seen from China
seen from Netherlands
seen from Hong Kong SAR China
seen from United States
seen from United States
seen from China
seen from China
seen from Singapore
seen from United States
seen from Türkiye
seen from Egypt
seen from China
seen from Spain
seen from Egypt
seen from Malaysia
seen from Egypt
seen from Bulgaria
seen from United States
seen from China
seen from Uzbekistan
Scientific Notation
Standard Form: 100
SN: 1 x 10^2
Decimal Form: 0.01
SN: 1 x 10^(-2)
.
REMEMBER: non-exponent # first, then exponent number
HACK: think of counting exponents as # of times you move decimal point over. Draw it out and count it physically, even Silly Wizards do it 😜
<<< + exponents
>>>> - exponents
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
Free to watch • No registration required • HD streaming
Mid Unit Reminder
General
(1st inside)^ (exponents 2nd)
Remember PEMDAS
Solving equations with #’s
Ex. (3x + x + y)^3 , x=1, y=2
1st (simplify)^later
(4x + y) ^3
2nd (simplified)^NOW
(4^3)(x^3) + (y^3)
3rd equation solution —> plug in
(4^3)(1^3) + (2^3)
4th solve
256 + 1 + 8
5th solution
266
Unit 11
Property of Exponents
“a” and “b” —> real #’s
“x” and “y” —> integers
Integer —> whole numbers with no fractions
Remember
Mappy’s Review Problems
Silly wizard edition
Application Problem Steps
*sometimes people split up step 1 into 2 steps from unknowns and unknowns
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
Free to watch • No registration required • HD streaming
Solving Absolute Value
Definition: distance from zero
.
Solve
Isolate Absolute Value
Rewrite in 2 equations: one (+) and one (-)
.
Complex example
.
Inequalities
6 > 3 (6 is greater than 3)
6 ≥ 3 (6 is greater than or equal to 3)
Graphing on a line:
Notation:
> or < —-> o (open dot) or ( )
≥ or ≤ —> . (closed dot) or [ ]
Graph:
*remove arrow for bracket
Double Check
Check endpoint (x > 6, ep: 6)
Pick # in solution (ex. 7)
General Flipping Hack
When flipping an inequality,
6 > x —> x __ 6
make sure arrow keeps pointing toward or away from variable as originally
6 > x , points toward x
x < 6
Multiplying & Dividing
When dividing by a negative,
flip the inequality sign when divided by negative
Practice
6 Step Application Question
1) Sketch
2) Variables
Ex. W=width, L=Length
3) Equation
4) Solve
5) Check
6) Answer
Ex. Width =___ m, Length = __ m
Written out ok
