8/6/2019 18301981 Chapter 1 Directed Numbers

1/9

Module PMR

CHAPTER 1 : DIRECTED NUMBER

A. Complete the following multiplication table.

x -8 -6 -4 -2 0 2 4-8

-6 36 -12

-4

-2

0 0

2 -16

4 16

B. Solving problems involving Combined Operations.

Example :-1 + 2 (- 3)= -1 + 2 + 3= 1 + 3= 4

1) 3 + ( - 3) ( - 5) 2) -18 3 + 5 ( - 6 )

3) 12 + 34 + (- 25 ) 15 4) -2 (- 5 )+( -4 )+(- 6 ) 5) -7 + 3 (- 2) + ( - 2 )

6) -13 (- 4 )+(-5) (-3) 7) 30 + 21 (-34 ) 8) -12 (-4 ) + 5 +(- 6 )

9) 5+( -3 ) ( -4 )+ (- 4 ) 10) - 8 - ( -3 ) + ( - 3 ) 11) - 3 + 2 - (-2) + (- 3)

12) 23 + 2 (- 3 ) + (- 4) 13) 5 + 3 (- 4 ) 14) CCC000 5)3(2 +

Directed Numbers 1

8/6/2019 18301981 Chapter 1 Directed Numbers

2/9

Module PMR

15) 14 (- 12) + (- 23) 16)-100 + (- 234) ( -34)

17) -2 (-3) + (-4) + 5

18) -12 + (-23) (- 3) 19)4 ( -3) + (- 6 ) + ( - 2 )

20) -5 + (- 3 ) ( - 4)

21) 42 3(5 + 3 x 4) 22) 45 3( 2 + 3 x 5) 23) 45 4 ( 2 8 4 )

24) 36 + 4(3 -2 2) 25) -20 + 3( -3 - 4 x 5 ) 26) -45 2( -5 + 3 x 3 )

27) ( 4 2 3) + 3 4 28) ( -2 -3 x 4) 3 + 4 29) ( - 4 5 x 3 ) + 4

30) (3 2 x 3)4 + 34 31) ( 5 6 3) 4 3 32) (-6 +3x 4)8 + 3 7

Directed Numbers 2

8/6/2019 18301981 Chapter 1 Directed Numbers

3/9

Module PMR

Common Errors

No Errors Correct Steps

1 (-2) + (-3)- (-4)

= -2-3-4=-9

=(-5)+4

= -1

2 (-4)x 9 (5)=-36 +5= -31

-36-5=-41

3 3

1+

5

2x ( -

3

10)

=155 +

156 x (-

1310 )

=15

11x (-

13

10)

=39

22

3

1+

5

2x ( -

3

10)

=31 -

134

=39

13-39

12

=39

1

4

-4 +

7

1

= -7

4+

7

1

= -7

3

-3

7

7+

7

1

= - 37

6

5 (-2.07x0.2) + 2.9= - 0.414 + 2.9=-0.604

=-0.414+2.9=2.486

6 (-7) x 8 x (-4)=(-56) x ( -4)= -224

= -56 x (-4)=224

7 (- 7

2) x (-

6

5) (-

3

1)

= -21

5+3

1

=(- 21

5

) + 21

7

= -21

2

21

5+

3

1

=21

5+

21

7

= 21

12

Directed Numbers 3

8/6/2019 18301981 Chapter 1 Directed Numbers

4/9

Module PMR

Questions based on PMR format

1) Calculate the value

of 6.0 )21

531( + and

express the answer asa decimal.

2) Calculate the value of

-5.2 (- )101

81 + and

express the answer asa decimal.

3) Calculate the value of

10

7

)

8

5(5

3and

express the answer as afraction in its lowestterm.

4) Calculate the value

of )25.0(2

13 + x 4.2

and express theanswer as a decimal.

5) Calculate the value of

( )3

22

2

13

6

51 and

express the answer as afraction in its lowestterms.

