January 21, 2018 - Math Circle 1.0: Absolute Value & Logics

Logic

Here's the summary of our discussions on logic problems in the past two weeks.

Includes solutions to last week's homework and new homework for this week! 

Absolute Value

first, a motivating exercise on the number line:

 

Absolute Value definition

• defined as distance from the origin
• Use $| |$ to indicate absolute value
• if $x>0$ then $|x|=x$
• if $x<0$ then $|x|=-x$
• if $x=0$ then $|x|=0$

Absolute Value examples

First we went through a few questions like find the absolute value of -1, 10, 0, a zillion. Then:

hint: can x = 1? can x = 0? can x = 3? can x = a zillion?