Power point (Tugasan Teknologi Pendidikan)

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Power point (Tugasan Teknologi Pendidikan)

  1. 1. CHAPTER 1 DIRECTED NUMBERSSubtopics in this chapter:1.1 Multiplication and division of integers1.2 Combined operations (Addition, Subtraction, Multiplication and Division)1.3 Positive and Negative Fractions1.4 Positive and Negative Decimals1.5 Computations involving Directed Numbers
  2. 2. KEYWORDS POSITIVE SIGN (+) NEGATIVE SIGN (-) ADDITION (+) SUBTRACTION (-) GREATER THAN (>) LESS THAN (<)
  3. 3. 1.1 MULTIPLICATION AND DIVISION OF INTEGERS Learning Outcome : a) Multiply integers and solve problems involving of multiplication of integers. b) Divide integers and solve problems involving division of integers.
  4. 4. • The positive numbers such as 1, 2, 3, 4, …. arepositive integers.• The negative numbers such as -1, -2, -3, -4, …. arenegative integers. MULTIPLICATION DIVISION (+ ) × (+) = (+) (+ ) ÷ (+) = (+) (- ) × (-) = (+) (- ) ÷ (-) = (+) (+ ) × (-) = (-) (+ ) ÷ (-) = (-) (- ) × (+) = (-) (- ) ÷ (+) = (-) LIKE SIGNS ARE +VE INTEGERS UNLIKE SIGNS ARE –VE INTEGERS
  5. 5. EXAMPLES1) 6×(-7) × (-2) TIPS !!!Solution: the +ve sign is usually =6×(14) omitted =84 +30 is written as 302)-27 ÷ 9 ÷ 3 !!!Solution: a×b=b×a =-3 ÷ 3 =-1
  6. 6. REMEMBER!!! B O D M A S () of ÷ × + - To perform computations involving combined operations, youmust abide by BODMAS rule. Calculation within brackets must be performed first, followedby division or multiplication, then addition or subtraction, fromleft to right.
  7. 7. EXAMPLE 125 ÷ (-5) + 6 × (-2) Solution:1) Solve the division or multiplication first 2) Then solve the addition = ( -25 ) + ( - 12 ) = -37
  8. 8. 1.3 POSITIVE AND NEGATIVE FRACTION  +ve (Positive Fraction) A fraction with a value greater than zero ( > 0) is a positive fraction eg: ½, 2/5, 6/5, 1/6, …  -ve (Negative Fraction) A fraction with a value less than zero ( < 0 ) is a negative fraction eg: -1/3, -5/6, -9/10, -4/7, …
  9. 9. Compare and Order Fraction <0 >0--------l---------l---------l---------l---------l----------l---------l------- -3/4 -1/2 -1/4 0 ¼ ½ ¾ -ve fraction zero +ve fraction
  10. 10.  A fraction is always greater than the fraction to its left For example : ½ is greater than ¼ -1/4 is greater than -1/2 ¼ is greater than -1/4
  11. 11.  A fraction is always less than the fraction to its right For example : ¼ is less than ½ -1/2 is less than -1/4 -1/4 is less than ¼
  12. 12. TIPS +(+a) = +a -(-a)= +a +(-a)= -a -(+a)= -a See the symbols CAREFULLY
  13. 13. EXAMPLE Arrange the following fractions in ascending and descending order 1/6, -1/3, -3/8, 1/8, -3/4
  14. 14. Solution :1/6, -1/3, -3/8, 1/8, -3/4 i) The LCM of 3, 4, 6, and 8 is 24. ii) Change the fraction to their respective equivalent fractions with the denominator of 24. Ascending order : -3/4, -3/8, -1/3, 1/8, 1/6 Descending order : 1/6, 1/8, -1/3, -3/8, -3/4
  15. 15. 1.4 POSITIVE AND NEGATIVE DECIMALS  A decimal with a value greater than zero is a positive decimal such as 0.21, 7.89, 9.54, 8.74, …  A decimal with a value less than zero is a negative decimal such as -0.05, -4.45, -9.90, -3.54, …
  16. 16. COMPARE AND ORDER DECIMAL <o >0 ---l------------l-------------l-------------l------------l--- -2.22 -1.11 0.00 1.11 2.22 negative decimal zero positive decimalDID YOU Ascending means increasingKNOW??? Descending mean decreasing
  17. 17. 1.5 COMPUTATIONS INVOLVING DIRECTED NUMBERS  As integers, computation involving directed numbers follow the BODMAS rule. a) Involving two directed numbers Eg: 4/5 × (8.2) solution: = - (4/5 × 82/10) = -328/50 = - 6/14/25 b) Involving the combination of two or more operations on directed numbers Eg: [ 55 + (-37)] × 6 solution: = 18 × 6 = 108
  18. 18.  LET SEE THIS VIDEO…
  19. 19. SUMMARY
  20. 20. SKILL CHECKLIST Can you multiply and divide integers? Can you solve problem involving multiplication and division of integers? Can you perform computation and solve the problem involving combined operation of integers? Can you compare, order and perform computation involving fraction and decimals? Can you perform computations involving combined operations of directed numbers? Can you pose and solve problems involving directed numbers.
  21. 21. Instruction: Find the right answer Question 1 162 ÷ 9 ÷ 3 = A. 6 B. 12 C. 18 D. 54
  22. 22. Question 2(-8) [ 2 x (-3) x (-7) ] ÷ 4 = A. -84 B. 84 C. 24 D. 124
  23. 23. Question 34[8 + 0 x ( -4) ] - 6 = A. 0 B. 22 C. 26 D. 33
  24. 24. 013001 Question 4 -37- (-14) x ( -15) ÷ 10 = A. -58 B. 24 C. 45 D. 58
  25. 25. 1300110300113017 Question 5 (-4) x 9 x (-11) = A. -396 B.-99 C. 36 D. 396
  26. 26. EXERCISE
  27. 27. NEXT
  28. 28. NEXT
  29. 29. NEXT
  30. 30. CONGRATULATION !!! YOU HAVE ANSWERED ALL QUESTIONS CORRECTLYYOU ARE AN EXCELLENT LEANER NEXT

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