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Positive and Negative Numbers

kellymelissa avatar
kellymelissa
29 diapositives · 401 Views · Jan 04, 2020

Learn about positive, negative, opposite numbers, integers, and how they are used in different scenarios. Solve addition and subtraction problems with positive and negative integers, and understand integer addition rules. Use number lines to visualize adding integers.

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Positive and Negative Numbers
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  1. Positive and Negative Numbers by Monica Yuskaitis

  2. Definition • Positive number – a number greater than zero. 0 1 2 3 4 5 6

  3. Definition • Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  4. Definition • Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

  5. 7 -7 opposite Definition • Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero.

  6. Negative Numbers Are Used to Measure Temperature

  7. Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -10 -20 -30 -40 -50

  8. Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.

  9. Positive & Negative Numbers Working with positive and negative numbers is like driving in traffic. You have to watch the traffic signs and follow the driving rules.

  10. Hint • If you don’t see a negative or positive sign in front of a number it is positive. 9 +

  11. Integer Addition Rules • Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14

  12. Solve the Problems -8 11 • -3 + -5 = • 4 + 7 = • (+3) + (+4) = • -6 + -7 = • 5 + 9 = • -9 + -9 = 7 -13 14 -18

  13. Integer Addition Rules • Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the larger one in front of your answer. -9 + +5 = Larger number Answer = - 4 9 - 5 = 4

  14. Solve These Problems -2 5 – 3 = 2 3 7 – 4 = 3 • 3 + -5 = • -4 + 7 = • (+3) + (-4) = • -6 + 7 = • 5 + -9 = • -9 + 9 = -1 4 – 3 = 1 1 7 – 6 = 1 9 – 5 = 4 -4 9 – 9 = 0 0

  15. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line When the number is positive count to the right. When the number is negative count to the left. - +

  16. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line +3 + -5 = -2 + -

  17. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line +6 + -4 = +2 + -

  18. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line +3 + -7 = -4 + -

  19. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -3 + +7 = +4 - +

  20. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -5 + +3 = +4 - +

  21. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -2 + +8 = +6 - +

  22. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -5 + +2 = -3 - +

  23. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -4 + -2 = -6 - -

  24. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -2 + -3 = -5 - -

  25. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -1 + -4 = -5 - -

  26. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line -4 + -1 = -5 - -

  27. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line 4 + 1 = 5 + +

  28. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line 3 + 2 = 5 + +

  29. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 One Way to Add Integers Is With a Number Line 1 + 5 = 6 + +