-word bank for exponents- exponent, squared, …...exponent, squared, cubed, exponential form,...
TRANSCRIPT
Name:_______________________________________ Block:________ Date:___________ (SOL: 6.5)
45
Factors Numbers Words Exponential Form
4 4x4 Four to the second power
or four squared 42
2 222 Two to the third power or
Two CUBED 23
5 55 Five SQUARED
3 3333 Three to the fourth power
Square numbers, perfect squares and square roots
To find the square root of a number, find the number that when multiplied by itself is equal
to the number. *The root MAKES the larger number or the perfect square.
Example: √ = 4 because 4 x 4 = 16 or 42 is a square with 4 on each side On a square all sides are the same length and one side x the other = a perfect square.
-Word Bank for Exponents-
Exponent, Squared, Cubed, Exponential Form, Inverse Operations, Product Form/Standard Form, Base
43 42
3 x 3 x 3 x 3
Or
3 3 3
Multiplication is the opposite of Division
Addition is the opposite of Subtraction
Any number to the zero power is ALWAYS 1 (except 0)
34
Or
33
√ = 2 because…
2 is the length of each side.
Square Roots √ square root symbol
PERFECT SQUARES- Tell the square root for each perfect square.
36 = 6
Because 6 x 6 = 36 (The square root of 36 is 6.)
81 =
Because… 25 =
Because…
144 = Because…
49 =
Because…
36 =
Because…
400 =
Because…
121 = Because…
1 = Because…
Think about it… are the following perfect squares?
#’s Yes No Proof: Multiplication fact
25
5 x 5 = 25 All sides equal/square
12
48
49
0
2
100
56
1
What if it is NOT a perfect square?
The square root of a number that is not a perfect square falls between two consecutive
whole numbers.
Step 1: Is the number 29 a perfect square? Is there a whole number which can be squared
to equal 29?______________
Step 2: A) The number 25 is the closest perfect square less than 29. What is 25 ? -
_______________
B) The number 36 is closest perfect square greater than 29. What is 36 ? _______________
C) 29 lies between 25 and 36 . What are the two consecutive whole numbers
between which 29 lies? _______________________
Perfect Square #’s:
Square Roots: √
² =
2² =
3² =
4² =
5² =
² =
7² =
8² =
9² =
0² =
² =
2² =
3² =
4² =
5² =
² =
7² =
8² =
9² =
20² =
TRUE or FALSE? Show your work!
A) True or False 32 = 2
3
TRUE or FALSE? Show your work!
B) True or False 42= 2
4
Shade all PERFECT SQUARES
1) 25 = 2 x 2 x 2 x 2 x 2 Answer: 32
2) 34 3) 18
4) 91
5) 54 6) 72
7) 08
8) 43 9) 80
A) Write the following powers as a product of the same factor (product form, x x x )
1.) 45 = 2.) 36 = 3.) 83 =
B) Evaluate, or find the value of the given problems.
4.) 63 = 5.) 24 = 6.) 43 =
Finding the square root for NON-Perfect Squares.
* Find the two consecutive WHOLE NUMBERS between which the square root
of a given number lies/falls between.
1) 19 ________ __________ 2) 57 ________ __________
3) 48 ________ __________ 4) 99 ________ __________
5) 17 ________ __________
7) 22 ________ __________
9) 133 ________ __________
6) 2 ________ __________
8) 82 ________ __________
10) 320 ________ _________
C) Write the following numbers in exponential form (exponent form).
7.) Write 6 6 6 6 6 6 6 in exponential form.
8.) Write 8 8 8 8 8 8 8 8 8 8 8 in exponential form.
9.) Write 2 2 2 2 2 3 3 3 3 in exponential form.
What is the square root of each PERFECT square?
1) √ = 4 2) √25 =
3) √8 =
4) √ 00 =
5) √9 =
6) √3 =
7) √ 44 =
8) √ =
9) √49 =
10) √4 = 11) √ 4 = 12) √ 2 =
Write each expression in exponential form.
1) 4 x 4 x 4 x 4 x 4 x 4 _________________ 2) 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 _____________
3) 9 x 9 __________________ 4) p x p x p x p x p _______________
5) (10)(10)(10) _________________ 6) (14s)(14s)(14s) _______________
Find the square of each number. 4 squared = 4 x 4 = 42
1) 7 2) 13 3) 11 4) 1
5) 4 6) 10 7) 6 8) 8
Circle the numbers that are PERFECT squares:
6 18 36 49 55
64 73 100 122 169
Find the square root for each of the perfect squares
1) √ 44 = 2) √25 = 3) √8 =
4) √ 9 = 5) √ 25 = 6) √25 =
Estimate to find the two consecutive whole numbers between which the square root of a
given number lies.
1) √ 2 ______ ______ 2) √9 ______ ______ 3) √ 0 _____ ______
4) √3 ______ ______ 5) √ 70 _____ ______ 6) √55 ______ ______
7) √ 50 _____ ______ 8) √75 ______ ______ 9) √44 ______ ______
Compare the following values using <, >, or =.
1) 32 √ 4 2) 103 √4
3) √ 4 √8 4) 18 5
1