Mental Math Strategies

Speed up your arithmetic with proven techniques · 암산 전략 가이드

1. Why Mental Math?

왜 암산인가?

Mental math builds number sense, improves working memory, and speeds up everyday calculations. It's a skill that compounds over time.

Studies show that regular mental math practice strengthens neural pathways associated with problem-solving. Even 10 minutes daily can improve calculation speed by 40% within a month. It also builds confidence for standardized tests and real-world scenarios like splitting bills or estimating costs.

연구에 따르면 규칙적인 암산 연습은 문제 해결과 관련된 신경 경로를 강화합니다. 하루 10분만으로도 한 달 내에 계산 속도가 40% 향상될 수 있습니다.

7×8 56 15² 225 brain = fastest calculator

2. Addition Tricks

덧셈 요령

Break numbers into friendly parts. For 47 + 86: add 47 + 80 = 127, then + 6 = 133. Always round to tens first.

The key principle: make one number "round" (ending in 0). For 67+28: think 67+30−2 = 95. This reduces cognitive load by working with simpler numbers first.

핵심 원리: 한 숫자를 "깔끔한 수"(0으로 끝나는)로 만드세요. 67+28의 경우: 67+30−2 = 95로 생각하면 더 간단한 숫자부터 처리하여 인지 부하를 줄입니다.

47 +80 127 +6 133

3. Multiplication Shortcuts

곱셈 단축법

Distribute to simpler factors. For 12 × 15: compute 12×10 = 120, then 12×5 = 60, sum = 180.

Another powerful trick: for numbers near 100, use the "complement method." For 97×96: both are close to 100. Subtract deficits (3 and 4), cross-subtract (97−4=93), multiply deficits (3×4=12), result = 9312.

또 다른 강력한 방법: 100에 가까운 수의 곱셈에는 "보수법"을 사용하세요. 97×96: 부족분(3과 4)을 교차 빼기(97−4=93), 부족분 곱(3×4=12), 결과 = 9312.

12 × 15 12×10 12×5 =120 =60 120 + 60 = 180

4. Division Strategies

나눗셈 전략

Factor the divisor or use known multiples. For 144 ÷ 12: recognize 12² = 144, so the answer is 12.

For division by 5, multiply by 2 and divide by 10 (much easier). Example: 340÷5 = 340×2÷10 = 680÷10 = 68. For division by 25, multiply by 4 and divide by 100.

5로 나눌 때는 2를 곱하고 10으로 나누세요 (훨씬 쉽습니다). 예: 340÷5 = 340×2÷10 = 68. 25로 나눌 때는 4를 곱하고 100으로 나누세요.

144 ÷ 12 12 × ? = 144 12 × 12 = 144 ✓ = 12
Practice now → C:Arith