Real Number System
Square & Cube Roots
Exponent Rules
Compare & Convert Rational Numbers
Operations with Scientific Notation
Scientific Notation
100
Every number falls under the _____ Numbers Umbrella.
REAL
100
What is the square root of 16?
4
100
Simplify. Write your answer using only positive exponents.
100
Write 4.4 as a fraction. Fully reduce/simplify.
4 2/5 or 22/5
100
When adding and subtracting numbers in Scientific Notation, what must you do with the exponents before you start? and what operation happens between the exponents? (i.e addition, subtraction, multiplication, division, none...)
You must first make sure the exponents are the same before you start and the exponents stay same so there is no operation done between them.
100
Write 560,000 in scientific notation.
5.6 x 105
200
Any number that can be written as a fraction is called a _________ number.
Rational
200
What is the fifth root of 3,125?
5
200
Simplify. Write your answer using only positive exponents.
(x3)(x9)
x12
200
Write -6.33333333... as a fraction.
-6 1/3 or -19/3
200
add: (4 x 104) + (2 x 103)
4.2 x 104
200
Write 4.75 x 104 in standard form.
47,500
300
The category of Rational Numbers breaks down into 3 additional categories. What are they?
Integers, Whole Numbers, Natural Numbers
300
What is the square root of the fraction 4/9?
2/3
300
Solve the expression.
(10 - 6)^3 x 4^2 + (10 +2)^2
1168
300
Which is greater?
1/5 or 0.23
0.23
300
subtract: (4 x 104) - (2 x 103)
3.8 x 104
300
Is this number written in Scientific Notation? If no, then rewrite it in Scientific Notation.
76 x 103
7.6 x 104
400
Rational or Irrational AND why?
3.21212121...
Rational because it is a decimal that repeats.
400
What is the cube root of 8?
2
400
Simplify: (x2y5)0
1
400
Order least to greatest:
1/3, 0.5, 2/10
2/10, 1/3, 0.5
400
multiply: (4 x 104)(2 x 103)
8 x 107
400
Is 3.45 x 1004 written in correct scientific notation? If not, how do you know?
No, there will always be a base 10 with the exponent, not a base of 100.
500
What is the smallest category or set of Real Numbers that 0 belongs to?
Whole Numbers
500
The area of a square is 49 m2. What is the length of each side?
7 m
500
Use the negative exponents rule to simplify:
m-4
1/m4
500
Order least to greatest:
-1/5, -2, -0.25
-2, -0.25, -1/5
500
divide: (4 x 104) / (2 x 103)
2 x 101
500
Adjust the coefficient and exponent in order to write this number in correct scientific notation.
10.2 x 109
1.02 x 1010