SOLUTION: i need help with my - and + signs what are the rules

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Question 458473: i need help with my - and + signs what are the rules
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Rule 1:
Addition of two Numbers with the same sign
The result is the sum of the numbers with the given sign ( the sign of the two numbers ) .
When we add two plus numbers we get a plus number. Example : +3%2B6=9.
When we add two minus numbers we get a minus number. Example: -5+%2B+%28-+6+%29=+-+11 .
Rule 2 :
Addition of two numbers with different signs the resultis the difference between the numbers with the sign of the" bigger+number " .
Example: 6+%2B+%28-+9+%29=+-+3
Rule 3 :
Multiplication and signs :
The basic rules for multiplication and signs are as follows
%28Minus+%29%28+Minus+%29+=++Plus
%28+Minus+%29+%28+Plus+%29++=+Minus
%28Plus+%29+%28Plus+%29++=++Plus+

This can be expressed as follows that
(a) when we multiply two numbers with the same sign we get plus+
( b) when we multiply two numbers with difference signs we get a minus

Example :
+%28-+7%29+%2A+%28-+5%29+=++35

%28-7+%29%2A+5++=+-35

Rule 4 : Letters
Letters are often used in place of numbers , letters are often referred to as variables or unknowns .
Rules 1,2,3 above apply to all calculations with letters , we have to remember one+further+rule which applies to letters that is we+can+only+add+things+together+that+are+the+same+, in other words we can only add x's to x's and y's to y's etc .

Example
5a+-+7a+=+-+2a ....Note also 5a+means 5 timesa+.
or
+-+3x+%2B++7x++=+4x}
or
+5a+%2B+6b+-+4a+-+11b+%2C=+5a+-+4a++%2B+6b+-+11b+=++a+-+5b+
Rule 5 : Brackets
(a) A number immediately outside a bracket means that everything inside the bracket gets multiplied by that number
Ex.: 4%285%29=4%2A5=20
(b)Minus sign outside a bracket will change all the signs inside the brackets when the brackets are removed :
Ex.: -4%285%29=-4%2A5=-20
(c)Minus number outside a bracket does two things
(1) everything inside the bracket gets multiplied by the number and
(2) all the signs change

-%282x-3x%29=-2x%2B3x=x

Brackets by brackets :
Multiply everything in the second bracket by everything in the first bracket and tidy it up .
Ex.: %28x-1%29%28x%2B1%29=x%5E2%2Bx-x%2B1%2A%28-1%29=x%5E2-1