unit 2: powers - ms pempengco's class site · 2018. 11. 15. · grade 9 math (10f) unit 2...

Unit 2: Powers Workbook

Name: ______________________

Grade 9 Math (10F) Unit 2 Powers Workbook Name: ___________

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Adapted from Math Makes Sense 9 T2


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Unit Assignment Tracker

Assignment Name Date

Assigned Date Due

Completed (Yes/No)

Score


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Assignment Name Date

Assigned Date Due

Completed (Yes/No)

Score


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Vocabulary: Three-Point-Approach

Math Term: __________________________

Definition:

Example

Representation

Correct definition Met Not yet

Definition in own words Met Not yet Correct example that demonstrates the

term. Met Not yet

A correct representation that

demonstrates the term.

Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet

Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Math Term: __________________________

Definition:

Example

Representation



term. Met Not yet



Met Not yet


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Warm-Up

Multiplying Integers

1. Will the product be positive or negative?

a) 7 x 4 ____________ b) 3 x (-6) _____________

c) (-9) x 10 ____________ d) (-5) x (-9) _____________

2. Multiply.

a) 7 x 4 = _____ b) 3 x (-6) = _____

c) (-9) x 10 = _____ d) (-5) x (-9) = _____

e) (-3) x (-5) = _____ f) 2 x (-5) = _____

g) (-8) x 2 = _____ h) (-4) x 3 = _____

Multiplying More than Two Integers

3. Multiply.

a) (-3) x (-2) x (-1) x 1 = _____ b) (-2)(-1)(-2)(-2)(2) = _____

c) (-2)(-2)(-1)(-2)(-2) = _____ d) 3 x 3 x 2 = _____

Patterns and Relationships in Tables

4. a) Fill in the remaining row of the table.

b) The input starts at _____, and

increases by _____ each time.

The output starts at _____, and

increases by _____ each time.

You can also multiply the input by

_____ to get the output.


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5. a) Fill in the remaining rows of the table.

b) The input starts at 10 and decreases by _____ each time.

The output starts at 100 and decreases by

_____ each time.

You can also multiply the input by _____ to get

the output.

Writing Numbers in Expanded Form

6. Write each number in expanded form.

a) 1000 ______________ b) 900 ______________

c) 400 ______________ d) 30 ______________

Adding Integers

7. Add.

a) (-3) + (-4) = _____ b) 6 + (-2) = _____

c) (-5) + 2 = _____ d) (-4) + (-4) = _____

8. a) Kerry borrows $5. Then she borrows another $5. Add to show what Kerry owes. *When an amount of money is negative, it is owed.

(-5) + (-5) = _____ Kerry owes $_____.

b) The temperature was 8°C. It fell 10°C. Add to show the new

temperature.

8 + (_____) = _____ The new temperature is ____°C.

Input Output

10 100

9 90

8 80

7 70

6 60


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Subtracting Integers

9. Subtract.

a) (-6) – 2 = _____ + _____ b) 2 – (-6) = _____ + _____

= _____ = _____

c) (-8) – 9 = _____ + _____ d) 8 – (-9) = _____ + _____

= _____ = _____

Dividing Integers

10. Calculate.

a) (-4) ÷ 2 = _____ b) (-6) ÷ (-3) = _____

c) 15 ÷ (-3) = _____ d) 24 ÷ 8 = _____

Simplifying Fractions

11. Simplify each fraction.

a) � � � � �

� =

b)

� � � � � � � � �

� � � � � � � � � = _____

= _____

c) � � � � � � � � �

� � � � � =

d)

� � � � � � � � � � � � � � �

� � � � � � � � � =

= _____ = _____


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Grouping Equal Factors

12. Group equal factors and write as powers.

a) 2 x 10 x 2 x 10 x 2 = ___ x ___ x ___ x ___ x ___

= _____________

b) 2 x 5 x 2 x 5 x 2 x 5 x 2 x 5

= ___ x ___ x ___ x ___ x ___ x ___ x ___ x ___

= ________________

Multiplying Fractions

13. Multiply the fractions. Write as powers.

a) �

� x

�

� x

�

� =

b)

�

� x

�

� x

�

� x

�

� x

�

� x

�

� =

=

=


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Topic 1: What is a Power?

Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS

REAL-WORLD CONNECTION

Power


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Practice Problems: What is a Power?

Directions: Answer each question on the sheet. Show ALL your work.

1. Write as a power.

a) 4 x 4 x 4 x 4 x 4 = 4__

b) 3 = _____

c) 2 x 2 x 2 x 2 x 2 x 2 = _____

d) 5 x 5 x 5 x 5 = _____

e) (-10)(-10)(-10) = _____

f) -4 x -4 = _____

g) (-7)(-7)(-7)(-7)(-7)(-7)(-7)(-7) = _____

2. Complete the table.

Repeated Multiplication Power Read as…

a) 8 x 8 x 8 x 8 _______ __ to the _____

b) 7 x 7 _______

c) 3 x 3 x 3 x 3 x 3 x 3 _______ _____ to the __th

d) 2 x 2 x 2 _______


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3. Complete the table.

Power Repeated Multiplication Standard Form

a) 23 ___ x ___ x ___ ___________

b) 62 ______________________ 36

c) 34 ______________________ ___________

d) 104 ______________________ ___________

e) 8 squared ______________________ ___________

f) 7 cubed ______________________ ___________

4. Identify the base of each power, then evaluate.

a) (-1)3 b) – 103

The base is ____. The base is ____.

(-1)3 = _____________ – 103 = _____________

= ________ = ________

c) (-7)2 d) – (-5)4

The base is ____. The base is ____.

(-7)2 = _____________ – (-54) = _____________

= ________ = ________


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Assignment: What is a Power? Due Date: _______________

Directions: Complete each question on this sheet of paper. This paper is to

be handed in. Remember to show ALL your work for full marks.


a) 8 x 8 x 8 x 8 x 8 x 8 x 8

7 factors of ___

The base is ___. There are ___ equal factors, so the exponent is ____.

8 x 8 x 8 x 8 x 8 x 8 x 8 = ____

b) 10 x 10 x 10 x 10 x 10

___ factors of 10

The base is ___. There are ___ equal factors, so the exponent is ___.

10 x 10 x 10 x 10 x 10 = _____

c) (-2)(-2)(-2)

___ factors of ____


So, (-2)(-2)(-2) = _____

d) (-13)(-13)(-13)(-13)(-13)(-13)

____ factors of ____


So, (-13)(-13)(-13)(-13)(-13)(-13) = _____

2. Write each expression as a power.

a) 9 x 9 x 9 x 9 = ____4 b) (5)(5)(5)(5)(5)(5) = _____

b) 11 x 11 = ____ c) (-12)(-12)(-12)(-12)(-12) = _____


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3. Write each power as repeated multiplication.

a) 32 = __________________ b) 34 = __________________

c) 27 = ______________________________

d) 108 = ____________________________________________

4. State whether the answer will be positive or negative. (Identify the base first)

a) (-3)2 _________________ b) 63 ____________________

c) (-10)3 _________________ d) -43 ____________________

5. Write each power as repeated multiplication and in standard form.

a) (-3)2 = ________________ b) 63 = __________________

= _____ = _____

c) (-10)3 = _______________ d) -43 = __________________

= _____ = _____

6. Write each product as a power and in standard form.

a) (-3)(-3)(-3) = _____ b) (-8)(-8) = _____

= _____ = _____

c) –(8 x 8 x 8) = _____ d) –(-1)(-1)(-1)(-1)(-1)(-1)(-1) = _____

= _____ = _____

7. Identify any errors and correct them.

a) 43 = 12 __________________________________________

b) (-2)9 is negative __________________________________________

c) (-9)2 is negative __________________________________________

d) 32 = 23 __________________________________________

e) (-10)2 = 100 __________________________________________


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Topic 2: Powers of Ten and the Zero Exponent

Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS


Zero

Exponent

Law


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Practice Problems: Powers of Ten and the Zero Exponent


1. Evaluate each expression.

a) 60 = _____ b) (-5)0 = _____ c) 80 = _____

d) -40 = _____ e) 40 = _____ f) (-10)0 = _____

2. Write as a power of 10.

a) 10 000 = ____ x ____ x ____ x ____

= 1 x 10__

b) 1000 = ____ x ____ x ____

= ____ x ____3

c) 100 = ____ x ____

= ____ x ____

d) 10 = ____ x ____

e) 1 = ____ x ____

3. Write in standard form.

a) 51 = ____ b) (-7)1 = _____

c) 101 = _____ d) 100 = _____


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Assignment: Powers of Ten and the Zero Exponent

Due Date: _______________

Directions: Complete each question on this paper. This paper is to be handed in. Remember to show ALL your work for full marks.

