1. CHAPTER 1 DIRECTED NUMBERSSubtopics in this chapter:1.1 Multiplication and division of integers1.2 Combined operations(Addition, Subtraction, Multiplication andDivision)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 ( 0) is a positive fractioneg: , 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--------l---------l---------l---------l---------l----------l---------l------- -3/4-1/2 -1/40 -ve fractionzero+ve fraction 10. A fraction is always greater than thefraction to its left For example : is greater than -1/4 is greater than -1/2 is greater than -1/4 11. A fraction is always less than the fraction toits right For example : is less than -1/2 is less than -1/4 -1/4 is less than 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, -3/4i) The LCM of 3, 4, 6,and 8 is 24.ii) Change the fractionto their respectiveequivalent fractionswith the denominatorof 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. 1.4POSITIVE AND NEGATIVE DECIMALS A decimal with a value greater than zero is apositive decimal such as 0.21, 7.89, 9.54, 8.74, A decimal with a value less than zero is a negativedecimal such as -0.05, -4.45, -9.90, -3.54, 16. COMPARE AND ORDER DECIMAL0 ---l------------l-------------l-------------l------------l----2.22 -1.11 0.001.112.22 negative decimal zeropositive decimalDID YOUAscending means increasingKNOW??? Descending mean decreasing 17. 1.5COMPUTATIONS INVOLVING DIRECTED NUMBERS As integers, computation involving directed numbers follow the BODMAS rule.a)Involving two directed numbersEg:4/5 (8.2)solution:= - (4/5 82/10)= -328/50= - 6/14/25b) Involving the combination of two or more operations on directednumbersEg:[ 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 anddivision of integers? Can you perform computation and solve the probleminvolving combined operation of integers? Can you compare, order and perform computationinvolving fraction and decimals? Can you perform computations involving combinedoperations of directed numbers? Can you pose and solve problems involving directednumbers. 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. 24D. 124 23. Question 34[8 + 0 x ( -4) ] - 6 =A. 0B. 22 C. 26 D. 33 24. 013001 Question 4-37- (-14) x ( -15) 10 = A. -58B. 24C. 45D. 58 25. 1300110300113017 Question 5(-4) x 9 x (-11) = A. -396B.-99C. 36 D. 396 26. EXERCISE 27. NEXT 28. NEXT 29. NEXT 30. CONGRATULATION !!!YOU HAVE ANSWEREDALL QUESTIONSCORRECTLYYOU ARE AN EXCELLENT LEANERNEXT