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Form 1 Mathematics Chapter 1

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1 Form 1 Mathematics Chapter 1
Directed Numbers Form 1 Mathematics Chapter 1

2 Introduction to Directed Numbers
Numbers have two parts: Size or Magnitude Sign or Direction In the figure: – 4 F

3 The Four Basic Operations
Addition: Say “3 plus 7” or “The sum of 3 and 7” or “Add 3 to 7” Subtraction: 3 – 7 Say “3 minus 7” or “The difference of 3 and 7” or “Subtract 7 from 3” Multiplication: 3 × 7 Say “3 times 7” or “The product of 3 and 7” or “Multiply 3 and 7” Division: 3 ÷ 7 Say “3 divided by 7” or “The quotient of 3 and 7” or “Divide 3 by 7”

4 Rules to Remember (p.1.39) ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + )
( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) 正正得正 負負得正 正負得負 負正得負

5 Addition and Subtraction
+3 + (+9) = ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = 12 –7 + (+12) = –7 + 12 = 5

6 Addition and Subtraction
+3 + (– 9) = 3 – 9 ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = – 6 7 – (+12) = 7 – 12 = – 5

7 Addition and Subtraction
– 6 + (– 7) = – 6 – 7 ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = – 13 – 3 – (+3) = – 3 – 3 = – 6

8 Addition and Subtraction
7 – (– 7) = ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = 14 – 3 – (–3) = – 3 + 3 = 0

9 Rules to Remember (p.1.39) ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + )
( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) 正正得正 負負得正 正負得負 負正得負

10 Multiplication 3  4 = 12 2  4 = 8 1  4 = 4 0  4 = 0 – 1  4 = ?
3  4 = 12 2  4 = 8 1  4 = 4 0  4 = 0 – 1  4 = ? – 2  4 = ? ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) – 4 – 8

11 Multiplication 3  (– 5) = – 15 2  (– 5) = – 10 1  (– 5) = – 5
3  (– 5) = – 15 2  (– 5) = – 10 1  (– 5) = – 5 0  (– 5) = 0 – 1  (– 5) = ? – 2  (– 5) = ? ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) 5 10

12 Multiplication (+ 7)  (+ 7) = 7  7 = 49 (– 8)  3 = – 8  3 = – 24
= 7  7 ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = 49 (– 8)  3 = – 8  3 = – 24 Same as (– 8) + (– 8) + (– 8) = (– 24)

13 Multiplication 4  (– 2) = – (4  2) = – 8 (– 8)  (– 7) = + (8  7)
= – (4  2) ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = – 8 (– 8)  (– 7) = + (8  7) = 56 Note: (– 8)  (– 7) = (– 8) (– 7)

14 Rules to Remember (p.1.39) ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + )
( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) 正正得正 負負得正 正負得負 負正得負

15 Division (+ 7)  (+ 7) = 7  7 = 1 (– 9)  3 = – 9  3 = – 3
= 7  7 ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = 1 (– 9)  3 = – 9  3 = – 3 Note: (– 9) = (– 3) + (– 3) + (– 3)

16 Division 4  (– 2) = – (4  2) = – 2 (– 12)  (– 6) = + (12  6) = 2
= – (4  2) ( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) = – 2 (– 12)  (– 6) = + (12  6) = 2

17 Time for Practice Page 1.36 of Textbook 1A Page 1.37 of Textbook 1A
Class Practice Page 1.37 of Textbook 1A Questions 4 – 17

18 Reminder Extra Tutorial Standard Homework Quiz (Chapter 1)
26 Sep (Tue) 3 students (Must come) Standard Homework 1-B1: 26 Sep (Tue) 1-C1: 29 Sep (Fri) STAR: 29 Sep (Fri) Quiz (Chapter 1) 4 Oct (Wed)

19 Enjoy the world of Mathematics!
Good Luck! Enjoy the world of Mathematics! Ronald HUI


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