Page 1
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
What should students be able to do within this interactive?
1.
2.
with variable or numeric bases
1. For the Product of Powers: am x an = am + n
1.1 Multiplying the exponents
1.2 Multiplying or adding the bases
2. For the Quotient of Powers: am รท an = am - n
2.1 Dividing the exponents
2.2 Dividing the bases
2.3 Subtraction errors with negative exponents
3. For the Power of a Power: (am )n = amn
3.1 Multiplying the outer exponent onto both the base and the inner exponent.
3.2 Adding the exponents
3.3 Multiplication errors with negative exponents.
4. For the Product of a Power: (a x b)m = ambm
4.1 Not multiplying the outer exponent onto all of the inner exponents.
4.2 Adding the exponents
5. For the Quotient of a Power:
5.1 Not multiplying the outer exponent onto exponents of both the numerator and denominator.
5.2 Multiplication errors
5.3 Dividing exponents
5.4 Multiplying the exponent and the base together.
Chapter 1Exponents (Laws of Exponents)
Students should be able to understand and use of the laws of exponents.
Students should be able to simplify expressions that have positive, negative, or zero exponents
Common Mistakes Made within Each Law
๐
๐
๐
=๐๐
๐๐
Page 2
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
6. For the Zero Exponents: a0 = 1 and x โ 0 6.1 Thinking the result of a zero exponent is zero.
6.2 Thinking the result of a zero exponent is the value of the base.
6.3 Not understanding the meaning of a zero exponent and where it could arise in a question.
6.4 Not understanding why the result of a zero exponent is always one.
7. For the For Negative Exponents: and x โ 0
7.1 Thinking that all negative exponents result in negative answers.
7.2 Not making the numerator 1 when reciprocating the base.
7.3 Not understanding the meaning of a negative exponent.
7.4 Forgetting to make the exponent positive after it has been reciprocated.
7.5 Not distinguishing between a negative base and negative exponent.
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๐โ๐ =๐
๐๐
Page 3
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
2. Complete all the missing parts in the following table:
(d6 x d-4) x (d3 x d8) =
(22m5) x (2m9) =
(5w8) x (7w2) =
m4 x m9 =
16 x 25 x 26 =
125 x 5-5 x 52 =
Laws of Exponents
1. Complete all the missing parts in the following table:
m10 x m2 x m3 =
63 x 62 =
Practice 1
Page 4
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
What should students be able to do within this interactive?
=
=
=
=
=
=
=
What should students be able to do within this interactive?
=
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Practice 2Laws of Exponents
Home Work.....
๐ฅ10๐ฆ3
๐ฅ2๐ฆ
๐2๐8๐5
๐๐3๐2
๐ฅ18๐ฆ9
๐ฅ6๐ฆ6
๐5
๐8ร๐9
๐2ร๐๐4
๐
12๐8๐17
4๐10๐6ร27๐๐7
9๐2๐
๐ฅ3๐โ2๐ฆ2๐โ1
๐ฅ๐๐ฆ
25๐๐5
โ5๐โ10๐โ8
โ54๐14๐9
โ6๐โ2๐7
๐ฅ5(๐ฆ + ๐ง)13
๐ฅ2(๐ฆ + ๐ง)8
๐โ2๐
๐3๐โ4รท
๐๐โ1
๐โ3๐โ4
โ18๐9๐20
12๐10๐6
16๐8๐4
2๐3๐รท
๐2๐3๐
36๐4๐๐5
Page 5
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
What should students be able to do within this interactive?
=
=
=
=
=
=
=
What should students be able to do within this interactive?
=
=
=
=
=
Practice 3
Laws of Exponents
Home Work.....
๐โ2๐๐3๐โ4
รท๐๐โ1
๐โ3๐โ4
โ18๐9๐20
12๐10๐6
16๐8๐4
2๐3๐ รท๐2๐3๐36๐4๐๐5เธฉเธถ
Page 6
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1. =
2. =
3. =
4. =
5. =
6. =
7. =
8. =
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
Practice 4Laws of Exponents
Complete all the missing parts in the following table:
๐5 รท ๐3
(๐โ2)3
(๐โ2๐)โ4ร(๐๐)4
(2โ2๐4๐)โ1ร (4โ2๐โ5)
(23ร 34)3
(22ร 32)5
(12๐2๐๐)2
(10๐๐3)2
(23ร 34)3
(22ร 32)5
4๐๐๐
โ6๐ฅ๐ฆ3ร
โ8๐ฅ2๐ฆ
12๐2๐๐2
โ5๐2๐
7๐๐2รท10๐3๐2
21๐2๐
Page 7
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1. =
2. =
3. =
4. =
5. =
6. =
7. =
8. =
Home Work.....
Complete all the missing parts in the following table:
๐8 รท ๐โ4
(๐4)โ6
(๐โ5๐)โ6ร(๐๐)3
(2โ5๐3๐)โ7ร (4โ8๐โ3)
(34ร 5โ2)2
(3โ6ร 54)3
(15๐4๐๐)โ1
(10๐๐2)3
12๐๐๐
โ2๐ฅ๐ฆโ2ร
โ6๐ฅ4๐ฆ
4๐5๐๐โ3
โ625๐3๐
81๐๐3รท125๐4๐โ2
27๐โ4๐
Page 8
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1)
2)
1)
2)
0.00001452 0.00000000035468
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2.354 x 108 12.36 x 10-5
Express each of the following as an integer or a decimal.