1. a) Complete the table below.

Power Repeated Multiplication Standard Form

54 ___ x ___ x ___ x ___ _____

53 ____________ _____

52 ____________ 25

51 ____________ _____

b) What is the value of 51? _____

c) Use the table. What is the value of 50? _____

2. Evaluate each power.

a) 20 = _____ b) 90 = _____

c) (-2)0 = _____ d) -20 = _____

e) 101 = _____ f) (-8)1 = _____

3. Write each number as a power of 10.

a) 10 000 = 1 x 10__ b) 1 000 000 = ___ x ___

c) Ten million = ___ x ___ d) One = ___ x ___

e) 1 000 000 000 = ___ x ___ f) 10 = ___ x ___

4. Evaluate each power of 10.

a) 1 x -106 = ________________ b) 1 x -100 = ________________

c) 1 x -108 = ________________ d) 1 x -101 = ________________


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5. Write each number as a power of 10.

a) One trillion = 1 000 000 000 000 = ____ x ____

b) Ten trillion = ________________________ = ____ x ____

c) One hundred trillion = __________________________ = ____ x ____

6. Write each number in standard form.

a) 5 x 104 = ___ x _________

= ____________

b) (4 x 102) + (3 x 101) + (7 x 100) = (__ x ____) + ________________

= ___________________________

= ___________________________

c) (2 x 103) + (6 x 102) + (4 x 101) + (9 x 100)

= ______________________________________________________

= ______________________________________________________

= ______________________________________________________

d) (7 x 103) + (8 x 100) = _____________________________

= _____________________________

= _____________________________

7. Why is a power with exponent 0 equal to 1?

__________________________________________________________

__________________________________________________________


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Topic 3: Order of Operations with Powers

Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS


PEDMAS


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Practice Problems: Order of Operations with Powers


1. Evaluate.

a) 42 + 3 = _____ + ____ b) 52 – 22 = _____ - _________

= __________ = __________

= _____ = _____

c) (2 + 1)2 = _____ d) (5 – 6)2 = _____

= _____ = _____

= _____ = _____

e) 23 + 1 = ________ + ____ f) 8 – 32 = ____ - ________

= __________ = ______________

= _____ = _____

2. Evaluate.

a) 5 x 32 = ___ x ____ ____ b) 82 ÷ 4 = _____ _____ ÷ ____

= ___ x _____ = _____ ÷ ____

= _____ = _____

c) (32 + 60)2 ÷ 21 d) 102 + (2 x 22)2 = ___ + (__ x _____)2

= (_____ + _____)2 ÷ ____ = _____ + _____

= _____ ÷ ____ = _____ + _____

= _____ ÷ _____ = _____

= _____


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e) [2 x (-2)3]2 = [__ x _____]2 f) (72 + 50) ÷(-5)1 = (___ + ___) ÷____

= (_____)2 = _____ ÷ _____

= _____ = _____ ÷ _____

= _____

3. Corin answered the following skill-testing question to win free movie

tickets: 120 + 203 ÷ 103 + 12 x 120

His answer was 1568. Did Corin win the movie tickets? Show your work.

120 + 203 ÷ 103 + 12 x 120 Evaluate the powers first.

= _____ + _____ ÷ _____ + ___ x _____ Divide and multiply.

= _____ + _____ + _____ Add.

= _____

Corin ____________ the movie tickets.

4. Answer the following skill-testing question to enter a draw for a Caribbean cruise.

(6 + 4) + 32 x 10 – 102 ÷ 4 Parentheses.

= _____ + ____ x ___ – ____ ÷ ____ Exponents.

= _____ + _____ x ___ - _____ ÷ ____ Multiply and divide.

= _____ + _____ - _____ Add and Subtract.

