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Matematik

Multiplication Steps Calculator

Long Multiplication (with steps)

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Hvad er Multiplication Steps Calculator?

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A step-by-step multiplication calculator shows long multiplication with carrying, partial products, and column-by-column working — ideal for learning and checking arithmetic.

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Formel

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f(x)Multi-digit: (a × 10^m + b) × (c × 10^n + d) = a×c×10^(m+n) + partial products

Variabelbeskrivelse

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SymbolNavnEnhedBeskrivelse
a, b, c, dIndividual digits or groups——
PPartial products——

Sådan Multiplication Steps Calculator

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  1. 1Multiply each digit of multiplier by each digit of multiplicand
  2. 2Shift left one position for each digit of the multiplier
  3. 3Add all partial products to get the final answer
  4. 4Carry digits when products exceed 9

Løste eksempler

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Eksempel 1
Givet:47 × 23
Resultat:47×3=141; 47×20=940; 141+940=1,081

Praktiske anvendelser

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Mathematics education and tutoring

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Mental arithmetic practice

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Understanding number properties

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Early childhood education

Multiplication Shortcuts

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TechniqueExample
×9: subtract from 109×7=63 (10×7−7)
×11: split and add middle11×36=396 (3,3+6,6)
×25: divide by 425×48=1200 (48/4×100)
Squares near 5052²=(50+2)²=2500+200+4=2704

Ofte stillede spørgsmål

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Q

Why break down multiplication into steps?

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Mental math, educational understanding, reduces errors. Shows distributive property of multiplication.

Q

What's the lattice method?

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Grid-based multiplication: creates boxes for each digit pair. Older, alternative method (less common today).

Q

How do I multiply 23 × 45?

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(20+3) × (40+5) = 20×40 + 20×5 + 3×40 + 3×5 = 800 + 100 + 120 + 15 = 1035.

Mathematically verified
Reviewed October 2026
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