squares and square roots
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Squares and Square Roots. - PowerPoint PPT PresentationTRANSCRIPT
Squares and Square Roots
Context Consider an 8 cm square:
To use the side length to find the area, square it.
We write; (8 cm)2
= 8 cm x 8 cm = 64 cm2
To use the area to find the side length, we find the square root.
We write; 64 cm2
= 8 cm
Squaring and finding the square root are opposite operations.
Area = 64 cm2
8 cm
8 cm 8 cm
8 cm
Memorize these Perfect Squares:Integer
Square1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3
4
5
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4
5
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12 144
13
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12 144
13 169
14
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12 144
13 169
14 196
15
Memorize these Perfect Squares:Integer
Square1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12 144
13 169
14 196
15 225
Ex) Between what 2 integers does 40 lie?
Ex) Between what 2 integers does 40 lie?
Solution:
Ex) Between what 2 integers does 40 lie?
Solution: We know 36 = 6
Ex) Between what 2 integers does 40 lie?
Solution: We know 36 = 6
and 49 = 7
Ex) Between what 2 integers does 40 lie?
Solution: We know 36 = 6
and 49 = 7
So . . .
Ex) Between what 2 integers does 40 lie?
Solution: We know 36 = 6 40 and 49 = 7
So . . .
Ex) Between what 2 integers does 40 lie?
Solution: We know 36 = 6 40 lies between 6 & 7 and 49 = 7