= _____


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Assignment: Order of Operations with Powers Due Date: _______

Directions: Complete each question on this paper. This paper is to be

handed in. Remember to show ALL your work for full marks.

1. Evaluate.

a) 22 + 1 = _________ + ___ b) 22 – 1 = _________ - ___

= _____ + ___ = _____ - ___

= _____ = _____

c) (2 + 1)2 = _____ d) (2 – 1)2 = _____

= _____ = _____

= _____ = _____

2. Evaluate.

a) 4 x 22 = ___ x _________ b) 42 x 2 = _________ x ___

= ___ x _____ = _____ x ___

= _____ = _____

c) (4 x 2)2 = _____ d) (- 4)2 ÷ 2 = __________ ÷ ___

= _____ = _____ ÷ ___

= _____ = _____

3. Evaluate.

a) 23 + (-1)3 = _____ + _____ b) (2 – 1)3 = __________

= _____ + _____ = __________

= ____ + ____ ____ ____ = __________

= ____ + ____

= ____


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c) 23 - (-1)3 = _____ - _____ d) (2 + 1)3 = __________

= _____ - _____ = __________

= ____ - ____ ____ ____ = __________

= ____ - ____

= ____

4. Evaluate.

a) 32 ÷ (-1)2 = _____ ÷ _____ b) (3 ÷ 1)2 = ________________2

= _____ ÷ _____ = ________________

= ____ ÷ ____ ____ = ________________

= ____ ÷ ____

= ____

c) 32 x (-2)2 = _____ x _____ d) 52 ÷ (-5)1 = _________ ÷ ____

= _____ x _____ = _________ ÷ ____

= ____ x ___________ = _____ ÷ _____

= ____ x ___________ = _____________

= _____________

5. Evaluate.

a) (-2)0 x (-2) = _____ x ____ b) 23 ÷ (-2)2 = _________ ÷ ____

= _____ = _____ ÷ ____

= _____ ÷ _______

= _____ ÷ _____

= _____


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c) (3 + 2)0 + (3 x 2)0 = ___ + ___ d) (3 x 52)0 = _____

= _____

e) (2)(3) - (4)2 = ______ - _____ f) 3(2 - 1)2 = ___ x _____

= ______ - _____ = ___ x _____

= _____ - _____ = _____

= _____

g) (-2)2 + (3)(4) = _____ + _____ h) (-2)+30 x (-2)= ___+ ___ x___

= _____ + _____ = ___ + _____

= _____ + _____ = _____

= _____

6. Amaya wants to replace the hardwood floor in her house. Here is how she

calculates the cost, in dollars:

70 x 62 + 60 x 62

How much will it cost Amaya to replace the hardwood floor?

____ x _____ + ____ x _____

= ____ x _____ + ____ x _____

= _____ + _____

= _____

It will cost Amaya $_____ to replace the hardwood floor.


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Topic 4: Exponent Laws I

Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS


Exponent Law:

Multiplying Powers


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Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS

REAL-WORLD

CONNECTION

Exponent Law: Dividing Powers


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Practice Problems: Exponent Laws I



a) 53 x 54 = ___(___ + ___) b) (-6)2 x (-6)3 = ____________

= 5___ = ______

c) (72)(7) = ____________ d) 25 x 24 = ____________

= ____________ = ______

= ______

e) (-3)2 x (-3)3 = __________ f) 105 x 10 = ________________

= _____ = _____


a) 45 ÷ 43 = __________ b) (-2)7 ÷ (-2)2 = __________

= _____ = _____

c) (-5)6 ÷ (-5)3 = __________ d) (-3)9 ÷ (-3)5 = __________

= _____ = _____

e) 84 ÷ 83 = ___________ f) 98 ÷ 92 = ____________

= _____ = _____


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3. Evaluate.

a) 22 x 23 ÷ 24 = ________÷ ____ b) (-2)5 ÷ (-2)3 x (-2)

= ________÷ ____ = ________ x ____

= ____÷ ____ = ________ x ____

= ________ = ________

= _____ = _____

= _____ = _______________

= _____

c) 4 x 43 ÷ 42 = ________÷ ____ d) (-3) ÷ (-3) x (-3)

