Question

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1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.

2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?


3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.

4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water.

Answer 1

Horizontal reflection

Answer 2

1 im not 100% on this one but b could be a horizontal reflection or a vs vertical reflection

2 The absolute value of a number is its distance from zero on the number line. Therefore, -4+3 is 4+3, and the absolute value of 3+(-4) is also 4+3.

Explanation:

2 The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of 3 is 3, and the absolute value of -3 is also 3. A positive number and its negative have the same absolute value. It is symbolized as |x|, and |-x| has the same value.

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