Stage 11 of 20

Two-Digit Addition (No Carry)

Add tens to tens and ones to ones separately. When neither column overflows, two-digit addition splits into two easy single-digit problems.

What You'll Learn

  • Add tens and ones columns independently
  • Combine results into a final two-digit answer
  • Work left-to-right for faster mental processing

Explanation

For 23 + 45: tens give 2 + 4 = 6 (sixty). Ones give 3 + 5 = 8. Combined: 68.

Left-to-right processing matches how we speak numbers: "twenty plus forty is sixty, three plus five is eight, sixty-eight."

Separating columns reduces cognitive load. You handle two simple facts instead of one complex problem.

No-carry problems always have ones sums ≤ 9 and tens sums ≤ 9. Check both before you start.

Pro Tips

  • Add the tens first — it gives you the rough size of the answer immediately.
  • If both ones digits are small (0–4), carrying is unlikely.
  • Read the full answer as one number, not separate digits.

Practice Exercises

Work through each problem mentally. Click "Show Answer" when you're ready to check.

  1. 1. 23 + 45 = ?
  2. 2. 34 + 52 = ?
  3. 3. 41 + 27 = ?
  4. 4. 13 + 65 = ?
  5. 5. 22 + 36 = ?
  6. 6. 50 + 24 = ?
  7. 7. 31 + 46 = ?
  8. 8. 12 + 54 = ?
  9. 9. 43 + 25 = ?
  10. 10. 60 + 18 = ?