MTH 3-06a 10-Jan-16Compiled by Mr. Lafferty Maths Dept. Powers & Roots Squares, Cubes and Powers...
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MTH 3-06a 14 Jun 2022 14 Jun 2022 Compiled by Mr. Lafferty Maths Compiled by Mr. Lafferty Maths Dept. Dept. Powers & Roots Powers & Roots www.mathsrevision.com Squares, Cubes and Powers (Indices) Square Roots and Cube Roots
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Transcript of MTH 3-06a 10-Jan-16Compiled by Mr. Lafferty Maths Dept. Powers & Roots Squares, Cubes and Powers...
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Powers & RootsPowers & Rootsw
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Squares, Cubes and Powers (Indices)
Square Roots and Cube Roots
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Starter Questionsw
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2 2
.
3 4
I s 14 2 the same as Explain?40 5
1. I s (- 2) 3 3 = 3. Explain your answer
2. Calculate 45% of 360
3.
4. Calculate
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.
Squaring a Squaring a NumberNumber
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1.1. To understand what is To understand what is meant by the term power meant by the term power of a number.of a number.
1. We are learning the term about powers of a about powers of a
number’.number’.
2.2. Be able to calculate Be able to calculate powers of a number powers of a number squares both mentally and squares both mentally and using the calculator.using the calculator.
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Square of a Square of a NumberNumber
To square a number means to : “Multiply it by itself”
means 9 x 9 = 81
Example :
means 10 x 10 = 100
92
102
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Cube of a NumberCube of a Number
To cube a number means to : “Multiply it by itself and then itself again”
means 2 x 2 x 2 = 8
Example :
means 4 x 4 x 4 = 64
23
43
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Index of a NumberIndex of a Number
means 2 x 2 x 2 x 2 x 2 =
25
32
an
n is called the index numbera is called
the base number
Example :
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Area of SquareArea of Square
= 72 = 49cm2
Example : Find the area of a squarewith length 7cm.
Area of a square is
A = l x l = l2
A = l2
l cm
21 Apr 2023Compiled by Mr. Lafferty Maths
Dept.
Special button on the calculator
MTH 3-06a
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3b
Ex 1Ch1 (page 8)
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Powers & RootsPowers & Roots
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Square Root of a Square Root of a NumberNumber
You now know how to find :
We can ‘undo’ this by asking
““which number, times itself, gives 81”which number, times itself, gives 81”
92 = 9 x 9 = 81
From the top line, the answer is 9
This is expressed as : “the SQUARE ROOT of 81 is 9”“the SQUARE ROOT of 81 is 9”
or in symbols we write : 81=9
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Cube Root of a Cube Root of a NumberNumber
You now know how to find :
We can ‘undo’ this by asking We can ‘undo’ this by asking
““which number, times itself, times itself again gives 8”which number, times itself, times itself again gives 8”
23 = 2 x 2 x 2 = 8
From the top line, the answer is 2
This is expressed as : “the CUBE ROOT of 8 is 2”
or in symbols we write : 3 8 =2
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Roots of a NumberRoots of a Number
means 4 x 4 = 16
Example :
42 so √16 = 4
means 5 x 5 x 5 = 12553
so 3√125 = 5
MTH 3-06a
21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww
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Length of a Length of a SquareSquare
= √400
Example : Find the length of the square.
Area of a square is
A = l x l = l2
l = √A
l cm400cm2
l = 20 cm
21 Apr 2023Compiled by Mr. Lafferty Maths
Dept.
Special button on the calculator
MTH 3-06a
21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try TJ3b
Ex 2Ch1 (page 10)
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Powers & RootsPowers & RootsHave you
updated your Learning Log ?
