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Master Multiplication
Learn the secrets of rapid mental computation used in competitive exams. These strategies will help you bypass traditional paper-and-pencil methods.
➕ Addition ➖ Subtraction ✖️ Multiplication ➗ Division x² Squaring xⁿ Exponentiation √ nth Root % Percentage △ Pythagorean Triples lcm LCM hcf HCF
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★ Multiply by 4
Instead of multiplying by 4, just double the number twice.
Example
16 × 4 -> Double 16 = 32. Double 32 = 64 ✖️
★ Multiply by 5
Multiply by 10 (just add a zero), then cut the result in half.
Example
18 × 5 -> 18 × 10 = 180. Half of 180 = 90 ✖️
★ Multiply by 9
Multiply by 10, then subtract the original number once.
Example
14 × 9 -> 14 × 10 = 140. 140 - 14 = 126 ✖️
★ Multiply by 11
For a two-digit number, space the digits and put their sum in the middle. (If the sum > 9, carry the 1).
Example
35 × 11 -> 3 _ 5 -> 3 (3+5) 5 -> 385 ✖️
★ Multiply by 15
Multiply the number by 10, then add half of that result to itself.
Example
24 × 15 -> (24 × 10) = 240. Half of 240 is 120. 240 + 120 = 360 ✖️
★ Break Apart (Distributive)
Split one number into a clean ten and units, multiply separately, and add.
Example
14 × 6 = (10 × 6) + (4 × 6) = 60 + 24 = 84 ✖️
★ Multiply by 25
Multiply by 100 (add two zeroes) and divide by 4 (halve it twice).
Example
32 × 25 -> 3200 ÷ 4 -> 800 ✖️
★ Difference of Squares
To multiply two numbers equidistant from a "nice" middle, square the middle number and subtract the square of the difference.
Example
18 × 22 -> Middle is 20. Diff is 2. 20² - 2² = 400 - 4 = 396 ✖️
★ Line Method Approximation
For extremely large un-memorized numbers, round one to a 10, multiply, then compensate.
Example
42 × 39 -> 42 × 40 = 1680. Subtract 1 group of 42 = 1638 🧠 Table Practice
Device-only practice sets. Your last score is stored only in this browser.
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