Irrational/Rational
Intervals
Real Numbers
Roots
Logarithms
100
These rational numbers are referred to as "the counting numbers" and they include 1, 2, 3,...
Natural numbers
100
What is a half open interval (a, b]?
A set of numbers between a and b, including b but not including a.
100
True or False: Some real numbers can be classified as both rational and irrational.
True
100
In the formula 
, what does a represent?
The radicand.
100
What is log2 8 = ?
3
200
What is the difference between a rational number and an irrational number?
Rational numbers can be expressed as the quotient between two integers. Irrational numbers cannot. Irrational numbers are expressed as decimals that are infinite and not repeating. Irrational numbers cannot be expressed as fractions.
200
Draw (4, 8) on a number line.
_________________________
o___________o
4 8
200
Is √169 natural, a negative integer, fractional, or irrational?
Natural (√169 = 13)
200
Express ∛64 as a power.
641/3
200
Write the equation log3 729 = 6 in exponential form.
36 = 729
300
Is π an irrational or a rational number?
Irrational
300
Write 2 < x ≤ 3 in interval form then draw it.
(2, 3]
________________________
o______________@
2 3
300
Is -√3 natural, a negative integer, fractional, or irrational?
Irrational.
300
Simplify √18 in radical form.
√18 = 3√2
300
Solve log4 1,024 =
5
400
Is √2 a rational number or irrational?
Irrational
400
Write [–1, +∞) as an inequality and draw it.
{x/ x ≥ -1 }
_______________________
@------------------------>
-1
400
Approximately represent 
as a real number rounded to the hundredths place.
3,85 (3,8464 rounded to the hundredths place)
400
Simplify (√15)/(√20)=
(√3/4)
400
Solve log√ 2 5 = (round to the nearest thousandth)
4.644
500
Is ∛343 a rational or irrational number?
Rational (∛343 = 7).
500
For which values of x is the following expression true?
Square root of (x+2)(x-3)
x ≤ –2 or if x ≥ 3
(-
___________________________________
<-----------@ @------------->
-
500
What does 
represent?
The golden ratio.
500
Rationalize the following:
(√12)/(√7 + √3)
3√7−3√3
see the answer here: https://www.mathway.com/popular-problems/Algebra/802735
500
Solve log2 3 - log2 24 =
-3