Exponents
Which of the following is a perfect square? Answer and explain.
A. 11
B. 20
C. 4
D. 8
C. because 2 x 2 = 4.
The sides of a square are 4 cm. What is the area of the square?
The area is 16 cm.
How do you say 6^2?
"Six Squared."
What is the perfect square of 8? Explain.
64 because 8 x 8 = 64.
A square has an area of 81 centimeters. What is the length of its sides?
The sides are 9 centimeters.
What is the square root sign (√) called?
A radical
What are the two different ways you can say 5^2?
"Five to the power of 2" and "five squared"
Five exponent 2
What is the perimeter of a square with sides that are 5 cm?
The perimeter is 20 cm.
James makes 15^2 a week. How much does he make in 3 weeks?
James makes $675 in three weeks.
15 x 15= 225
225 x 3 = $675
The area of a square garden is 2304 m2.
Find one side of the square garden.
48 m
because the square root of 2304= 48
48x 48= 2304
What is the square root of 0.0009?
0.03
You won a contest! You will be awarded one dollar on the first day, two dollars on the second day, and four dollars on the third day. The equation for the third day is 2^2. How many dollars will you receive on the 10th day?
You will receive $512 on the 10th day.
Marissa's mom offered her three different options for her weekly allowance. Her three options are: A. √36 x 2^2 dollars a week B. √9 x √121 dollars a week C. √169 x 2 dollars a week How much would she make with each option? Which option should she chose? Explain your work.
B earn $33 a week (√9 = 3, √121 = 11, and 3 x 11 = 33)
A, =$24 dollars (√36 = 6, 2^2 = 4, and 6 x 4 = 24)
C, = $26 a week (√169 = 13, and 13 x 2 = 26)
The largest of 4 digit numbers which is a perfect square is...
a) 9801
b) 9904
c) 9809
d) 9804
A) 9801
99x 99
You would like to tile the bathroom floor. The floor is 30 tiles long and 30 tiles wide. Is 95 tiles enough to tile the whole floor? Exactly how many tiles do you need?
95 tiles is not enough to tile the whole floor. You need exactly 900 tiles.
You just met Harry Potter and he gave you a magic coin! The coin doubles every day! On the second day, you have two coins and on the third day you have four coins. The equation for the third day is 2^2. Each coin is worth $10. How much money will you have on the 15th day? Explain how you got your answer.
You will have $163,840 on the 15th day. First, I found out how many coins you would have by solving 2^14 = 16,384. Next, I multiplied my answer by $10 by moving my decimal one place to the right, which gave me $163,840.