Hello friend !! Number system me abhi tak hum, natural number aur whole number ke baare me achhe se jaan chuke hai aur saath hi saath innke properties bhi hum acche se samjh aur sikh chuke hai. Aaj hum issi number system ke lesson ko aage badhate huye iske ek aur important topic ke baare me full details me batane jaa rahe hai.
Aaj hum aapko Number system me integer ke baare me full details me batane jaa rahe hai. Aaj hum aapko integer ki puri jaankari denge. Hum puri koshish karenge ki, issko padhane ke baad aapko iss topic me koi bhi doubt naa rahe. Integer ke baare me aaj hum jo kuch bhi jaanane waale hai uski puri list kuch iss prakar se hai-:
❒ Integer kya hota hai?
❒ Integer ki defination kya hoti hai?
❒ Integer ka symbol and example.
❒ Set of integer (Poornanko ka samuchya)
❒ Integer ke kitne types hote hai?
❒ Positive aur negative integer kya hota hai?
❒ Integer ko Number line par kaise prakat karte hai?
Uppar diye inhi point ko hum ek-ek karke full details me jaanenge. To chaliye aaj ka lesson start karte hai-:
Matlab ye huaa ki, agar hume integer ko jaanana hai toh hume pahle whole numbers aur negative numbers ko jaanana hoga.
Whole numbers ke baare me hum pahle hi bata chuke hai. Agar aapne nahi padha toh sabse uppar humne link diya hai aap waha se padh lijiye.
Ab hum aapko negative numbers ke baare me abhi bata dete hai.
Negative numbers (opposite numbers)
Wo sabhi number negative number hote hai jinke saath minus sign (-) laga hota hai. Jaise -1, -2, -3, -4, -5 .....
Ye numbers "0" se chhote (less) hote hai. Inn numbers ko "opposite number" bhi kahte hai. Sabhi number ka ek fix negative number yaa opposite number hota hai.
Lekin "0" ko koi negative number nahi hota hai.
【Note-: Humesha yaad rakhe ki, "Zero "0" naa toh negative number hai aur naa hi positive number hai."】
Agar aapko kisi number ka negative number maalum karna hai toh bus ussi number ke aage minus (-) ka sign laga dijiye.
Jaise-: Agar aapko 67 ka negative yaa opposite number maalum karna hai toh aap 67 ke aage minus ka sign lagayiye.
Means , 67 ka opposite number = -67
Nichey diye first 10 numbers ke negative numbers ke list ko dekhiye.
First 10 numbers aur unnke negative numbers list-:
Toh yahi sabhi whole numbers aur negative numbers milkar integer ka set banate hai.
Example-: 2, 43, 0, -5, -235, -2100 etc. sabhi integer hai.
❒ Divisiblity rules | Vibhajyata ke niyam
❒ Trigonometric Ratios of 45 degree in hindi
❒ 3 steps multiplication shortcuts tricks 2-digit numbers
Hume ummid hai ki, aapko aajka ye integer lesson achhe se samjh aaya hoga. Ab integer ke baare me aapki sabhi doubt dur ho gayi hogi.
Agar phir bhi koi doubt yaa koi problem yaa koi question puchhana ho toh aap hume comment yaa humare Facebook page par massage karke puchh sakte hai. Hum aapki puri help karne ki koshish karenge.
Agar aapko bhi koi math ka topic sikhna hai toh aap hume bataye ki, "Next lesson me aap kon-sa math topic sikhna chahte hai?" Hum uss topic ko full detail me aapko sikhayenge.
Agar aapko aaj ka lesson helpful laga ho toh please issko apne friend ke saath share karna naa bhule. Aapke share karne se hum bahot motivate hote hai. So please ek share jarur kare.
Aaj hum aapko Number system me integer ke baare me full details me batane jaa rahe hai. Aaj hum aapko integer ki puri jaankari denge. Hum puri koshish karenge ki, issko padhane ke baad aapko iss topic me koi bhi doubt naa rahe. Integer ke baare me aaj hum jo kuch bhi jaanane waale hai uski puri list kuch iss prakar se hai-:
❒ Integer kya hota hai?
❒ Integer ki defination kya hoti hai?
❒ Integer ka symbol and example.
