1.1.6   Multiplying  Rational Numbers   ("Adaptive" Learning)

This lesson on multiplication uses numbers of mixed signs (positive and negative).   Multiply the 1st number $  by the 2nd % to get the answer.    

  Multiplication Table  
Ref #     Fact Ref #     Fact
1.   1 *  1 =  1 5.   0 *  0 =   0
2.   1 *  0 =  0 6.  -1 * -27 =27
3.   1 * -1 = -1 7.  -1 *  0 =  0
4.   0 * -1 =  0 8.  -5 *  1 = -5
9  5 * -7 = 35    

   Examples: 
 $10,000 *  2% =  $200 ( 0.02 * 10,000).

 $10,000 * -3% = -$300.  

-$10,000 *  4% = -$400.
-$10,000 *  5% =  $500.x

[Both  "x"  and  "*represent multiplication.    "*(asterisk) is used by Programmers.]
 pos * pos    =  pos.
 neg * neg    =  pos. 
  
 mixed signs =  neg.
Suggest you spend enough time with practicing below until you understand Multiplication with mixed signs.

   Operand #1   Operand #2   Result

x

=

   Credit Question: do the problem below.  (10 points for correct answer).   
              Total points    80 points to pass.
 
x          
  =      Enter answer.             

Note (1) to Student  from Administrators,  Teachers,  Programmers and Network Specialists -- Keep pressing "See Answer" until you get simple problems  you can understand -- build up points with them,   then gradually do harder  -- and more difficult ones --  until you have "conquered" the concept,  ready to "move on",  with a good "sense of numbers"!!!!

Note (2) to Teachers -- This lesson covers the large range of possibilities for Multiplication.  It generates whole numbers, and decimals, both positive and negative,  and helps create "Number Sense" 2 ways: (1) by stating "how far off" the answer is,  and (2) stating what the operand would have to be for the answer submitted!   Suggest that a lot of time be spent using this lesson until students can multiply  decimal numbers with mixed signs very competently.