Definitions
What is a "factor"
a factor of x is a number n such that x is a multiple of n
x^2*x^4
x^6
3x^-2
3/x^2
Joanne is campaigning for class president and plans to distribute some campaign materials: 12 flyers and 18 buttons. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
six classrooms
Write the following in standard form:
4.652*10^5
465,200
What is a prime number.
x^2*x^-4
x^-2
x^5/x^2
x^3
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
36 inches high
Write the following in scientific notation:
0.0000435
4.35*10^-5
Two numbers are relatively prime if:
Their only common factor is 1
4x^-2*x*3*x^-3
12/x^4
(x^2y^5)/(xy^3)
xy^2
Elizabeth baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need? how many of each cookie will be in the containers?
She can have six containers with 5 oatmeal cookies and 8 chocolate chip cookies each
(8*10^-3)*(3*10^-2)
2.4*10^-4
What happens to the exponents when we multiply two numbers with the same base but different exponents?
they are added together
x^2y^3 2 x^-3 5x^2
10xy^3
(24x^3y^2)/(20x^8y)
(6y)/(5x^5
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?
Five times
(1.3*10^-4)*(4*10^-1)
5.2*10^-5
Why do we use scientific notation?
to better deal with very large and very small numbers
4x^-5y^2x^-3 3y^6
(12y^8)/x^8
(-16x^7)/(5z^6y^2)
(-16x^7)/(5y^2z^6)
Ben rides his bike every 15 days and Alex every 9 days. Ben and Alex both rode bikes today. How many days will it be until they ride together again? How many times will Alex ride her bike alone before she sees ben again?
It will be 45 days. She will ride her bike alone four times in that time
(6.2*10^8)*(6*10^-3)
3.72*10^6