Exponents
How do you express 2 x 2 x 2 in exponent form?
23
What is the square root of 4 ( or √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 = 4.
The sides of a square are 4 centimetres. What is the area of the square?
The area is 16 centimetres2.
How do you say 65?
"Six to the power of five."
or 6 x 6 x 6 x 6 x 6
What is 45 in expanded form?
4 x 4 x 4 x 4 x 4
Solve. √49 =
7
What is the perfect square of 8? Explain.
64 because 8 x 8 = 64.
A square has an area of 81 centimetres2. 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 24
16
What is the square root of 1012 (or √1012 )?
101
What are the two different ways you can say 52?
"Five to the power of 2" and "five squared"
What is the perimeter of a square with sides that are 5 centimetres?
The perimeter is 20 centimetres.
James makes 152 a week. How much does he make in 3 weeks?
James makes $675 in three weeks.
Solve 62
36
Solve. √9 x √121 =
33
Solve. (perfect square of 7) + (the perfect square of 3) =
49 + 9 = 58.
The length of a quadrilateral is 9 centimetres and the width is 8 centimetres. What is the area of the quadrilateral?
The area is 72 centimetres.
You would like to frame your artwork with fancy rope. The picture is 6 centimetres long and 7 centimetres wide. You want to buy 5 more centimetres than you need, just to be safe. How much rope do you need? Explain how you got your answer.
You will need 31 centimetres 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 centimetres to be safe. 26 + 5 = 31. That is why you will need to buy 31 centimetres of rope.
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 22. How many dollars will you receive on the 10th day?
You will receive $512 on the 10th day.
2x2=4x2=8x2=16x2=32x2=64x2=128x2=256x2=
512
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 √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.
She should chose option B because she would earn $33 a week (√9 = 3, √121 = 11, and 3 x 11 = 33). 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 $26 a week (√169 = 13, and 13 x 2 = 26).
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 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 214 = 16,384. Next, I multiplied my answer by $10 by moving my decimal one place to the right, which gave me $163,840.