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
100
When multiplying numbers in scientific notation, what should you do with the exponents?
add them together
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 square root of -9?
NO SOLUTION!
200
Simplify. Write your answer using only positive exponents.
(3x3)(4x9)
12x12
200
Write -6.73737373... as a fraction.
-6 73/99
200
When multiplying numbers in scientific notation, what should you do with the coefficients?
multiply them
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
When raising a power to another power, you should ____________ the exponents.
multiply
300
Which is greater?
1/5 or 0.23
0.23
300
multiply: (4 x 10-4)(-2 x 10-3)
-8 x 10-7
300
What does scientific notation help us/allow us to do?
It allows us to write very small and very large numbers in a more compact way.
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
When dividing numbers in scientific notation, what should you do with the exponents?
subtract them
400
Is 0.45 x 104 written in correct scientific notation? If not, how do you know?
No, there should be a digit 1-9 to the left of the decimal point
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 10-4) / (-2 x 10-3)
-2 x 10-1
500
Adjust the coefficient and exponent in order to write this number in correct scientific notation.
10.2 x 109
1.02 x 1010