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Integer numbers.pptx
- 1. INTEGERS Numbers By: Eng. Dylan Navarro
- 3. An integer is a positive or negative whole number, including 0. -3, -2, -1, 0, 1, 2, 3 Whole Number: Any number over 1.
- 6. There are 4 Integer Operations JUST LIKE IN ALL MATH!
- 8. 4 Integer Operations + Addition Subtraction - Multiplication x Division 歎
- 9. Rules For Integers When Signs are the same, add the numbers! -3 - 1 = -(3 + 1) Answer gets the sign of the larger number. 3 is the largest number its sign is a (-). Answer is -4.
- 10. Rules For Integers When Signs are the different subtract the numbers. -4 + 1 = 1- 4 Answer still gets the sign of the larger number. 4 is the largest number its sign is a (-). Answer is -3.
- 11. Lets Practice 1) 5 - 6 = 2) -3 + 2 = 3) 6 + 5 = 4) -8 + 7 = 5) 9 - 9 = 6) -6-1 = 7) -4+7= 8) -11+6= Remember: If signs are the same add the numbers, if signs are different subtract the numbers. Then give the answer the sign of the largest number! -1 -1 +11 -1 0 -7 3 -5
- 12. Rules for Integers When Parenthesis ( ) are involved we get to doodle! This is where you need to draw some faces. (I bet you didnt know you would be doing Art in Math!)
- 13. Rules for Adding & Subtracting Integers Continued When you multiply a (+ x -) you get a (-). When you multiply a (- x -) you get a (+). When you multiply a (+ x +) you get a (+). 5 + (-1) = 5-1=4 5 (-1) = 5+1=6 5 + (+5) = 5+5= 10 - + +
- 14. Lets Practice Remember: DRAW the faces first! If signs are the same add the numbers, if signs are different subtract the numbers. Then give the answer the sign of the largest number! 9 2 4 15 12 1) 4 +(-5) = 2) 9 +-(-7) = 3) 6 -(+2) = 4) 8 +(-7) = 5) 9 ++(+3) =
- 15. Lets Practice Cont. Remember: DRAW the faces first! If signs are the same add the numbers, if signs are different subtract the numbers. Then give the answer the sign of the largest number! 1) 5 +-(-2) = 2) 3 +(-4) = 3) 1 -(+2) = 4) 5 +(-3) = 5) 7 +(-6) = 3 7 -1 8 13
- 16. Rules for Multiplying Integers (x) The product of two integers with the same signs is POSITIVE. The product of two integers with different signs is NEGATIVE.
- 17. Rules Summary for Multiplication Positive x Positive = Positive Negative x Negative = Positive Positive x Negative= Negative Negative x Positive = Negative
- 18. Lets Practice Multiplication 1) 6 x (-3) = 2) 3 x 3 = 3) -4 x 5 = 4) -6 x (-2) = 5) -7 x (-8) = -18 9 -20 12 56 Remember: Positive x Positive = Positive Negative x Negative = Positive Positive x Negative= Negative Negative x Positive = Negative
- 19. Did you know that the rules for multiplication and division are the same?
- 21. The rules for division are exactly the same as those for multiplication. If we were to take the rules for multiplication and change the multiplication signs to division signs, we would have an accurate set of rules for division.
- 22. Rules for Dividing Integers (歎) The quotient of two integers with the same signs is POSITIVE. The quotient of two integers with different signs is NEGATIVE.
- 23. Rules Summary for Division Positive 歎 Positive = Positive Negative 歎 Negative = Positive Positive 歎 Negative= Negative Negative 歎 Positive = Negative
- 24. Lets Practice Division 1) 18 歎 (-2) = 2) -48 歎 (-6) = 3) -27 歎 9 = 4) 64 歎 8 = 5) 30 歎 (-5) = -9 8 -3 8 -6 Remember: Positive 歎 Positive = Positive Negative 歎 Negative = Positive Positive 歎 Negative= Negative Negative 歎 Positive = Negative
- 25. Lets Review
- 26. What is an integer?
- 27. ANSWER An integer is a positive or negative whole number, including 0.
- 28. Can you give an example of an integer?
- 29. ANSWER -3, -2, -1, 0, 1, 2, 3
- 30. What are the four operations?
- 31. ANSWER The four operations are: addition, subtraction, multiplication, and division.
- 32. When signs are the same you?
- 33. ANSWER Add the numbers Answer gets sign of the larger number.
- 35. ANSWER You subtract the numbers Answer gets sign of the larger number.
- 36. How do you multiply integers?
- 37. ANSWER If the signs are the same, your answer is always positive. If the signs are different, your answer is always negative.
- 38. How do you divide integers?
- 39. ANSWER If the signs are the same, your answer is always positive. If the signs are different, your answer is always negative. *Multiplication and Division Rules are the same!
- 40. Practical exercise homework The table shows the positions of the soccer teams in one of the Colombian semi-annual tournaments. Explain why Millonarios, having the same points as Nacional and Envigado, is occupying the first position? What is the mathematical justification for C炭cuta, Chic坦 and Quind鱈o to occupy the 9th, 10th and 11th position?