BODMAS ke chaar tiers order mein kya hain? ↔ Brackets → Orders → ×÷ (l→r) → +− (l→r).
BODMAS mein M ya D, pehle kaunsa karte hain? ↔ Koi bhi "pehle" nahi — same tier hai, left to right.
Exponents, multiplication ko kyun beat karte hain? ↔ Exponent = repeated multiplication, ek higher shorthand.
Fraction bar secretly kya karta hai? ↔ Poore numerator aur poore denominator ko bracket karta hai.
−22=? ↔ −4, kyunki power, minus se pehle bind karta hai.
In BODMAS, do division or multiplication come first?
Koi bhi inherently pehle nahi hai — dono ek tier share karte hain aur left to right kiye jaate hain.
Why must multiplication be done before addition?
Multiplication repeated addition hai, isliye use fully compute (unpack) karna padta hai pehle, tab hi kisi cheez mein add ho sakta hai.
Evaluate 2+3×4.
14 (pehle 3×4=12 karo, phir 2 add karo).
Evaluate 20÷5×2.
8 (same tier, left to right: 20÷5=4, phir ×2).
What is −32?
−9, kyunki exponent, unary minus se zyada tightly bind karta hai.
What is (−3)2?
9, kyunki bracket sign ko pehle base mein force kar deta hai.
In nested brackets, which do you evaluate first?
Innermost bracket, kyunki outer expressions uski value pe depend karte hain.
What grouping does a fraction bar impose?
Ye poore numerator aur poore denominator ko alag alag bracket karta hai.
Evaluate 6+2[3+(4−1)2].
30.
Recall Feynman: 12-saal ke bachche ko samjhao
Socho ek recipe: "pehle sauce stir karo, TAB pasta pe daalo." Agar pehle daalo, toh sab mess ho jaayega. Maths mein bhi ek fixed recipe order hai. Brackets wo chef hain jo chilla ke kehte hain "YE PEHLE KARO!" Powers secret multiplications hain, aur multiply/divide ko add/subtract se pehle karte hain kyunki ye bade, packed-up kaam hain. Jab do kaam equal size ke hon, toh bas left to right padho, jaise ek sentence padhte hain. Recipe follow karo aur duniya mein sab ko same number milega.
