Wednesdayweek2

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Wednesdayweek2

  1. 1. • 1. Review: Prime Factorization, Solving One- Step Equations• 2. Objectives for 2.1
  2. 2. 1. Define the set of integers.The collection of positive whole numbers, the negativesof the whole numbers, and 0 is called the set of integers. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
  3. 3. The Number Line Algebra uses NEGATIVE and -5 -4 -3 -2 -1 0 1 2 3 4 5 POSITIVE numbers. The numbers in Algebra also uses Algebra uses all of red are the the numbers on numbers we have variables, or letters the number line, worked with so far. both positive and to represent the negative. unknown values.
  4. 4. 2. Graph integers on the number line. To graph a number means to make a drawing that represents the number.Graph -4,-2, 0, and3 on a -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10numberline.
  5. 5. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10• The arrows at both ends of the number line mean that the positive and negativenumbers go on forever. ZERO is neither•Positive numbers are to the right of zero. positive nor negative.•Negative numbers are to the left of zero.•A number on the number line is greater than any number to its left.•A number on the number line is less than any number to its right.
  6. 6.  Positive numbers do not have to be written with a plus sign.  Positive 8 is simply written as 8. Negative numbers MUST be written with a negative sign in front of them (-8)
  7. 7. I H A G C D E F J B-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 91. +6 J 5. 1 F 9. -5 C2. -3 D 10. 4 I 6. -6 G3. 9 B4. -8 7. 0 E A 8. - 9 H
  8. 8. 3. Use inequality symbols to compareintegers. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
  9. 9. 3. Use inequality symbols to compareintegers. false false true false
  10. 10. 4. Find the absolute value of an integer. Absolute Value is the distance from a number to zero on the number line. Absolute Value is neither positive or negative. The absolute value of -5 is 5 . What is the absolute value of -7?
  11. 11. 5. Find the opposite of an integer.The opposite of negative 5 is positive 5.
  12. 12.  Assignment 1 is due tomorrow and it would be a great use of you time to “get ‘er done”. If you’ve already finished, try working ahead on assignment #2.
  13. 13.  Adding Two SAME-Signed Numbers: Add and give the total of the signed numbers. (-5) + (-5) = -10 5 + 5 = 10 (-3) + (-2) = -5
  14. 14.  Adding when the signs are different: Subtract and keep the sign of the bigger number. 8 + (-15) Subtract : 15-8 =7 The sign of the larger number is negative So, the answer is -7
  15. 15.  Simplify (-9) + (10) + (-8) + (4) = Step 1: Add the positive numbers. Step 2: Add the negative numbers. Step 3: Add sums together.
  16. 16.  If you get confused, try not to get wrapped up in the WHY of all the rules. Sometimes some rules don’t make sense, but we accept that we must follow them anyway. You’ve been warned!
  17. 17.  Change the minus to plus and change the sign of the number on the right ONLY. Different Signs (-8) - (3)= -11 Same Signs (-8) - (-3)= -5
  18. 18.  To subtract signed numbers: Step 1: Change the sign of the number being subtracted. -8 Step 2: Follow the signs for adding signed numbers.
  19. 19.  This is where it gets weird. Step 1: To solve a series of Same signed numbers, start by changing the signs of numbers being subtracted. Step 2: Find the sum of the positive numbers. 6 + 4 = 10 Step 3: Find the sum of the -2+ (-5) = -7 negative numbers. Step 4: Find the difference. 10- 7 = 3 Follow the rules of addition.
  20. 20.  Subtraction: Add the opposite Addition: Different signs, subtract and keep the sign of the larger number Same signs, add and keep the sign
  21. 21. 1. -42. -23. 24. 4 Answer Now
  22. 22. 1. -92. -33. 34. 9 Answer Now
  23. 23. 1. 12 + 32. -12 + 33. -12 - 34. 12 - 3 Answer Now
  24. 24. 1. -92. -53. 54. 9 Answer Now
  25. 25. A negative times a negative is a A negative times a positive is apositive. negative.
  26. 26.  If you gain 2 pounds a week for 5 weeks, you will (+2)(+5) = +10 weigh 10 pounds more than you weigh now.  Step 1: Multiply.  Step 2: If same signs, make the product positive. If you lose 2 pounds a  Step 3: If different signs, make the week for 5 weeks, you will product negative. weigh 10 pounds less than you weigh now. (-2)(+5) = -10
  27. 27.  If you have been gaining 2 pounds a week for 5 weeks, (+2)(-5) = -10 you weighed 10 pounds less five weeks ago.  Step 1: Multiply.  Step 2: If same signs, make the product positive.  Step 3: If different signs, make the If you have been losing 2 product negative. pounds a week for 5 weeks, you weighed 10 pounds more 5 weeks ago. (-2)(-5) = +10
  28. 28.  What is (-6)(+2)(-4)? 48 Rule: Step 1: Multiply. Step 2: If there are even negative signs, the final product is POSITIVE. Step 2: If there are an odd number of negative signs, the final product is NEGATIVE.
  29. 29.  Step 1: Multiply. Step 2: If same signs, make the product positive. Step 3: If different signs, make the product negative.
  30. 30.  The rule for dividing is similar to the rules -5 for multiplying. Same signs = positive Different signs = negative
  31. 31.  The population of a small town is dropping at a rate of 255 people per year. How long will it take for the change in population to be 2,040 people?

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