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Exponents
Scientific Notation
Roots and Types of Numbers
Relations and Functions
100
5^0 = ?
1. Any number to the zero power is 1.
100
Write this number in scientific notation > 50,000
50,000 5 x 10^4
100
Real Numbers, Rational Numbers, Integers, _____ _______, Natural Numbers
Whole Numbers
100
Does this pass the vertical line test? Why or why not?
No, because if you draw a line through the shape it passes through two points/
200
5^4 * 5^6 = ?
5^10. When you multiply exponents with the same base you add the exponents.
200
Add the two equations > 4.9 x 10^8 + 3.9 x 10^6
4.9 x 10^8 + 3.9 x 10^6 4.9 x 10^8 + .039 x 10^8 4.939 x 10^8
200
This number is a whole number, but not a counting number.
0. Nobody counts with zero.
200
Is this a relation or a function?
No, because the input 2 goes to 2 different outputs; 2 and 9.
300
4^-3 = ?
1/4^-3. Any number to a negative power is a fraction.
300
Write the scientific notation in standard form > 3 x 10^5
3 x 10^5 300,000
300
When finding a rational number you can see if this repeats...
the decimal. It's rational if you can see the repeating decimal.
300
List the range (9,3) (6,2) (4,7)(17, 9) (8,9)
Range {17, 9, 8, 6, 4}
400
4^10 ------ = ? 4^6
4^4. When you divide the exponents with the same base, you subtract the exponents.
400
Subtract these two equations > 4.6 x 10^10 - 2.7 x 10^9
4.6 x 10^10 - 2.7 x 10^9 4.6 x 10^10 - .27 x 10^10 4.33 x 10^10
400
3√27 = ?
3
400
List the domain (2,4) (9,3) (7,6) (14,8) (7,3)
Domain {14,9,7,2}
500
(5^7) * 3 = ?
5^21. When you take a power to a power, you multiply the exponents.
500
Multiply these equations > (4.5 x 10^6) x (2 x 10^-3)
(4.5 x 10^6) x (2 x 10^-3) 9 x 10^3
500
Define irrational numbers
Numbers in this family include 3.14159265359.... and 3√9
500
Does this relations pass the vertical line test?
Yes, because if you draw a vertical line through the shape it only goes through one point.