Numbers may be used more than once.

(4 points)
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.

(a number line that ranges from from, on the left end its -10 and it goes up and ends at 10 on the far right. J is on -5 and K is on 7

Complete the following statements:

The sum of John's score and Kamira's score is
.

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

To determine the required values based on John's score (J = -5) and Kamira's score (K = 7), we will compute the following:

  1. The sum of John's score and Kamira's score: \[ J + K = -5 + 7 = 2 \]

  2. The difference between John's score and Kamira's score: \[ J - K = -5 - 7 = -12 \]

  3. The absolute value of the difference between John's score and Kamira's score: \[ |J - K| = |-12| = 12 \]

  4. The sum of the absolute value of John's score and the absolute value of Kamira's score: \[ |J| + |K| = |-5| + |7| = 5 + 7 = 12 \]

Now, let's fill in the statements:

  • 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.