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UNIT 7 Rational Explorations: Numbers & their Opposites

UNIT 7 Rational Explorations: Numbers & their Opposites. Review. #1. What does the absolute value of a number tell you about the number?. #1 Answer. The absolute value of a number tells you the distance the number is from zero on the number line. #2.

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UNIT 7 Rational Explorations: Numbers & their Opposites

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  1. UNIT 7Rational Explorations: Numbers & their Opposites Review

  2. #1 What does the absolute value of a number tell you about the number?

  3. #1 Answer The absolute value of a number tells you the distance the number is from zero on the number line.

  4. #2 Describe how to use a number line to order integers

  5. #2 Answer When numbers are graphed on a number line, the numbers can be read from left to right to order them from least to greatest.

  6. #3 Evaluate: a) b) c)

  7. # 3 Answer Evaluate: a) = 7 b) = 4 c) = -15

  8. #4 Plot and label the following points on the coordinate plane. A: (6, 0), B: (0, -5),C: (4, 3), D: (-3, -2),E: (5, -4), F: (5, 2)

  9. #4 Answer A: (6, 0) B: (0, -5) C: (4, 3) D: (-3, 2) E: (5, -4) F: (5, 2)

  10. -1 0 1 #5 Plot 7 and its opposite on a number line. Label both numbers.

  11. -1 0 1 #5 Answer Plot 7 and its opposite on a number line. Label both numbers.

  12. #6 Order from least to greatest. 10, -4, -8, 6, 0, -2, 5

  13. #6 Answer Order from least to greatest. 10, -4, -8, 6, 0, -2, 5 -8, -4, -2, 0, 5, 6, 10

  14. #7 Connie is on a mountain at 17, 465 feet above sea level. How many more feet must she walk down the mountain to reach sea level if she has descended 2, 580 feet?

  15. #7 Answer Connie is on a mountain at 17,465 feet above sea level. How many more feet must she walk down the mountain to reach sea level if she has descended 2,580 feet? 17,465 – 2,580 = 14,885 ft

  16. #8 The table shows the average daily temperature in December for 5 cities in Canada. Write an inequality statement comparing the temperature of Toronto and Edmonton.

  17. #8 Answer The table shows the average daily temperature in December for 5 cities in Canada. Write an inequality statement comparing the temperature of Toronto and Edmonton. -10 > -19

  18. #9 Graph point A (-6, 4) on the coordinate plane. Reflect the point across the X-axis. What is the distance between point A and the reflected point? Justify your answer with an equation.

  19. #9 Answer Graph point A (-6, 4) on the coordinate plane. Reflect the point across the X-axis. What is the distance between point A and the reflected point? Justify your answer with an equation.

  20. #10 Graph (-7, 6) and (-7, -3) on the coordinate plane. Reflect both points across the y-axis to form the vertices of a rectangle. Name the two reflected ordered pairs. What is the perimeter of the rectangle? What is the area of the rectangle?

  21. #10 Answer Graph (-7, 6) and (-7, -3) on the coordinate plane. Reflect both points across the y-axis to form the vertices of a rectangle. Name the two reflected ordered pairs. What is the perimeter of the rectangle? What is the area of the rectangle?

  22. #11 How far is the library from the school? Write an expression to show your answer.

  23. #11 Answer How far is the library from the school? Write an expression to show your answer.

  24. #12 If you reflected the ordered pair (-8, 7) across the y-axis, what would be the coordinates of the reflection?

  25. #12 Answer If you reflected the ordered pair (-8, 7) across the y-axis, what would be the coordinates of the reflection? (8,7)

  26. #13 If you reflected the ordered pair (-5, -3) across the x-axis, what would be the coordinates of the reflection?

  27. #13 Answer If you reflected the ordered pair (-5, -3) across the x-axis, what would be the coordinates of the reflection? (-5, 3)

  28. #14 Which statement is NOT true? • -3 > -8 • -4 < -2 c) d) -10 > -12

  29. #14 Answer Which statement is NOT true? • -3 > -8 • -4 < -2 c) d) -10 > -12

  30. #15 It is 85 degrees in Los Angeles. It is 13 degrees below zero in Anchorage. How many degrees warmer is it in Los Angeles than in Anchorage?

  31. #15 Answer It is 85 degrees in Los Angeles. It is 13 degrees below zero in Anchorage. How many degrees warmer is it in Los Angeles than in Anchorage? 98 degrees warmer

  32. -1 0 1 #16 Tigger is jumping around the number line. He starts at -4 and jumps 10 spaces to the right. Where is he now on the number line?

  33. -1 0 1 #16 Answer Tigger is jumping around the number line. He starts at -4 and jumps 10 spaces to the right. Where is he now on the number line? 6

  34. -1 0 1 #17 Cara owes $7 to her mom for a game she bought at the store. Represent this value on the number line. Ethan owes $4 to his mom for a book he bought. Represent this number on the number line. How much more does Cara owe than Ethan? Explain how you could use the number line to determine your answer.

  35. -1 0 1 #17 Answer Cara owes $7 to her mom for a game she bought at the store. Represent this value on the number line. Ethan owes $4 to his mom for a book he bought. Represent this number on the number line. How much more does Cara owe than Ethan? Explain how you could use the number line to determine your answer.

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