Exponents
What is the square root of 4?
2
Which of the following is a perfect square? Answer and explain. A. 11 B. 20 C. 4 D. 8
C. because 2 x 2=22 = 4.
The sides of a square are 4 inches. What is the area of the square?
The area is 16 inches.
How do you say 6^5?
"Six to the fifth power."
What is 52 in expanded form?
5x5
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 do you need to do to the area of a square to find the length of its sides?
Take the square root of the area.
Solve 42
16
What are the two different ways you can say 5^2?
"Five to the second power" and "five squared"
James makes 12^2 a week. How much does he make in 3 weeks?
James makes $432in three weeks.
Solve 62
36
Solve. √9 x √64 =
24
Solve. (perfect square of 7) + (the perfect square of 3) =
49 + 9 = 58.
The length of a quadrilateral is 9 centimeters and the width is 8 centimeters. What is the area of the quadrilateral?
The area is 72 centimeters.
You would like to frame your artwork with fancy rope. The picture is 6 inches long and 7 inches wide. You want to buy 5 more inches than you need, just to be safe. How much rope do you need? Explain how you got your answer.
You will need 31 inches of rope. Since you are framing the picture, you need to find the perimeter. 6 + 6 + 7 + 7 = 26. You want to buy 5 extra inches to be safe. 26 + 5 = 31. That is why you will need to buy 31 inches of rope.
What is the area of a square with sides of length 5? Explain
The area is 25 because the area of a square is length x length = length2= 52=25.
Marissa's mom offered her three different options for her weekly allowance. Her three options are: A. √36 x 22 dollars a week B. √9 x √100 dollars a week C. √81 x 3 dollars a week How much would she make with each option? Which option should she chose? Explain your work.
She should chose option B because she would earn $30 a week (√9 = 3, √100 = 10, and 3 x 10 = 30). If she chose option A, she would only make $24 dollars (√36 = 6, 22 = 4, and 6 x 4 = 24), and if she chose option C, she would only make $27 a week (√81 = 9, and 9 x 3 = 27).
Explain why we call it a "Perfect Square." Be specific!
When finding the area of a square, you multiply length times width. In a square, all four sides are equal. Therefore, when you find the area of a perfect square, you are multiplying the same number by itself.
You would like to tile the bathroom floor. The floor is 10 tiles long and 10 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 100 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.