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CHAPTER 1 DIRECTED NUMBERS 1.1 Multiplication and Division of Integers. Multiplication Division 1. 5 x 3 = 15 1. 6 ÷ 3 = 2 2. 5 x (-3) = -15 2. 6 ÷ (-3) = -2 3. (-5) x 3 = -15 3. (-6) ÷ 3 = -2 4. (-5) x (-3) = 15 4. (-6) ÷ (-3) = 2 5. (-5) x 0 = 0 5. (-6) ÷ 0 = undefined 6. 5 x 0 = 0 6. 0 ÷ (-6) = 0 7. 0 ÷ 0 = undefined 1.2 Combined operations on Integers. 1. Order of arithmetical operations. ( ) , ÷ , x , + , Example: (a) 11 – 22 + 33 (b) 12 x (-3) ÷ (-6) = = 1.3 Positive and Negative Fractions. 1. Number line Example: i) (-8 1 3 ) + 3 2 5 ii) (-3 2 3 ) x 5 = = iii) 5 2 3 – (-3 1 2 ) iv) (-3 2 3 ) ÷ 5 = = 1.4 Positive and Negative Decimals. - - 3 - 1 - 1 1 1 3 1 0 Negative Fractions Positive Fractions Zero - 0 Negative Decimals Positive Decimals - - - - 0.1 0.2 0.3 0.4 0.5

Chapter 1 Directed Numbers

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CHAPTER 1 DIRECTED NUMBERS1.1 Multiplication and Division of Integers.MultiplicationDivision1. 5 x 3 = 151. 6 3 = 22. 5 x (-3) = -152. 6 (-3) = -23. (-5) x 3 = -153. (-6) 3 = -24. (-5) x (-3) = 154. (-6) (-3) = 25. (-5) x 0 = 05. (-6) 0 = undefined6. 5 x 0 = 06. 0 (-6) = 07. 0 0 = undefined

1.2 Combined operations on Integers.1. Order of arithmetical operations.( ) , , x , + ,

Example:(a) 11 22 + 33(b) 12 x (-3) (-6) = =

1.3 Positive and Negative Fractions.1. Number line

01 - - - -1

Positive FractionsNegative Fractions

ZeroExample:i) (-8 ) + 3 ii) (-3 ) x 5 = =

iii) 5 (-3 )iv) (-3 ) 5 = =

1.1 1.2 1.3 1.4 Positive and Negative Decimals.

0.50.40.30.20.10-0.1-0.2-0.3-0.4-0.5

Positive DecimalsNegative Decimals

Zero

1.5 Computation involving directed numbers.i) 0.75 + (- )ii) -2.5 (- ) = =

iii) [ 36 + 5 x (-4)] (-8) =