❒ Set of integer (Poornanko ka samuchya)
❒ Integer ke kitne types hote hai?
❒ Positive aur negative integer kya hota hai?
❒ Integer ko Number line par kaise prakat karte hai?
Uppar diye inhi point ko hum ek-ek karke full details me jaanenge. To chaliye aaj ka lesson start karte hai-:
Integer number kya hote hai?
Integer ko hindi me "poornaank (पूर्णांक)" kahte hai. Integer bhi natural number aur whole number jaise number hote hai. Integer, whole numbers aur negative numbers ke set hote hai.Matlab ye huaa ki, agar hume integer ko jaanana hai toh hume pahle whole numbers aur negative numbers ko jaanana hoga.
Whole numbers ke baare me hum pahle hi bata chuke hai. Agar aapne nahi padha toh sabse uppar humne link diya hai aap waha se padh lijiye.
Ab hum aapko negative numbers ke baare me abhi bata dete hai.
Negative numbers (opposite numbers)
Wo sabhi number negative number hote hai jinke saath minus sign (-) laga hota hai. Jaise -1, -2, -3, -4, -5 .....
Ye numbers "0" se chhote (less) hote hai. Inn numbers ko "opposite number" bhi kahte hai. Sabhi number ka ek fix negative number yaa opposite number hota hai.
Lekin "0" ko koi negative number nahi hota hai.
【Note-: Humesha yaad rakhe ki, "Zero "0" naa toh negative number hai aur naa hi positive number hai."】
Agar aapko kisi number ka negative number maalum karna hai toh bus ussi number ke aage minus (-) ka sign laga dijiye.
Jaise-: Agar aapko 67 ka negative yaa opposite number maalum karna hai toh aap 67 ke aage minus ka sign lagayiye.
Means , 67 ka opposite number = -67
Nichey diye first 10 numbers ke negative numbers ke list ko dekhiye.
First 10 numbers aur unnke negative numbers list-:
Toh yahi sabhi whole numbers aur negative numbers milkar integer ka set banate hai.
Integer ki defination kya hoti hai?
Integer ke baare me jaanane ke baad ab hum isska defination jaan lete hai.
Defination of integer-:
"Whole numbers (e.g. 0, 1, 2, 3,..) aur negative numbers (e.g. -1, -2, 3, ...) ke complete set ko hum integer kahte hai."Defination of integer-:
Example-: 2, 43, 0, -5, -235, -2100 etc. sabhi integer hai.
Integer symbol aur isske more Examples:
Integer ko German word Zahlen ke first letter "Z" se denote karte hai. Zahlen ka matalab hota hai, "numbers" .
Examples of integer-: Isske defination se clear ho gaya hai ki, kewal whole numbers aur negative numbers hi integer hote hai. Toh iss prakar se 0, 23, 5, 567, -34, -53, -7895 etc integer ke example hai.
Non examples of integer-: 1.2, 3.05, 2/5, -6/9, -1.7, -65.3 etc. Integer ke examples nahi hai.
Set of integer (Poornanko ka samuchya) -:
Integer ke set ko Z se prakat karte hai. Z me sabhi whole numbers aur sabhi negative numbers hote hai. Toh iss prakar se hum Z ke set ko prakat kar sakte hai-:
Z = { ......-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ......}
1. Positive integer-: Positive integer ko hindi me "dhanaatmk poornank (धनात्मक पूर्णांक)" kahte hai. Jin numbers ke aage yaa toh "plus (+)" ka sign ho (jaise +5, +67, +124...) yaa phir koi bhi sign naa ho (jaise 23, 98, 109...) toh unn numbers ko positive integer kahte hai.
Example-: +1, +54, +731, 45, 689, 2314 etc. sabhi positive integer hai.
2. Negative integer-: Negative integer ko hindi me "Rinaatmk poornank (ऋणात्मक पूर्णांक)" kahte hai. Jin numbers ke aage "minus (-)" ka sign ho (jaise -3, -78, -358...) toh unn numbers ko hum negative integer kahte kahte hai.
Example-: -4, -70, -675, -9002 etc. sabhi negative integer hai.
3. Zero integer-: Zero integer matlab "sunya poornank (शून्य पूर्णांक)" , 0 bhi ek integer hai. Zero "0" hi kewal ek aisa integer hai jo naa toh positive integer hai aur naa hi negative integer hai.
