Square and Cubic Roots
Exponent Rules
Scientific Notation
Operations with Scientific Notation
Vocabulary
100
+11 and -11
What is the square root of 121?
100
125
What is 5^3?
100
26,000
What is 2.6 x 10^4 in standard notation?
100
5.84 x 10^4
(6.4 x 10^3) + (5.2 x 10^4)
100
Square Root
What do you use to find the length of one side of a square?
200
+ 4/13 and - 4/13
What is the square root of 16/169?
200
1/49
What is 7^-2
200
1.70321 x 10^6
The population of a large U.S. city is 1,703,210. What is this population expressed as scientific notation?
200
5.19 x 10^7
(5.1 x 10^7) + (1.3 x 10^6)
200
Exponent's powers
When multiplying exponents, what do you add together?
300
20 inches
An artist wants to frame a square painting with an area of 400 square inches. She wants to know the length of the wood trim that is needed to go around the painting. What is the length of one side of the painting?
300
1
What is 64^0
300
9.23 x 10^-5
What is the scientific notation for a length of 0.0000923 centimeter?
300
4.16 x 10^17
(3.2 x 10^8) x (1.3 x 10^9)
300
Negative
When the factor that is being multiplied by 10 in a scientific notation problem is between 1 and 10, the exponent is what?
400
6
What is the cubic root of 216?
400
r^12
What is (r^4)^3
400
1.1 x 10^-4
A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
400
2 x 10^4
(8.8 x 10^7) / (4.4 x 10^3)
400
Order of Operations
When a problem has more than one operation, I use what?
500
4/7
What is the cubic root of 65/343?
500
n^3
What is n^6 x n^-3
500
9
A distance of 6.5 ×10^8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?
500
6 x 10^7
(1.44 x 10^10) / (2.4 x 10^2)
500
The exponents' have the same base.
You can use the exponent rules, only when....