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Working with Integers

Aug. 27. Working with Integers. I can define rational numbers and integers. I can add and subtract integers. I can define additive inverse and explain how they combine to make 0. Aug. 27.

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Working with Integers

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  1. Aug. 27 Working with Integers I can define rational numbers and integers. I can add and subtract integers. I can define additive inverse and explain how they combine to make 0.

  2. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Pre-Assessment: The Number System Real Rational Integers Whole Natural Irrational

  3. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ What is a rational number? The root of rational is… A ratio is the relationship between two quantities. Example: 3:4 Ratios can be written another way… So what might this tell us about rational numbers?

  4. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ What is a rational number? Definition: Characteristics: Examples: Non-Examples:

  5. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ What is a rational number? Definition: A real number that can be written as a simple fraction Characteristics: Examples: Non-Examples: (Irrational Numbers)

  6. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ What is an integer? Definition: Characteristics: Examples: Non-Examples:

  7. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ What is an integer? Definition: A whole number that is not a fraction Characteristics: Examples: Non-Examples:

  8. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Which are integers? A) -5.3 B) 5.3 C) -11 D) 11 E) -½ F) ∏

  9. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Which are rational numbers? A) -5.3 B) 5.3 C) -11 D) 11 E) -½ F) ∏

  10. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Which are rational numbers but NOT integers? A) -16 B) 9.75 C) √9 D) 0.1 E) -½ F) 14 x 1012

  11. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ √2 0 9 -3 -4.5 ½ ∏ 13 6.8 -99 Real Rational Integers Whole Natural Irrational

  12. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Real Rational Integers Whole Natural Irrational 9 13 √2 ∏ 0 ½ -99 -3 6.8 -4.5

  13. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Write the number to represent each scenario: 1. Spending $6.00 2. Gain of 11 pounds 3. Depositing $700 4. 10 degrees below zero 5. 8 strokes under par (par = 0) 6. Missing a $200 question on Jeopardy What category could ALL of these numbers fit into?

  14. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Insert a >, <, or = to make each statement true. -11 ___ -4

  15. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Insert a >, <, or = to make each statement true. -8 ___ |8|

  16. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Insert a >, <, or = to make each statement true. -4 ___ -18 0

  17. Aug. 27 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Insert a >, <, or = to make each statement true. -2,709 ___ -1,000,008 0

  18. Aug. 28 Working With Integers I can define rational numbers and integers. I can add and subtract integers. I can define additive inverse and explain how they combine to make 0.

  19. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Adding Integer Rules -5 + (-2) = __ -1 + (-9) = __ -4 + (-14) = __ 1) If you have two negative numbers, the sum will be ___________. 5 + 2 = __ 1 + 9 = __ 4 + 14 = __ 2) If you have two positive numbers, the sum will be ___________.

  20. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Adding Integer Rules -5 + 2 = __ 6 + (-9) = __ -4 + 7 = __ 3) If you have a positive and a negative integer, the sum will have the sign of the integer with the greatest ______________________. 4) If you add a positive and a negative integer, find the difference of the numbers’ ______________________. Then use the sign of the larger absolute value.

  21. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Integer Rules Review If the signs are the same, find the sum. If the signs are different, find the difference. 3-(-3) = 1+7 = -2 + 4 = 8+1= 9+(-2) = 6+(-1) = -9 + 10 = d+(-d) =

  22. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Hiking Dave started his hike at 32 feet below sea level. During the hike he gained an altitude of 29 feet. Write a numeric expression that will allow you to find the altitude at which Dave completed his hike.

  23. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ GOLF In 2005, Tiger Woods won the Masters Tournament. His scores were +2, -6, -7, and -1 for four rounds. Write an addition expression that represents his final score. Then find the sum.

  24. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ INVENTORY A local bookstore has 30 copies of a bestseller when it opens Monday morning. On Monday, it sells 6 copies of the book. On Tuesday, it sells 3 copies. On Wednesday, it receives a shipment containing 24 copies of the book and also sells 8 copies. Write an addition expression that represents the number of copies of the book that store has at the end of the day on Wednesday. Then find the sum.

  25. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ SPORTS Peter weighs 156 pounds, but he would like to wrestle in a lower weight class. He loses 4 pounds one week, gains back 2 pounds the next week, loses 5 pounds the third week, and loses 3 pounds the fourth week. Write an addition expression to represent this situation. Then find the sum.

  26. Aug. 28 I can define rational numbers and integers. I can add and subtract integers.I can define additive inverse and explain how they combine to make 0._______________________________________________________________________________ Adding Integers Textbook Practice Pgs. 84-85 #39 - 55

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