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Interesting-Integers.ppt.pptx
- 2. IN THIS LESSON WE WILL EXPLORE... Some definitions related to integers. Rules for adding and subtracting integers. Are you ready??
- 3. DEFINITION Positive number a number greater than zero. 0 1 2 3 4 5 6
- 4. DEFINITION Negative number a number less than zero. 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
- 5. DEFINITION Opposite Numbers numbers that are the same distance from zero in the opposite direction 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6
- 6. DEFINITION Integers Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7
- 7. DEFINITION Absolute Value The size of a number with or without the negative sign. The absolute value of 9 or of 9 is 9.
- 8. NEGATIVE NUMBERS ARE USED TO MEASURE TEMPERATURE
- 9. NEGATIVE NUMBERS ARE USED TO MEASURE UNDER SEA LEVEL 0 10 20 30 -10 -20 -30 -40 -50
- 10. NEGATIVE NUMBERS ARE USED TO SHOW DEBT Lets 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.
- 11. REAL LIFE APPLICATIONS OF INTEGERS
- 12. HINT If you dont see a negative or positive sign in front of a number it is positive. 9
- 13. INTEGER ADDITION RULES Idea#1 If the signs are the same, you could pretend the signs arent there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14
- 14. SOLVE THE PROBLEMS -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 =
- 16. 1. 8 + 13 = 2. 22 + -11 = 3. 55 + 17 = 4. 14 + -35 = SOLVE THE PROBLEMS
- 17. INTEGER ADDITION RULES Rule #2 If the signs are different you could pretend the signs arent there. Subtract the smaller from the larger one and put the sign of the one with the larger absolute value in front of your answer. -9 + 5 = -4 9 - 5 = 4
- 18. Copy the sign
- 19. SOLVE THESE PROBLEMS 3 + -5 = -4 + 7 = (+3) + (-4) = -6 + 7 = 5 + -9 = -9 + 9 =
- 21. 1. 12 + 22 = 2. 20 + 5 = 3. 14 + (-7) = 4. 70 + 15 = SOLVE THESE PROBLEMS
- 22. ANOTHER WAY TO ADD INTEGERS IS WITH A NUMBER LINE 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 When you are adding, count to the right. When you are subtracting, count to the left. + -
- 23. ONE WAY TO ADD INTEGERS IS WITH A NUMBER LINE 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + - 3 + -5 = -2
- 24. ONE WAY TO ADD INTEGERS IS WITH A NUMBER LINE 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + - 6 + -4 = 2
- 25. ONE WAY TO ADD INTEGERS IS WITH A NUMBER LINE 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 + - 3 + -7 = -4
- 26. ONE WAY TO ADD INTEGERS IS WITH A NUMBER LINE 0 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 - + -3 + 7 = 4
- 27. Integer Subtraction Rule Subtracting a negative number is the same as adding a positive. Change the signs and add. 2 (-7) is the same as 2 + (+7) 2 + 7 = 9
- 28. Here are some more examples. 12 (-8) 12 + (+8) 12 + 8 = 20 -3 (-11) -3 + (+11) -3 + 11 = 8
- 30. 1. 8 (-12) = 2. 22 (-30) = rt 3. 17 (-3) = 4. 52 5 = SOLVE THESE PROBLEMS