8R Math Vocabulary # 1 (Numerical Roots and Radicals).notebook
Ahrens
Power
8th Grade Math Vocabulary
A power is another name for an exponent. It is a small, raised number that shows how many times to multiply the base by itself.
Power
Numerical Roots & Radicals
3
2
2
Base
"3 to the second power"
3 x 32
2
3 = x 3 3 33 x 33
33 = x x 33 3
NUMERICAL ROOTS AND RADICALS
Power
Area
Exponent
A number that shows you how many times to use the number in a multiplication. The number of square units
needed to cover a figure.
A quick way to write repeated multiplication.
4 units
1
Power 7
8
5
6
9
10 11 12
10 x 10 x 10 =
1
7x7 = 49
1
4
103 =
What is 7 ?
Index 3
ten to the power of 3
2
or 2
2
3
4 units
13 14 15 16
Area = 16 square units 4 units
a.k.a. 2
Area = 4 units x 4 units Area = 16 square units 72 = 49
Exponent
Area
Square
To multiply a number by itself.
42 =
4 x 4 = (4)(4) =
16
Square Root
The product of two equal factors.
What is 4
squared?
What is 10
squared?
What is the square of 6?
62 =
Area = (4 units)2 Area = 16 units2 1,000
A value that, when multiplied by itself,
gives the number.
The result of undoing the squaring
of a number.
Symbol:
121 = 11
102 =
10 x 10 = (10)(10)=
100
"radical sign"
64 = 8
36
(8)(8) = 64
8 x 8 = 64
Square
Square Root
6 x 6 = (6)(6) =
(11)(11) =121
11x11 = 121
1
8R Math Vocabulary # 1 (Numerical Roots and Radicals).notebook
Cube
Radicand The value inside
the radical sign.
Ahrens
The value you want to take the root of.
To multiply a number by itself and then again by itself.
The product of three equal factors.
What is 4
cubed?
9 = 3
29 = 5.3851... 144 = 12
What is 10
cubed?
4 =
3 What is the
cube of 6?
4 x 4 x 4 = (4)(4)(4) =
63 =
6 x 6 x 6 = (6)(6)(6) =
64
103 =
10 x 10 x 10 = (10)(10)(10) =
1000
216
Radicand
Cube
Cube Root
Rational
A value that, when used in a multiplication
three times, gives that number.
Symbol:
3
216 = 6 3
3
"cube root"
64 = 4
(6)(6)(6) = 216
6x6x6 = 216
(4)(4)(4) = 64
4x4x4 = 64
Any number that
can be made by dividing one integer by another.
102
9
81
rational
(32 = 9)
rational
perfect square
(92 = 81)
Rational
Irrational
Perfect Square
A number made by squaring a whole number.
49 = 7
(7)(7) = 49 24
169
169 = 13
(13)(13) = 169 Perfect Square
rational
102 = perfect square
perfect square
Cube Root
49
The radical of a perfect square.
The radical of
a non perfect
square.
29
24 = 4.89897...
irrational
4.89897... = 29 = perfect square
whole number
The decimal form of a number that goes on forever without repeating.
16
40
irrational
irrational
(42 = 16)
perfect square
40 = perfect square
Irrational
2