1.325 x 106 4.4 x 10-3
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0.000048 0.00000000021
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0.000038
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0.000000000000299
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69,100,000
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149,600,000
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Express each of the following numbers in scientific notation.
600,000,0005,300,000
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= ....................................................................................................................................................
= ....................................................................................................................................................
149,600,000
0.000038
Example
Practice
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
Practice 5Sciencetific Notation
Express each of the following numbers in scientific notation.
Page 9
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1)
2)
..........................................................................................................................................................................................................................
9.6 x 103 0.00456 x 10-7
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0.000007 0.00478
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15,234,000 94,251,000
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12,100,000 110,000,000
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0.5 x 109 7,000 x 103
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0.00023 0.0000000094
Express each of the following as an integer or a decimal.
1.325 x 106 4.4 x 10-3
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0.000048 0.00000000021
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85,300 52,700,000
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Express each of the following numbers in scientific notation.
5,300,000 600,000,000
Homework
Sciencetific Notation
Page 10
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1)
2)
1)
..........................................................................................................................................................................................................................
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= ....................................................................................................................................................
= ....................................................................................................................................................
= ....................................................................................................................................................
= ....................................................................................................................................................
= ....................................................................................................................................................
= ....................................................................................................................................................
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(2.34 x 105) x (7.12 x 10-4) (13.4 x 104) รท (4 x 105)
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(1.14 x 105) + (4.56 x 104) [(2.37 x 10-3) + (3.25 x 10-4)] รท (4.1 x 105)
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(4.5 x 10-3) รท (9 x 10-1)
Practice
Express each of the following numbers in scientific notation.
(4.2 x 10-4) x (2.6 x 102) (3.5 x 10-5) รท (1.4 x 108)
= ....................................................................................................................................................
Name: ................................................................... No: ..................... Class: M. 2/........ Date: .........................
Practice 6Apply Sciencetific Notation
Express each of the following numbers in scientific notation.
Example
(7.2 x 103) x (2 x 1015) = ....................................................................................................................................................
Page 11
Topic: Exponent and Applying
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
1)
..........................................................................................................................................................................................................................
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(2.4 x 10-10) รท [(7.2 x 10-6) - (3.5 x 10-8)] [(4.37 x 10-4) + (2.16 x 10-5)] รท (3 x 10-3)
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(2.34 x 105) x (7.12 x 10-4) (13.4 x 104) รท (4 x 105)
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(6.4 x 106) x (5.1 x 10-3) (2.17 x 10-5) รท (7 x 104)
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(3.17 x 104) + (2.26 x 105) [(8.43 x 107) + (6.8 x 108)] รท (1.01 x 104)3
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(2 x 105) - (0.12 x 107)(32.6 x 102) x (42.56 x 103)
Express each of the following numbers in scientific notation.
(2.54 x 103) + (3.11 x 104) (6 x 105) - (3.1 x 103)
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Homework
Sciencetific Notation
Page 12
Law of Indices
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
Score: 50 marks
1.
1.2)
1.5) (253m7) x (1252m-3)
2.
2.2) 125,040
2.3) 365,200,000,000
2.4) 0.000000465001
2.5) 0.000000000057306
3.
4.
5.
Express each of the following numbers in scientific notation. (20 Marks)
Express each of the following numbers in scientific notation. (5 Marks)
Express each of the following as an integer or a decimal. (5 Marks)
2.1) 4,832,000
3.1) 0.02407 x 107
3.2) 12.4 x 103
3.3) 3.05 x 106
3.4) 5.4 x 10-5
3.1) 0.305 x 10-5
4.1) (2.54 x 103) + (3.11 x 104)
4.4) [(3 x 106) - (0.6 x 107)] x (3 x 102)3
4.2) (3.75 x 104) รท (5 x 105)3
4.3) (12.5 x 10-3) x (3 x 10-6)
4.5) (2.5 x 10-8)2 รท [(2 x 10-5) + (30 x 10-6)]
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What are the 7 laws of exponents? List all of these. ( Bonus Point, 5 marks)+ 25
Complete all the missing parts in the following table. (15 marks)
1.1)
1.3)
1.4)
Name: .............................................................................. No: ................. Class: M. 2/1 Date: 07-June-2021
Post-test Chapter 1
Law of Indices
Directions: This exam includes 1 parts (เนเธซเนเธเธฑเธเนเธฃเธตเธขเธเนเธเธตเธขเธเนเธชเธเธเธงเธดเธเธตเธ เธณเธญเธขเนเธณเธเธฅเธฐเนเธญเธตเธขเธ)
Time: 08.40 - 10.10 ( 90 minutes)
---------------------------------------------------------- Question ----------------------------------------------------------------------
(2โ8ร 35)7
(24ร 33)5
โ56aโ2b
9cdโ3รท7a3b3
36c4d
โ27๐โ8๐โ21
34๐โ30๐โ4
๐ฅโ4(๐ + ๐)โ8
๐ฅโ2(๐ + ๐)15
Page 13
Law of Indices
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
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Page 14
Law of Indices
Teacher: Sunisa Pengmanee
Mathematics 3 (Mathayom 2)..........
English Program 2021..........
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