https://padlet.com/25wangj/u8rmd8hna2iz By Joshua Wang en-us 2017-03-13 15:17:15 UTC 2017-05-17 06:10:49 UTC hello@padlet.com 25wangj https://padlet.com/25wangj/u8rmd8hna2iz/wish/159709387 Absolute value is the distance of any number, positive or negative from zero on a number line. An absolute value is always positive, regardless of the number it is operated on. 
(DOES NOT WORK ON ZERO.)

Absolute value is expressed like this:
       |a|
("a" being the number that is operated on.)
      -|a| 
is always negative. 
      |-a|
is always positive.]]> 2017-03-13 15:20:04 UTC https://padlet.com/25wangj/u8rmd8hna2iz/wish/159709387 25wangj https://padlet.com/25wangj/u8rmd8hna2iz/wish/159988240 Multiplication:                        Addition: 
     4 * (-7) = -28                            (-3) + 8 = 5
    (-5) *  (-4) = 20                         (-4) + (-5) = -9
    3.5 * 9 = 31.5                           8 + 6.75 =14.75
Division:                                  Subtraction: 
   (-6) / 3 = -2                                (-14) - 12 = -26
   (-5) / (-4) = 1.25                       (-12) -  (-9) = -3         8.8 / 4 = 2.2 3.2 - 2.3 = 0.9]]> 2017-03-14 14:18:02 UTC https://padlet.com/25wangj/u8rmd8hna2iz/wish/159988240 25wangj https://padlet.com/25wangj/u8rmd8hna2iz/wish/159992656 Assuming "a" and "b" are both positive integers:
Addition:                                                                                      Subtraction:
     If  (a > b):                                                                                      if (b > a):
          (-a) + b = -(a - b) , which is negative,                                         (-b) - (-a) =  - ( b - a) , which is negative,
          a + (-b) =  a - b , which is positive,                                             (-b) - a = -( b + a), which is negative,
          a +  b  is positive, and                                                                  b - (-a) = b + a , which is positive, and 
          (-a) + (-b) = -( a + b) , which is negative.                                  b - a  is  positive]]> 2017-03-14 14:30:34 UTC https://padlet.com/25wangj/u8rmd8hna2iz/wish/159992656 25wangj https://padlet.com/25wangj/u8rmd8hna2iz/wish/160000149 Assuming "a" and "b" are both positive integers: 
Multiplication:                                    Division: 
      (-a ) * b is negative,                            (-a) / b is negative, 
      a * (-b) is negative,                             a / (-b) is negative. 
      (-a)  * (-b) is positive, and                 (-a) / (-b) is positive, and
      a *  b is positive.                                a / b is positive. 
As you can see, in multiplication and division, an even number of minus signs cancel out.
 ]]> 2017-03-14 14:49:53 UTC https://padlet.com/25wangj/u8rmd8hna2iz/wish/160000149 25wangj https://padlet.com/25wangj/u8rmd8hna2iz/wish/160258050 Negation is the property of numbers that shapes the rules of multiplying and dividing with negative integers. The formula of negation is this ("a" being the number that is negated):
         0 - a = (-a) 
or this:
         a - 2a = (-a) 
This works for negative numbers, too. 
         0 - ( -a ) = 0 + a =  -(-a) = a 
or this:
         (-a) - 2(-a) = -a + 2a = -(-a) = a
As you can see, negating a number an even number of times results in the same number.         ]]> 2017-03-15 14:19:00 UTC https://padlet.com/25wangj/u8rmd8hna2iz/wish/160258050