= ________÷ ____ = ________ x ____

= ________ = ________ x ____

= _____ = ________

= _____ = _____

= _____


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Assignment: Exponent Laws I Due Date: _______



1. Write each product as a single power.

a) 76 x 72 = ___(___ + ___) b) (-4)5 x (-4)3 = ______________

= _____ = _____

c) (-2) x (-2)3 = __________ d) 105 x 105 = ______________

= _____ = _____

e) 70 x 71 = ____________ f) (-3)4 x (-3)5 = ______________

= _____ = _____

2. Write each quotient as a power.

a) (-3)5 ÷ (-3)2 = (___)(___ - ___) b) 56 ÷ 54 = ___________

= _____ = _____

c) 47 ÷ 44 = _________ d) 58 ÷ 56 = _________

= _____ = _____

e) 64 ÷ 64 = _________ f) (-6)8 ÷ (-6)7 = __________

= _____ = _____


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3. Write as a single power.

a) 23 x 24 x 25 = __(__ + __) x __ b) 32 x 32 ÷ 32 x 32 = ______ ÷ ______

= ____ x ____ = ____ ÷ ____

= ______ = ___________

= ______ = _____

c) 103 x 105 ÷ 102 d) (-1)9 ÷ (-1)5 x (-1)0

= ___________ ÷ ____ = __________ x _____

= _____ ÷ _____ = _____ x _____

= _________ = _________

= _____ = _____

4. Simplify, then evaluate.

a) (-3)1 x (-3)2 x 2 b) 99 ÷ 97 x 90 = ________ x ___

= ____________ x ___ = _____ x ___

= _____ x ___ = __________

= _____ x ___ = _____

= _____ = _____

c) 52 ÷ 50 = _______________ d) 55 ÷ 54 x 5 = ________ x ___

= _______ = _____ x ___

= _____ = __________

= _____

= _____


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5. Identify any errors and correct them.

a) 43 x 45 = 48 _________________________________

_________________________________

b) 25 x 25 = 225 _________________________________

_________________________________

c) (-3)6 ÷ (-3)2 = (-3)3 _________________________________

_________________________________

d) 70 x 72 = 70 _________________________________

_________________________________

e) 62 + 62 = 64 _________________________________

_________________________________

_________________________________

_________________________________

f) 106 ÷ 10 = 106 _________________________________

_________________________________

g) 23 x 52 = 105 _________________________________

_________________________________

_________________________________

_________________________________


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Topic 5: Exponent Laws II

Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS


Exponent Law:

Power of a Power


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Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS

REAL-WORLD

CONNECTION

Exponent Law: Power of a

Product


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Concept Map

DEFINITION

CHARACTERISTICS

EXAMPLES/

MODELS

REAL-WORLD

CONNECTION

Exponent Law: Power of a

Quotient


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49


Practice Problems: Exponent Laws II



a) (32)4 = _____ x ___ b) [(-5)3]2 = _________ c) –(23)4 = __________

= ____ = ____ = ____

d) (93)4 = _________ e) [(-2)5]3 = _________ f) –(54)2 = __________

= ____ = ____ = ____

2. Write as a product of powers.

a) (5 x 7)4 = _____ x _____ b) (8 x 2)2 = _____ x _____

3. Evaluate.

a) [(-1) x 6]2 = _____ b) [(-1) x (-4)]3 = _____

= _____ = _____

4. Evaluate using the exponent laws.

a) (2 x 5)2 = ______ x ______ b) [(-3) x 4]2 = (-3)___ x 4___

= (__)(___) x (__)(___) = (___)(___) x (___)(___)

= ____ x _____ = ____ x ____

= _____ = _____


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5. Write as a quotient of powers.

a) (�

�) = _______ b) [1 ÷ (-10)]3 = ____________

6. Evaluate using exponent laws.

a) [30 ÷ (-5)]2 = (

) b) (�

�) =

=

=

=

= _____

= _____

c) [(-16) ÷(-4)]2 = _____ d) (�

) = _____

= _____ = _____

2

2

3


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Assignment: Exponent Laws II Due Date: _______



