Number Theory
Divisibility
Prime Factors
Estimate the Square-root
Perfect Cubes and Cube-roots
100
Identify all the groups that apply to $${\pi}$$
a. Rational
b. Real
c. Irrational
d. Integer
What is b. Real and c. Irrational
100
What is the divisibility rule for 10?
If a number ends in zero then it is divisible by 10
100
What are the prime factors for 12?
What is $${2^2\cdot3}$$
100
Which two integers is the $${\sqrt{351}}$$ between? $$ \begin{matrix} a. \text{13 and 14}\\ b. \text{18 and 19}\\ c. \text{17 and 18}\\ d. \text{15 and 16}\\ \end{matrix} $$
What is b. 18 and 19
100
What is the $${\sqrt[3]{125}}$$
What is 5
200
Identify all the groups that apply to the number -537.8
a. Rational
b. Real
c. Irrational
d. Integer
What is a. Rational, b. Real, and d. Integer
200
What is the divisibility rule for 2?
If a number is even then it is divisible by two.
200
What are the prime factors for 147?
What is $${3\cdot7^2}$$
200
Which operator belongs inbetween $${\sqrt{0.0081} \text{ ? }0.09}$$? $$ \begin{matrix} a. \gt\\ b. \lt\\ c. =\\ \end{matrix} $$
What is c.=
200
Evaluate $${7^3}$$
What is 343
300
The number $${\frac{22}{7}}$$ is
a. Rational
b. Whole
c. Irrational
d. Integer
What is a. rational
300
What is the divisibility rule for 6?
If a number is divisible by both 2 and 3, then it is divisible by 6
300
What are the prime factors for 4332?
What is $${2^2\cdot3\cdot19^2}$$
300
The $${-\sqrt{97}}$$ is closer to which number? $$ \begin{matrix} a. \text{- 9.8}\\ b. \text{- 10.2}\\ c. \text{9.8}\\ d. \text{- 9.6}\\ \end{matrix} $$
What is a. - 9.8
300
Evaluate $${\sqrt[3]{0.216}}$$
What is 0.6
400
Zero is not included in which group
a. Rational numbers
b. Real Numbers
c. Counting numbers
d. Integers
What are c. Counting Numbers
400
What is the divisibility rule for 3?
If the sum of the digits of a number can be divided by three then the number is divisible by 3.
400
What are the prime factors for 91,125?
What is $${3^6\cdot5^3}$$
400
Simplify $${\sqrt{104}}$$ and leave the answer in radical form
What is $${6\sqrt{3}}$$
400
Evaluate $${9^3}$$
What is 729
500
The following is a set representing which number group {...-2,-1,0,1,2,...}
What are Integers
500
What is the divisibility rule for 8?
If the last three digits of a number are divisible by 8 then the entire number is divisible by 8.
500
What are the prime factors for 140,400?
What is $${2^4\cdot3^3\cdot5^2\cdot13}$$
500
What is the estimated $${\sqrt{47}}$$ to one decimal place using the ratio approximation method?
What is 6.8
500
Evaluate $${100^3}$$
What is 1,000,000