Integer operation - Addition, Subtraction, Multiplication and Division

Hello friend !! Apne last topic me humne aapko Integer ke baare me full details me bataya tha. Jisme humne aapko isski defination, examples, isske types aur integer ko number line par present karna sikhaya tha. Agar aapne nahi padha toh humne niche link diya hai. Aap yaha se padh lijiye.
❒ Integer - defination, examples, types, symbol, number line
Aaj hum aapko integer ke 4 important operation- Addition, Subtraction, Multiplication aur Division ko examples ke saath full details me batane jaa rahe hai. Aaj hum aapko full details me batayenge ki,
➤ Integer ka addition kaise karte hai?
➤ Integer ka subtraction kaise karte hai?
➤ Integer ka multiplication kaise karte hai?
➤ Integer ka division kaise karte hai?

Inn sabhi ko hum full details aur examples ke saath batane jaa rahe hai. Toh chaliye aaj ka lesson start karte hai-:

Integer operation - Addition, Subtraction, Multiplication and Division

Integer ke 4 operation ko hum iss prakar se kar sakte hai. Sabse pahle hum integer ka addition karna sikh lete hai-:

1. Addition of integer (Poornanko ka jod) :
Two integer ka addition, normal addition ki tarah hota hai. Bas hume ye dhyaan dena hota hai ki, answer positive (+) hoga yaa negative (-).
Isme sign (+ or -) ka very important role hai. Isliye hume sign ka jaada dhyan dena hota hai. Sign ke hisaab se hum 2 prakar se integer ka addition karte hai-:
(a) Same sign integer ka addition
(b) Different sign integer ka addition

(a) Same sign integer ka addition:

(i). Dono number ko add kariye.
(ii). Sign (+ or -) lagaye-: Yadi dono integer positive hai toh positive (+) sign yaa negative hai toh negative (-) sign.

Example-: ⇒(+2)+(+5) = +7
                    or 2+5 = 7

                    ⇒(+24)+(+11) = +35
                    or 24+11 = 35

                    ⇒(-6)+(-3) = -9
                    or -6+(-3) = -6-3 = -9

                    ⇒(-11)+(-14) = -25
                    or -11+(-14) = -11-14 = -25



(b) Different sign integer ka addition:

(i). Dono number ko subtract kariye.
(ii). Sign (+ or -) lagaye-: Dono integer me se jo integer greater (bada) hoga (without sign), ussi ka sign lagaye.

Example-: ⇒(+5)+(-2) = +3
                       【+ ka sign kyuki 5>2】

                    ⇒(+31)+(-19) = +12
                       【+ ka sign kyuki 31>19】

                    ⇒(+12)+(-45) = -33
                       【- ka sign kyuki 45>12】

                    ⇒(-36)+(+51) = -15
                       【- ka sign kyuki 51>36】

2. Subtraction of integer (Poornanko ka ghatana) :
Two integer ka subtraction kaise karna hai? Issko hum ek question ke saath karenge. Jis se aapko integer ka subtraction ekdam achhe se samjh aayega.
Two integer ka subtraction karne ke liye nichey diya steps ko follow kare-:

Que-: (+4)-(+2) = ??
Step-1. Bracket hataa (remove) karke second number ka sign change kare.
Means, (+4)-(+2) = +4-2

Step-2. Agar step-1 me dono number ka sign same hai toh add(+) kare. Agar same nahi hai toh subtract(-) kare.
Means, (+4)-(+2) = +4-2 (same nahi, isliye subtract)
                  +4-2 = +2 (+ sign kyuki 4>2)
Means, (+4)-(+2) = +2 Ans.

Example-: ⇒(+23)-(+2)
                     = +23-2
                     = +21 Ans.

⇒(+41)-(+55)
 = +41-55
 = -14 Ans.

⇒(-12)-(-32)
 = -12+32
 = +20 Ans.

⇒(-57)-(-18)
 = -57+18
 = -39 Ans.



3. Multiplication of integer (Poornanko ka guna) :
Two Integer ka multiplication ekdam normal multiplication ki tarah hi hota hai. Kewal answer plus me hoga yaa minus me ye dhyaan dena hota hai.

Two integer ka multiplication karne ke liye nichey diye steps ko follow kare-:
(i). Dono number ko multiply kariye.
(ii). Sign (+ or -) lagaye-: Yadi dono integer ka sign same ho toh plus (+) ka sign lagaye. Yadi dono integer ka sign different ho toh minus (-) ka sign lagaye.

Example-: ⇒(+23)×(+2) = +46
                     ⇒(-14)×(-4) = +56
                    ⇒(+101)×(-21) = -2121
                    ⇒(-56)×(+34) = -1904

4. Division of integer (Poornanko ka bhaag) :
Multiplication ki tarah two integer ka division bhi normal division ki tarah hi hota hai. Isme bhi plus(+) aur minus(-) sign ka dhyaan dena hota hai.

Two integer ka division karne ke liye nichey diye steps ko follow kare-:
(i). Dono integer ko divide kariye.
(ii). Sign (+ or -) lagaye-: Same sign integer ke liye plus (+) aur different sign ke liye minus (-) lagaye.

Example-: ⇒(+45)÷(+9) = +5
                   ⇒ (-9)÷(-3) = +3
                   ⇒(+86)÷(-2) = -43
                   ⇒(-121)÷(+11) = -11


Ye bhi padhe-:

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