1. Write as a product of powers.

a) (5 x 2)4 = ______ x ______ b) (12 x 13)2 = ____ x ____

c) [3 x (-2)]3 = ____ x ____ d) [(-4) x (-5)]5 = ____ x ____

2. Write as a quotient of powers.

a) (5 ÷ 8)0 = ______ ÷ ______ b) [(-6) ÷ 5]7 = ______ ÷ _____

c) (�

�) = _____ d) (

��

��) = _____


a) (52)3 = ______ x ___ b) [(-2)3]5 = _____________

= ______ = _________

c) (44)1 = __________ d) (80)3 = _______________

= ______ = ____________

4. Evaluate.

a) [(6 x (-2)]2 = __________ b) –(3 x 4)2 = ___________

=_____ = _____

c) (-8 ÷ -2)2 = __________ d) (10 x 3)1 = ___________

= ______ = _____

e) [(-2)1]2 = __________ b) [(-2)1]3 = __________

= ______ = ______

= _____ = _____

2 3


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5. Find any errors and correct them.

e) (32)3 = 35 _____________________________________

_____________________________________

f) (3 + 2)2 = 32 + 22 _____________________________________

_____________________________________

g) (53)3 = 59 _____________________________________

_____________________________________

h) (2 ÷ 3)8 = 28 ÷ 38 _____________________________________

i) (3 x 2)2 = 36 _____________________________________

_____________________________________

j) (2 ÷ 3)2 = 4 ÷ 6 _____________________________________

k) [(-3)3]0 = (-3)3 _____________________________________

_____________________________________

_____________________________________

l) [(-2) x (-3)]4 = -64 _____________________________________


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Powers Puzzle: Bird’s Eye View

This is a view through the eyes of a bird. What does the bird see?

To find out:

1. Simplify or evaluate each expression on the left, then find the answer on the right.

2. Write the corresponding letter beside the question number. 3. The numbers at the bottom of the page are question numbers.

4. Write the corresponding letter over each number.

1. 5 x 5 x 5 x 5 __________________ A 100, 000

2. 23 __________________ P 56

3. 36 ÷ 32 __________________ S 0

4. 4 x 4 x 4 x 4 x 4 __________________ E 1

5. (-2)3 __________________ F 34

6. (-2) + 4 ÷ 2 __________________ G 6

7. (52)3 __________________ I 8

8. 32 - 23 __________________ O 46

9. 102 x 103 __________________ N 45

10. 5 + 30 __________________ R 54

11. 47 ÷ 4 __________________ Y -8

__ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ 9 7 8 1 6 11 4 3 1 5 2 4 10 9 4 8 10 10


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55


Unit Review Due Date: _____________

Directions: Complete each question on this paper. This paper is to be handed in for the potential bonus mark(s). Remember to show ALL your

work. Bonus marks will NOT be rewarded for incomplete work.

1. Give the base and exponent of each power.

a) 62 Base ___ Exponent ___

b) (-3)8 Base ___ Exponent ___


a) 4 x 4 x 4 = _______ b) (-3)(-3)(-3)(-3)(-3) = ___________

3. Write each power as repeated multiplication and in standard form.

a) (-2)5 = (___)(___)(___)(___)(___)

= _____

b) 104 = (___)(___)(___)(___)

= _____

c) Six squared = ______

= _____

d) Five cubed = ______

= _____

4. Evaluate.

a) 100 = ____ b) (-4)0 = ____

b) c) 81 = ____ d) -40 = ____


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5. Write each number in standard form.

a) 9 x 103 = ___ x ________ x _________ x __________

= ___ x ________

= ___________

b) (1 x 102) + (3 x 101) + (5 x 100)

= (___ x _____) + (___ x _____) + (___ x _____)

= _____ + _____ + _____

= _____

c) (2 x 103) + (4 x 102) + (1 x 101) + (9 x 100)

= (___ x _____) + (___ x _____) + (___ x _____) + (___ x _____)

= _____ + _____ + _____ + _____

= _____

d) (5 x 104) + (3 x 102) + (7 x 101) + (2 x 100)

= (___x______) + (___x______) + (___x______) + (___x______)

= _______ + _______ + _______ + _______

= _______

6. Evaluate.

a) 32 + 3 = _____ + ____ b) [(-2) + 4]3 = _____3

= _____ + ____ = ___ x ___ x ___

= _____ = _____


57


c) (20 + 5) ÷ 52 d) (82 – 4) ÷ (62 – 6)

