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- 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. KEYWORDS POSITIVE SIGN (+) NEGATIVE SIGN (-) ADDITION (+) SUBTRACTION (-) GREATER THAN (>) LESS THAN (<)
- 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. • 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. 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. 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. EXAMPLE 125 ÷ (-5) + 6 × (-2) Solution:1) Solve the division or multiplication first 2) Then solve the addition = ( -25 ) + ( - 12 ) = -37
- 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. 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. 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. 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. TIPS +(+a) = +a -(-a)= +a +(-a)= -a -(+a)= -a See the symbols CAREFULLY
- 13. EXAMPLE Arrange the following fractions in ascending and descending order 1/6, -1/3, -3/8, 1/8, -3/4
- 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. 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. 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. 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. LET SEE THIS VIDEO…
- 19. SUMMARY
- 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. Instruction: Find the right answer Question 1 162 ÷ 9 ÷ 3 = A. 6 B. 12 C. 18 D. 54
- 22. Question 2(-8) [ 2 x (-3) x (-7) ] ÷ 4 = A. -84 B. 84 C. 24 D. 124
- 23. Question 34[8 + 0 x ( -4) ] - 6 = A. 0 B. 22 C. 26 D. 33
- 24. 013001 Question 4 -37- (-14) x ( -15) ÷ 10 = A. -58 B. 24 C. 45 D. 58
- 25. 1300110300113017 Question 5 (-4) x 9 x (-11) = A. -396 B.-99 C. 36 D. 396
- 26. EXERCISE
- 27. NEXT
- 28. NEXT
- 29. NEXT
- 30. CONGRATULATION !!! YOU HAVE ANSWERED ALL QUESTIONS CORRECTLYYOU ARE AN EXCELLENT LEANER NEXT

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