1.2 Operations With Rational Numbers Formulas Page 22 How do you use this to convert 350º F?

1.2 Operations With Rational Numbers

Formulas

Page 22

C 5

9(F 32)

How do you use this to convert 350º F?


Discover the Math

Page 22

1 a) Evaluate

i) -2 x 4 ii) -9 ÷ 3 iii) -18 ÷ (-6) iv) 10 x (-2)

• When you multiply or divide two integers with the same sign the result is …………………….

• When you multiply or divide two integers with different signs the result is …………………….


Discover the Math

Page 23

2 a) Evaluate. Will the answer be negative or positive?

a) -3.0 x 0.8 b) -3.6 ÷ 0.9

c) -3.0 ÷ (-0.5) d) 2.0 x (-0.25)

3. Rewrite each expression in question 2 using fractions and evaluate


Part B Mental math Strategies

Page 23

1. Calculate using mental math strategies.

a) 241 +353 b) 7.55 +2.45 c) 3528 ÷ 7

d) 12 41

2e) 3

7

9 1

1

2 4

2

9f ) 8 18

j) 42 8

g) 4 26 250 h) 2.25 44 i) 5 21

3

k) 124 81 l) 24 22

8


Part B Mental math Strategies

Page 23

4. Explain how you can mentally evaluate in two different ways

8 31

2


Part C Estimation Strategies

Page 23

4. Estimate. Explain or show how you got your answer.

a)475

9.97

e)2650

99

f ) 3016 2973 3025 2985

d) 3.71 8.99 5.18

b) 204 37 c) 458 906 341


Page 24

a) 1

2

5.3

1

2

4.7

b) 1

312

5

6

8

9


Page 24

c)

1

4(3.46 4.59)

5(7.87 1.42)

d) 1

1

4 (

7

4)

(0.5)2 0.05

2.41 4.56

323.6

0.96


Example 2 Apply Rational Numbers (Stock market)

Page 25

466 95

89

1

49

3

8

1

4

Stock Sales (100’s) High($) Low($) Close($) Net change

Matrix

1.2 Communicate the Key Ideas

1. Which mental math strategy would you use?

Page 26

a) 2 41

3b) 1

2

7 4

1

4 3

5

7c) 3.25 88

2. Steve’s Problem

3

4

51

3

10

2

21

3 8

6

What is the first step?What could he do next?

1.2 Check Your Understanding

Page 27

A) [( 11) ( 7)] 2.5

# 1 Evaluate. Use mental math as much as possible


Page 27

A) [( 11) ( 7)] 2.5


4 2.5 1.5


Page 27

B) 2( 8.25 2.75)

31

23

4



Page 27

B)

2( 8.25 2.75)

31

23

4

2( 5.5)

31

24

3

11

34

6

= = = 1112

6

11

2=


Page 27


[( 6.5) ( 2)] 4C)


Page 27


[( 6.5) ( 2)] 4

( 8.5) 4

4.5

C)


Page 27


D) 2

1

3

4

61

6 1

2

1


Page 27


D)

2

1

3

4

61

6 1

2

1

= ==

= 2

1

3

6

41

6 2

1

1

2

6

122

6

1 21

2

1

3

1

Page 27

= 21

2

1

3

1

21

2

3

1

1=

23

2

1=

6

21

=

=

3 1

4=


Page 27

# 2 Evaluate each expression. Show your work.

3

8

5

7

3

8

7

5

21

40

2. A


Page 27


11

12 2

9

11

B)


Page 27


11

12 2

9

11

B)

11

12

31

11

31

12

12

12

12

12

7

122

7

12

Page 27

621

6

15

24

3

4

c)

621

6

15

24

3

4c)


Page 27

621

6

15

24

3

4c)

67

2

5

8

3

4

628

8

5

8

3

4

633

8

3

4

621

6

15

24

3

4c)

684

24

15

24

3

4

699

24

3

4

594

24

18

24

Page 27

c) 633

8

3

4

198

8

6

8

192

8

594

24

18

24

576

24

24

24


Page 27


d) 4[0.98 ( 1.02)]2


Page 27


d)

16

4[0.98 ( 1.02)]2

4[2]2

4(4)


Page 27

# 3 Exact or estimate? Explain

a) An exact number is required in order to compare the two students.

b) An exact number is required in order to compare the two students.

c) An exact number is required in order to compare the two students.


# 4 Costa and the old math book.

1

2 1

1

3 1

1

4 1

1

5 1

...

1

n 1

1

2 1

1

2


Page 27

# 4 Costa and the old math book.

1

2 1

1

3 1

1

4 1

1

5 1

...

1

n 1

1

2 1

1

2

1

2 1

1

3 1

1

2

2

3

1

3


Page 27

# 4 iii Costa and the old math book.

1

2

2

3

3

4

1

4

1

2 1

1

3 1

1

4 1


Page 27

# 5 Daffodil Campaign

5

87500

8 7500937.5

1

8937.5

5

84687.5

So far $4687.5 has been raised for this daffodil campaign


Page 28

1

2

0

1

2

11

2

6. Complete the Magic Square

a)


6. Complete the Magic Square

0.8

0

2.0 1.2

b)

Page 28


Page 28

8. Skill testing question

“Take 15, multiply it by one-half, add three, and subtract two and one-half.”