6) Calculate the value of

)2.4(8

34 + x (-0.6) and

express the answer indecimal

Directed Numbers 4

8/6/2019 18301981 Chapter 1 Directed Numbers

5/9

Module PMR

7) Calculate the value

of ( )3

21

6

12 x

7

21

and express your

answer as a fraction inits lowest term.

8) Calculate the value of

)13.2(4

31 + x (-0.4) and

express your answer in

decimals.

9) Calculate the value of

4

11 x )

4

3

5

21( and

express your answer as

a fraction in its lowestterm.

10) Calculate the value

of

3

11

5

21

4

11 and

express your answeras a fraction in itslowest term.

11) Calculate the value

of7

51

7

4

5

31

and

express the answer as afraction in its lowestterm.

12) Calculate the value

of

2

1

4

11

4

32 and

express the answer as afraction in its lowestterm.

Directed Numbers 5

8/6/2019 18301981 Chapter 1 Directed Numbers

6/9

Module PMR

13) Calculate the value

of4

11

8

13

8

3 and

express your answer

as a fraction in itslowest terms.

14) Calculate the value

of

3

21

4

13

12

51 and

express your answer asa fraction in its lowestterms.

15) Calculate the value

of -0.25 -

+

8

1

5

1and

express the answer as adecimal in 2 decimalplaces.

16) Evaluate114 4 (14 + 54 9 )

17) Calculate the value

of 9

4

)027.0(8

1

64

3

and express youranswer as a decimal in2 decimal places.

18) Calculate the value

of 3

2

13

1

14

1

3

+ andexpress your answer asa fraction in its lowestterm.

Directed Numbers 6

8/6/2019 18301981 Chapter 1 Directed Numbers

7/9

Module PMR

19) Evaluate

3.6 - [ 0.12 X (-6)]20) Calculate the value

of 19 (- 1.2) 8

3

21) Calculate the value

of

3

2

8

7

5

31 and

express the answer as afraction in its lowestterm.

PMR past year Questions

2004

1. Calculate the value of5

32

5

2

3

12

and express the answer as a

fraction in its lowest term.

[2m]

2. Calculate the value of -0.8 -

+

5

1

2

1and express the answer as a

decimal.[2m]

2005

3. Calculate the value of 96 3 (12 + 48 6 )[2m]

Directed Numbers 7

8/6/2019 18301981 Chapter 1 Directed Numbers

8/9

Module PMR

4. Calculate the value of 4.26 0.8 -

2

11 and express the answer

correct to two decimal places. [2m]

2006

5. Calculate the value of 14 - ( )3

26.0 [2m]

6. Calculate the value of

32

54

811 and express the answer as a fraction

in its lowest term. [2m]

2007

7. Calculate the value of - 24 8 - 14 [2m]

8. Calculate the value of9.0

18.04[2m]

2008

9. Calculate the value of

3

1

5

3

2

5and express the answer as a fraction

in its lowest term.[2m]

Directed Numbers 8

8/6/2019 18301981 Chapter 1 Directed Numbers

9/9

Module PMR

CHAPTER 1 : DIRECTED NUMBERSANSWERS

B. Solving problems involving Combined operations

Q A Q A Q A Q A

1 5 9 2 17 2 25 -89

2 -10 10 -8 18 -32 26 -53

3 6 11 -2 19 -1 27 -2

4 -7 12 24 20 -4 28 -13

5 -4 13 12 21 -9 29 -15

6 -11 14 6c 22 -6 30 22

7 85 15 3 23 45 31 9

8 -9 16 -300 24 44 32 44

Questions based on PMR format

Q1 -2.7 Q8 2.602 Q15 -0.18

Q2 -5.175 Q916

13Q16 34

Q37

4Q10 Q17 0.39

Q4 2.45 Q115

3Q18

4

32

Q511

5Q12

5

24 Q19 4.32

Q6 6.895 Q13

20

3Q20 22.2

Q714

9Q14

19

17Q21

3

1

Past year Questions

Q139

29Q4 4.91 Q7 -17

Q2 -0.5 Q5 14.9 Q8 0.8

Q3 36 Q6203 Q9

32

Directed Numbers 9

12

1