Mathématiques

Multiplication Steps Calculator

Long Multiplication (with steps)

First number

Second number

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Qu'est-ce que 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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Formule

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

Légende des variables

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Symbole	Nom	Unité	Description
a, b, c, d	Individual digits or groups	—	—
P	Partial products	—	—

Comment Multiplication Steps Calculator

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

Exemples résolus

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Exemple 1

Donné:47 × 23

Résultat:47×3=141; 47×20=940; 141+940=1,081

Applications pratiques

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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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Technique	Example
×9: subtract from 10	9×7=63 (10×7−7)
×11: split and add middle	11×36=396 (3,3+6,6)
×25: divide by 4	25×48=1200 (48/4×100)
Squares near 50	52²=(50+2)²=2500+200+4=2704

Questions fréquentes

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Why break down multiplication into steps?

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

What's the lattice method?

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

How do I multiply 23 × 45?

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

Références

›Long multiplication — Khan Academy

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Reviewed October 2026

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