Integer ko Number line par represent karna :
Integer ko number line par iss prakar se represent kiya jaata hai-:
1. Number line par "0" humesha beech (middle) me hota hai.
2. Positive integer ko "0" ke Right side me likhte hai.
3. Negative integer ko "0" ke Left side me likhte hai.
Nichey diye image me integer ko Number line par represent kiya gaya hai. (See image)
Toh aaj ke liye integer ke iss topic me bas itana hi. Integer ke next part me hum Integer ki properties aur operation ke baare me full details me jaanenge.
Ye bhi sikhe-:
Examples of integer-: Isske defination se clear ho gaya hai ki, kewal whole numbers aur negative numbers hi integer hote hai. Toh iss prakar se 0, 23, 5, 567, -34, -53, -7895 etc integer ke example hai.
Non examples of integer-: 1.2, 3.05, 2/5, -6/9, -1.7, -65.3 etc. Integer ke examples nahi hai.
Set of integer (Poornanko ka samuchya) -:
Integer ke set ko Z se prakat karte hai. Z me sabhi whole numbers aur sabhi negative numbers hote hai. Toh iss prakar se hum Z ke set ko prakat kar sakte hai-:
Z = { ......-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ......}
Types of integer (poornanko ke prakar) :
Poornank ki pribhasha se hume maalum hai ki, poornank me positive numbers, negative numbers aur zero "0" hota hai toh issi aadhar par hum ye kah sakte hai ki, integer ke 3 types hote hai-:
1. Positive integer
2. Negative integer
3. Zero
1. Positive integer-: Positive integer ko hindi me "dhanaatmk poornank (धनात्मक पूर्णांक)" kahte hai. Jin numbers ke aage yaa toh "plus (+)" ka sign ho (jaise +5, +67, +124...) yaa phir koi bhi sign naa ho (jaise 23, 98, 109...) toh unn numbers ko positive integer kahte hai.
Example-: +1, +54, +731, 45, 689, 2314 etc. sabhi positive integer hai.
2. Negative integer-: Negative integer ko hindi me "Rinaatmk poornank (ऋणात्मक पूर्णांक)" kahte hai. Jin numbers ke aage "minus (-)" ka sign ho (jaise -3, -78, -358...) toh unn numbers ko hum negative integer kahte kahte hai.
Example-: -4, -70, -675, -9002 etc. sabhi negative integer hai.
3. Zero integer-: Zero integer matlab "sunya poornank (शून्य पूर्णांक)" , 0 bhi ek integer hai. Zero "0" hi kewal ek aisa integer hai jo naa toh positive integer hai aur naa hi negative integer hai.
Integer ko Number line par represent karna :
Integer ko number line par iss prakar se represent kiya jaata hai-:
1. Number line par "0" humesha beech (middle) me hota hai.
2. Positive integer ko "0" ke Right side me likhte hai.
3. Negative integer ko "0" ke Left side me likhte hai.
Nichey diye image me integer ko Number line par represent kiya gaya hai. (See image)
Toh aaj ke liye integer ke iss topic me bas itana hi. Integer ke next part me hum Integer ki properties aur operation ke baare me full details me jaanenge.
Ye bhi sikhe-:
❒ Divisiblity rules | Vibhajyata ke niyam
❒ Trigonometric Ratios of 45 degree in hindi
❒ 3 steps multiplication shortcuts tricks 2-digit numbers
Hume ummid hai ki, aapko aajka ye integer lesson achhe se samjh aaya hoga. Ab integer ke baare me aapki sabhi doubt dur ho gayi hogi.
Agar phir bhi koi doubt yaa koi problem yaa koi question puchhana ho toh aap hume comment yaa humare Facebook page par massage karke puchh sakte hai. Hum aapki puri help karne ki koshish karenge.
Agar aapko bhi koi math ka topic sikhna hai toh aap hume bataye ki, "Next lesson me aap kon-sa math topic sikhna chahte hai?" Hum uss topic ko full detail me aapko sikhayenge.
Agar aapko aaj ka lesson helpful laga ho toh please issko apne friend ke saath share karna naa bhule. Aapke share karne se hum bahot motivate hote hai. So please ek share jarur kare.
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