Positive Negative GMAT Notes | EduRev

Created by: Wizius Careers

GMAT : Positive Negative GMAT Notes | EduRev

 Page 1


PS  WC 
 
WC  PD 
 
positive and negative integers 
instruction sheet 
 
 
A. Rules for Adding Positive and Negative Numbers 
 
To add two positive numbers, add and keep the positive sign 
 
 Example:  (+6)  +  (+7)  =  +13 
 
 
To add two negative numbers, add and keep the negative sign 
 
 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 
 
To add two positive numbers, add and keep the positive sign 
 
 Example:  (+6)  +  (+7)  =  +13 
 
 
To add two negative numbers, add and keep the negative sign 
 
 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 
 
 
 
 
 
Read More
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Content Category

Related Searches

Exam

,

Important questions

,

Positive Negative GMAT Notes | EduRev

,

video lectures

,

pdf

,

MCQs

,

Previous Year Questions with Solutions

,

Semester Notes

,

study material

,

practice quizzes

,

Positive Negative GMAT Notes | EduRev

,

Positive Negative GMAT Notes | EduRev

,

Summary

,

Free

,

ppt

,

mock tests for examination

,

past year papers

,

Sample Paper

,

Viva Questions

,

Extra Questions

,

Objective type Questions

,

shortcuts and tricks

;