Give 3 examples of rational numbers that are NOT integers.
answers may vary
Ex: 1/2 2.5 -0.6
100
Approximate the square root of 53 to the nearest integer
7
200
(9^3)^5
9^15
200
What is the square root of 400/100
2
200
Convert 5/111 into a decimal
0.045045045...
200
Rational numbers are numbers that can be expressed as a ________.
Fraction OR ratio of two integers.
200
The square root of 98 falls between what two integers?
9 and 10
300
(8^4)(8^-6) in simplified STANDARD form
1/64
300
What is the square root of 0.49
0.7
300
What is 0.4242... as a fraction in simplest form.
14/33
300
Give an example of an irrational numbers and explain why it is irrational.
Answers may vary
Ex: Pi is an irrational number because it is a decimal that goes on forever without repeating or terminating. (it can not be expressed as a fraction).
300
Approximate the square root of 28
about 5.2 or 5.3
400
6^3 / 6^-5
6^8
400
What is the square root of -3136
no real roots
400
What is 0.303030... as a fraction in simplest form?
10/33
400
What is the lowest Natural Number?
1
400
Can you take the square root of a negative? Why or why not. Provide and example
You can not take the square root of a negative because a number times itself will never be negative, therefore a number squared will never be negative so you can not take the square root of a negative number. Ex: (-2)^2 = (-2)(-2) = 4
500
A rectangle has a length of 3^15 cm and a width of 3^12 cm. What is the area of the rectangle written as a power of 3?
3^27
500
what is the square root of 0.0169
0.13
500
What is 7/13 as a decimal. (Do not round)
0.538461...
500
Name all 5 types of numbers in our real number system.
natural, whole, integers, rational, irrational.
500
A rectangular pool has a length of 3m^2n^3 ft, a width of 2mn^2 feet, and a height of mn feet. If m = 2 and n = 3, how much paint will the owner need to paint the floor?