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Integers ppt
The document explains the concept of integers, which are positive and negative whole numbers, as well as the four basic operations: addition, subtraction, multiplication, and division. It outlines the rules for performing these operations with integers, including how to handle signs and provides practice problems. Additionally, it highlights that the rules for multiplication also apply to division.
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Integers ppt
- 1. INTEGERSINTEGERS By: Andrea Bonde& Slideshare.net
- 2.
- 3. • An integeris a positive or negative whole number, including 0. …-3, -2, -1, 0, 1, 2, 3… Whole Number: Any number over 1.
- 4. There are “4” Integer Operations JUST LIKEIN ALL MATH!
- 6. 4 Integer Operations •Addition + • Subtraction - • Multiplication x • Division ÷
- 7. Rules For Integers •When Signs are the same, add the numbers! -5 - 1 = 5 + 1 • Answer gets the sign of the larger number. 5 is the largest number it’s sign is a (-). Answer is -6.
- 8. Rules For Integers •When Signs are the different subtract the numbers. -5 + 1 = 5 - 1 • Answer gets the sign of the larger number. 5 is the largest number it’s sign is a (-). Answer is -4.
- 9. Let’s Practice 1) 5- 6 = 2) -3 + 2 = 3) 6 + 5 = 4) -8 + 7 = 5) 9 - 9 = 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
- 10. Rules for Integers •When Parenthesis ( ) are involved we get to doodle! • This is where you need to draw some faces. (Bet you didn’t know you’d be doing Art in Math!)
- 11. 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) = 4 5 – (-1) = 6 5 + (+5) = 10 - + +
- 12. Let’s Practice 1) 4– (-5) = 2) 9 + (-7) = 3) 6 – (+2) = 4) 8 – (-7) = 5) 9 + (+3) = 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 6 15 12 + - + - +
- 13. Let’s Practice Cont. 1)5 + (-2) = 2) 3 – (-4) = 3) 1 – (+2) = 4) 5 – (-3) = 5) 7 – (-6) = 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! - + + - + 3 7 -1 8 13
- 14. 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.
- 15. Rules Summary for Multiplication •Positive x Positive = Positive • Negative x Negative = Positive • Positive x Negative= Negative • Negative x Positive = Negative
- 16. Let’s 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
- 17. Did you knowthat the rules for multiplication and division are the same?
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- 19. The rules fordivision 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.
- 20. Rules for Dividing Integers(÷) • The quotient of two integers with the same signs is POSITIVE. • The quotient of two integers with different signs is NEGATIVE.
- 21. Rules Summary for Division •Positive ÷ Positive = Positive • Negative ÷ Negative = Positive • Positive ÷ Negative= Negative • Negative ÷ Positive = Negative
- 22. Let’s Practice “Division” 1)18 ÷ (-2) = 2) -48 ÷ (-6) = 3) -27 ÷ 9 = 4) 64 ÷ 8 = 5) 30 ÷ (-5) = -9 8 -3 8 -6 Remember: Positive ÷ Positive = Positive Negative ÷ Negative = Positive Positive ÷ Negative= Negative Negative ÷ Positive = Negative
- 23.
- 24. What is aninteger?
- 25. ANSWER • An integeris a positive or negative whole number, including 0.
- 26. Can you givean example of an integer?
- 27. ANSWER • …-3, -2,-1, 0, 1, 2, 3…
- 28. What are thefour operations?
- 29. ANSWER • The fouroperations are: addition, subtraction, multiplication, and division.
- 30. When signs arethe same you?
- 31. ANSWER • Add thenumbers • Answer gets sign of the larger number.
- 32.
- 33. ANSWER • You subtractthe numbers • Answer gets sign of the larger number.
- 34. How do youmultiply integers?
- 35. ANSWER • If thesigns are the same, your answer is always positive. • If the signs are different, your answer is always negative.
- 36. How do youdivide integers?
- 37. ANSWER • If thesigns 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!