๐ข VEDIC MATHEMATICS ๐ข
MULTIPLICATION: Above & Below the Base
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๐ CAROUSEL (Click any card to explore) ๐
๐ Step-by-Step Procedures
๐น Step 1: Identify the Base
Choose base 10, 100, 1000 depending on proximity. Example: numbers near 100 → base 100.
Choose base 10, 100, 1000 depending on proximity. Example: numbers near 100 → base 100.
๐น Step 2: Write deviations
If number < base → complement with negative sign (-). If > base → positive (+). e.g., 98 → -2, 105 → +5.
If number < base → complement with negative sign (-). If > base → positive (+). e.g., 98 → -2, 105 → +5.
๐น Step 3: Separate LHS / RHS
LHS = cross addition or cross subtraction. If one above one below: LHS = A - b.
LHS = cross addition or cross subtraction. If one above one below: LHS = A - b.
๐น Step 4: Right-hand part = vertical multiplication of deviations
Multiply deviations. Product must occupy exactly digits equal to zeroes in base (base10→1digit, base100→2digits).
Multiply deviations. Product must occupy exactly digits equal to zeroes in base (base10→1digit, base100→2digits).
๐น Step 5: Adjust if RHS has extra digits
If RHS exceeds allowed digits, carry extra to LHS.
If RHS exceeds allowed digits, carry extra to LHS.
๐น Step 6: Vinculum (bar) & De-vinculation
If RHS product is negative, write complement and adjust LHS.
If RHS product is negative, write complement and adjust LHS.
๐น Step 7: Final Answer
Combine adjusted LHS and RHS. Example: 106 × 99 → 10494 ✅
Combine adjusted LHS and RHS. Example: 106 × 99 → 10494 ✅
๐ง Pro Tip: Practice mental calculation with different bases; surprise your friends!
❓ FAQ
Q: What if both numbers are below the base?
A: LHS = cross subtraction (e.g., 98x97: deviations -2, -3 → LHS = 98-3=95, RHS = 6 → 9506)
Q: When to use vinculum?
A: If vertical multiplication gives negative product, use bar notation then de-vinculate.
Q: Can base be 10,000?
A: Yes! RHS must occupy 4 digits. Same logic applies.
Q: Is mental math possible?
A: Absolutely! Solve 2-digit × 2-digit under 5 seconds mentally.
Q: One above & one below?
A: LHS = cross subtract, RHS = product of deviations (negative) then adjust.
Q: Where can I see more examples?
A: Scroll through the 14 original images below (tap to zoom) & use random generator!
๐ฒ RANDOM PRACTICE GENERATOR ๐ฒ
Click below to get two random numbers and see a detailed Vedic solution using Above/Below Base method!
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๐ Explanation will appear here: Click generate to see step-by-step Vedic multiplication.
SLIDE IMAGES (Tap any image to ZOOM) ๐
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