Chapter 2: Arithmetic Expressions
30 + 5 × 4 ya 100 − (15 + 56) jaise expressions roz ki sthitiyon ko dikhaate hain. Is chapter mein hum bina lambe hisaab ke expressions ki tulna karenge, bracket aur terms se unka ek saaf maan nikaalenge, terms ki adla-badli aur grouping karenge, bracket sahi tarah hataayenge, aur jod ke multiple se jaldi multiply karenge.
Is chapter mein tum
- arithmetic expressions likhna aur unki tulna karna
- expression ke terms dhoondhna aur maan nikaalna
- adla-badli, grouping aur bracket sahi hataana
- a × (b + c) = a × b + a × c se jaldi multiply karna
Topics
- Saral Expressions NCERT 2.1
5 × 30 jaise expression ka ek maan hota hai; = expression ko maan se jodta hai.
- Bracket aur Terms NCERT 2.2
Pehle bracket; phir har term; phir terms jodo.
- Adla-badli aur Grouping NCERT 2.2
Terms ki adla-badli ya alag grouping se jod kabhi nahi badalta.
- Bracket Hatana NCERT 2.2
Bracket se pehle minus: andar ke chinh badalte hain (a − (b + c) = a − b − c; a − (b − c) = a − b + c).
- Jod aur Antar ke Multiples NCERT 2.2
a × (b + c) = a × b + a × c aur a × (b − c) = a × b − a × c.
Key words
- Expression
- 5 × 30 ya 13 + 2 jaisa ganit ka vaakyaansh
- Value
- wo number jis tak expression pahunchta hai
- Term
- expression ka wo hissa jo + se juda ho
- Inverse
- ulte chinh wala wahi number (14 aur −14)
- Commutative
- terms badalne se jod nahi badalta
- Associative
- alag grouping se jod nahi badalta
Summary
- Expressions ke maan hote hain; maan ya badlaav dekhkar tulna karo.
- Pehle bracket, phir har term, phir jodo; terms + se jude hote hain (83 − 14 = 83 + (−14)).
- Terms kisi bhi kram mein jud sakte hain; bracket se pehle minus andar ke chinh badalta hai.
- a × (b + c) = a × b + a × c; 97 × 25 = 100 × 25 − 3 × 25.