= _____ ÷ ____ = (____ - ___) ÷ (____ - ___)

= _____ ÷ _____ = _____ ÷ _____

= _____ = _____

7. Evaluate.

a) 5 x 32 = ___ x _____ b) 10 x (32 + 50) = ___ x _______

= _____ = ___ x _____

= _____

c) (-2)3 + (-3)(4) d) (-3) + 40 x (-3)

= _____ + _____ = _____ + _____ x _____

= _____ = _____ + _____

= _____


a) 63 x 67 = ___(___ + ___) b) (-4)2 x (-4)3 = ______________

= ______ = _________

c) (-2)5 x (-2)4 = ____________ d) 107 x 10 = ______________

= _________ = _________


a) 57 ÷ 53 = ____________ b) 105 ÷ 103 = ______________

= _________ = _________


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c) (-6)8 ÷ (-6)2 = ____________ d) 510 ÷ 56 = ______________

= _________ = _________

e) 83 ÷ 8 = ____________ f) (-3)4 ÷ (-3)0 = ______________

= _________ = _________


a) (53)4 = ____________ b) [(-3)2]6 = ______________

= _________ = _________

c) (82)4 = ____________ d) [(-5)5]4 = _____________

= _________ = _________

11. Evaluate using exponent laws, then evaluate using the order of operations.

a) (3 x 5)2 = ______ x ______ (3 x 5)2 = (_____)2

= _____ x _____ = _____

= _____

b) (2 x 10)5 = _____ x _____ (2 x 10)5 = _____

= _____ x _____ = _____

= _____

c) [(-4) x (-5)]3 = _____ x _____ [(-4) x (-5)]3 = _____

= _____ x _____ = _____

= _____


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d) (4 ÷ 3)5 = (____)___ ÷ (____)___ (4 ÷ 3)5 = _____

= _____ ÷ _____ = _____

= _____

e) (12 ÷ 10)4 = _____ ÷ _____ (12 ÷ 10)4 = _____

= _____ ÷ _____ = _____

= _____

f) [(-7) ÷ (-9)]6 = _____ ÷ _____ [(-7) ÷ (-9)] 6 =_____

= _____ ÷ _____ = _____

= _____


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61


Graphic Organizer

Directions: Give an example under each heading. Show how to evaluate the answer where possible.


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63


Unit Self-Assessment

Directions: For each learning outcome listed below, rate your comfortability level on the topic on a scale of 1 to 4.

4 = I definitely know this

3 = I am pretty sure I know this

2 = I am not sure if I know this

1 = I do not know this

Outcome Description / Example Rating

I can evaluate a power with an integer base.

Write the power as repeated multiplication, then evaluate.

(-2)3 = ______________= _____

I can evaluate a power

with an exponent 0. 80 = _____

I can use the order of operations (BEDMAS) to

evaluate expressions containing exponents.

(32 + 2) x (-5) = ________________

= ________________

= _____

I can apply the exponent law for a product of

powers.

43 x 46 = __________ = _____

I can apply the exponent

law for a quotient of

powers.

27 ÷ 24 = __________ = _____

I can apply the exponent law for a power of a power.

(53)2 = _________

= _____

I can apply the exponent

law for a power of a product.

(6 x 3)5 = _________________

I can apply the exponent law for a power of a

quotient.

(3 ÷ 4)2 = _________________

If you marked any outcome either a “2” or a “1”, start studying the learning

material for those outcomes first. If you need help, ask!

REMINDER: Do not rely ONLY on the review to study for the test. Study everything in your notebook and redo practice problems


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Unit Post-Test Reflection

Mark received on this test: __________ %

1. List one or two outcome(s) on the Self-Assessment page that you

struggled with the most in this unit.

__________________________________________________________

__________________________________________________________

2. Why do you think you struggled with these topic(s)?

__________________________________________________________

__________________________________________________________

3. List and explain at least two things you will during the next unit to ensure

that you overcome any challenges you faced in this unit.

__________________________________________________________

__________________________________________________________

__________________________________________________________

__________________________________________________________

unit 2: powers - ms pempengco's class site · 2018. 11. 15. · grade 9 math (10f) unit 2...

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