Vocabulary
The Number System
Exponents
Scientific Notation
Problem Solving
100
Definition of a rational number
What is a number that can be expressed as a fraction (ratio)?
100
The number of solutions to the equation x2 = 9.
What is two, 3 and -3.
100
General rule of the zero product property.
What is any number to the zero power is 1 (except zero), or
a^0=1, a!=0
100
40,000,000 written in scientific notation
What is
4 \times 10^7
100
Between which two whole numbers would you place the square root of 40 on a number line?
What is 6 and 7?
200
Definition of an irrational number
What is a number that is not rational, a decimal that does not repeat and never ends?
200
The solution to the following equation:
x^3=-1/216
What is
x=-1/6
200
Simplified with positive exponents:
8^3*8^4
What is...
8^7
200
Fact about the factor a in scientific notation
What is a has to be greater than or equal to 1 or less than 10.
1<=a<10
200
The dimensions of the table top of a small square table with an area of 0.25 square meters.
What is 0.5 meters x 0.5 meters?
300
Definition of scientific notation
What is a way to write large or small numbers by expressing it as a factor multiplied by a power of 10?
300
All names that apply to the following number:
-sqrt(121)
What is integer, rational number, and real number?
300
General rule of the negative exponent property.
What is any number raised to a negative power is the same as the reciprocal of the number raised to the positive power, or
(a/b)^-n=(b/a)^n, or a^-n=1/a^-n
300
The following number in standard form
5.67\times10^-4
What is
0.000567
300
The new exponent when the following is multiplied by 10:
6.5\times10^-6
What is -5?
400
Definition of a perfect square.
What is a number whose square root is an integer?
400
This decimal as a fraction:
0.\overline{41}
What is
41/99
400
The following expression simplified:
(x^10y^13)^3
What is...
x^30y^39
400
The value of the following in scientific notation:
(2.4\times10^-6)/(1.2\times10^-3)
What is
2\times10^-3
400
The number of zeros needed after the decimal to write the diameter of the Milky Way Galaxy in standard form.
What is 20?
500
Definition of the square root of a number.
What is another number that when multiplied by itself two times gives the specified number?
500
In order from least to greatest:
(3pi)/4, sqrt(5), 15/7
What is
15/7, sqrt(5), (3pi)/4
500
The following expression simplified:
-((3a^-5b*2b^2)/(2^-1a^-3b))^2
What is...
-(144b^4)/a^4
500
The value of the following in scientific notation:
1.9\times10^10+4.5\times10^8
What is
1.945\times10^10
500
The new length (in scientific notation) of a small organism who tripled in size from the following length:
7.5\times10^-6\text{meters}
What is
2.25\times10^-5 \text{meters}