Arithmetic Operations
Common Multiplication Mistakes to Avoid
Even confident mathematicians make multiplication errors. Knowing which mistakes are most common helps you avoid them before they happen.
Mistake 1 – Forgetting or Mis-Adding the Carry
Wrong: 347 × 6
7 × 6 = 42, writes 42 in full → answer wrongly becomes 18,42 (not carrying 4). Correct: write 2, carry 4.
Mistake 2 – Decimal Point Placement
2.5 × 1.4 — wrong: 350 (forgot to insert 2 decimal places). Correct: 3.50
Mistake 3 – Sign Errors with Integers
(−3) × (−5) wrongly = −15. Correct: +15 (two negatives give positive)
Mistake 4 – Algebraic Expansion
(x + 2)(x + 3) wrongly = x² + 6. Correct: x² + 3x + 2x + 6 = x² + 5x + 6
Mistake 5 – Multiplying by Powers of 10
3.7 × 100 wrongly = 3.700. Correct: digits shift → 370
Mistake 6 – Placeholder Zeros in Long Multiplication
When writing the second partial product row, forgetting the placeholder zero shifts all digits left one place, giving a wrong answer.
Checklist
- Carry carefully: write it small above the next column.
- Count decimal places before placing the point.
- Remember sign rules: same signs → positive.
- Expand every bracket term by term.
- Always use placeholder zeros in long multiplication rows.
- Estimate first to spot wildly wrong answers.
Practice: Spot and Fix the Mistake
Find the correct answer.