Write an expression for this equation. Is this just a trick?


page 28

163

8 15

5

815

11

8 15

5

8

6

8

3

4

3

4200 150

Tomas would have made $150 if he sold the

200 shares at the highest price of the day.

9. Celetica Stocks


Page 28

10. Write problems based on question 9 using each expression.

a) 150 927

8

b) 300(901

4 96)

c)5

8225


Page 29

11. Use decimals for question 11.


Page 29

12. Use exactly four 4s to get 0-50. Answers must be exact


Page 29

13. Formula for the area of a trapezoid is

Ah

2(a b)

a

h

b

If a = 3.5 units and b = 4.4 units, draw a graph of the area of the trapezoid as the height increase from 1 to 5 units.What pattern do you see?


Page 29

# 15 Evaluate without a calculator.

2 1

2 1

2 12


Page 29

# 15 Evaluate without a calculator.

2 1

2 1

2 12

2 1

2 1

212

1 21

21

5

21

2

5


Order of Operations

1. 5 3 2 8 3 232.

7 5 33. 4 3 24.

5. 36 4 22 5 6 2 36.

3 4 3 47. 8 6 28.

Page

Grade 9 Math

October 2007

Order of Operations

9. 12 7 6 12 5 610.

14 10 511. 20 5 312.

13. 23 5 6 3 8 2 6214.

3 4 3 415. 8 6 216.

Grade 9 MathOctober 2007

Order of Operations

1. 2 32 4 5 32 8 2 • 8• 22.

815 • 49 72 3. 16 • 5 12 • 5 4 • 54.

Grade 9 MathOctober 2006

Order of Operations

5. 180

55• 11• 5 11• 180 55 • 56.

54 7 28 7 25 77. 12

42 248.

ORDER OF ARITHMETIC OPERATIONS B1/10/12

Evaluate each expression. No calculator.

1. 4 + 3 - 8 + 2 2. 5 + 2 x 6

3. 18 - 5 x 2 4. 8 + 3 x 10

5. 7 + 3 x 5 - 11 6. 9 x 0 + 1 x 8 - 2 x 3

7. (11 - 5) x 3 8. 3 (5 + 2 - 1)

9. 2 x 5 + 7 x 2 - 6 x 3 10. 3 (27 + 2 - 4)

11.2 + 4 (10 - 2) 12. ( 10)(18 ÷ 9 + 1 )

13. 50 ((41 + 3 ) ÷ 11) 14. 3 (12 + 3) - 9 x 4

15 32 - 2 2 + 1 16. 23 - 2 2 + 2

17. ( 11 ) (27 - 5) + 4 18. 32 - 2 (3 + 1)

19.( )(10 - 1) + ( 5 )(9 - 4) 20. 48 ÷ 6 ÷ 3 -

21.62 - 5 2 + 42 - 3 2 22. 3 3 + 22 + 12

23. 30 - 6 24. 2 x 4 x 5 x 6 4 x 2 12 x 2

25. 11 - 2 x 3 26. 3 x 4 + 6 x 8 - 2 x 3 2 x 5 2 x 3

27. 10 x 6 - 2 x 10 + 8 x 5 27. (8 ÷ 8 ) (5 ÷ 5) (18) 3 x 3 20 - 2

1. 4 3 8 2

3. 18 5 2

2. 5 2 6

4. 8 3 10

5. 7 35 11

7. 11 5 3

6.

9 0 1 8 2 38.

3 5 2 1)

9. 6 5 7 2 113 4

11. 2.1 4.0 3.2 1.6

10. 0.3 2.5 1.7 3.2

12.2

3

18 7 1

3

2

13. 1.30 0.04 2.13 1.07

15. 32 22 11

14.

23 22 216.

3 14 3 9 4

17.1

217 5 4

19.

2

310 1

1

319 4

18.

15 3 3 10 20.

32 2 3 1

21. 62 52 42 32 22 12

23.

30 6

4 2

22.

3 4 5 6

8 924.

33 23 13

25.4 2 3

2 5

28.

(24 8)(5 2)(8 7)

5 2

26. 3 4 6 8 2 3

2 3

27.4 6 2 3 9 24

2 3

1. 0.4 3 8 ( 0.02)

3. 18 0.05

2. 25 0.2 • ( 6)

4. ( 8 ( 3)) 0.1

5. 7.5 3 ( 5) 1.1

6. 19 0 2 0.8 2 0.3

Order of operation 2

7. 25000 0.01 ( 7)

9. 6 5 7 2 113 4

8. 0.1• (75% 44)

10. 0.5 • 2.5 10 1.5 11. (14 0.1) ( 8.6 1.6)

12.2

5

48 9 16

Order of operation 2

2

3

5

7

1

2

Oct 10

2

3

5

7

1

2Oct 10

2. Page 27

2d. Page 27

3. Page 27

4. Page 27

5. Page 27

5. Page 28

5

87500

8 7500937.5

1

8937.5

5

84687.5

So far $4687.5 has been raised for this daffodil campaign

page 28

page 28

9.a) page 28

2 1

2 1

2 12

page 28

15. Find the value of the expression. No calculator.

a)

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1.2 Operations With Rational Numbers Formulas Page 22 How do you use this to convert 350º F?

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