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# Positive Negative GMAT Notes | EduRev

Created by: Wizius Careers

## GMAT : Positive Negative GMAT Notes | EduRev

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PS  WC

WC  PD

positive and negative integers
instruction sheet

A. Rules for Adding Positive and Negative Numbers

Example:  (+6)  +  (+7)  =  +13

Example:  (-13)  +  (-24)  =  -37

To add numbers with different signs, find the difference between the two numbers
(subtract) and give the answer the sign of the larger number

Example #1:   (+17) +  (-6)  =  +11
Example #2:   (-32)  +  (+18)  =  -14

B.  Rules for Subtracting Positive and Negative Numbers

To subtract signed numbers (either positive or negative), change the subtraction sign to
addition and change the sign of the number that follows, then revert back to the addition
rules

Example #1:   (+8)  -  (+5)  =  (+8)  +  (-5)  = +3
Example #2:   (+7)  -  (-4)  =  (+7)  +  (+4)  =  +11
Example #3:   (-12)  -  (+6)  =  (-12)  +  (-6)  =  -18
Example #4:   (-23)  -  (-16)  =  (-23)  +  (+16)  =  -7

C.  Rules for Multiplying and Dividing Positive and Negative Numbers

With both multiplication and division, when the signs are the same, the answer will be
positive

Example #1:   (+5)  ×  (+7)  =  +35
Example #2:   (-5)  ×  (-7)  =  +35

Example #3:   (+10)  ÷  (+2)  =  +5
Example #4:   (-10)  ÷  (-2)  =  +5

Page 2

PS  WC

WC  PD

positive and negative integers
instruction sheet

A. Rules for Adding Positive and Negative Numbers

Example:  (+6)  +  (+7)  =  +13

Example:  (-13)  +  (-24)  =  -37

To add numbers with different signs, find the difference between the two numbers
(subtract) and give the answer the sign of the larger number

Example #1:   (+17) +  (-6)  =  +11
Example #2:   (-32)  +  (+18)  =  -14

B.  Rules for Subtracting Positive and Negative Numbers

To subtract signed numbers (either positive or negative), change the subtraction sign to
addition and change the sign of the number that follows, then revert back to the addition
rules

Example #1:   (+8)  -  (+5)  =  (+8)  +  (-5)  = +3
Example #2:   (+7)  -  (-4)  =  (+7)  +  (+4)  =  +11
Example #3:   (-12)  -  (+6)  =  (-12)  +  (-6)  =  -18
Example #4:   (-23)  -  (-16)  =  (-23)  +  (+16)  =  -7

C.  Rules for Multiplying and Dividing Positive and Negative Numbers

With both multiplication and division, when the signs are the same, the answer will be
positive

Example #1:   (+5)  ×  (+7)  =  +35
Example #2:   (-5)  ×  (-7)  =  +35

Example #3:   (+10)  ÷  (+2)  =  +5
Example #4:   (-10)  ÷  (-2)  =  +5

PS  WC

WC  PD

When the signs are different in a multiplication or division problem, the answer will be
negative

Example #1:   (+8)  ×  (-7)  =  -56
Example #2:   (-12)  ×  (+4)  =  -48

Example #3:   (+9)  ÷  (-3)  =  -3
Example #4:   (-14)  ÷  (+2)  =  -7

D.  Order of Operations and Positive and Negative Numbers

When a number of mathematical operations are to be performed in a problem, you must
follow a specific order for solving the problem

Step 1 – Do anything that is inside parentheses
Step 2 -  Solve anything that contains an exponent (a power – 5
2
– the 2 is the exponent
and it means the  base number is to be multiplied by itself that number of times, so
5
2
= 5 ×5 = 25)
Step 3 – Solve any multiplication or division within the problem, moving from left to
right
Step 4 – Solve any addition or subtraction within the problem, moving from left to right

Example #1:   -2(12 – 8)  +  -3
3
+  4  •  -6
-2(4)  +  -3
3
+  4  •  -6
-2(4)  +  -27  +  4  •  -6
-8  +  -27  +  -24
-35  +  -24
-59

Example #2:     -3  +  4(2 - 6)
2
÷  -2
-3  +  4(-4)
2
÷  -2
-3  +  4(16)  ÷  -2
-3  +  64  ÷  -2
-3  +  -32
-35

If the operations to be performed are in fractional form, solve the numerator first, then the
denominator, then reduce.

Example:  7(-4)  -  (-2)     =     (-28) -  (-2)     =     -26     =     -2
8  -  (-5)        13        13

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