tfarrejfm
Stage 1 of 20

Single-Digit Addition

Learn single-digit addition through counting on, number bonds, doubles, and flexible mental strategies. Includes worked examples and 18 practice problems.

Start the interactive drill 18 checkable exercises

What You'll Learn

  • Understand addition as combining two quantities into one total
  • Choose between counting on, number bonds, and doubles
  • Recall addition facts with totals up to 10 accurately
  • Explain how an answer was found instead of relying on guessing

Why This Matters

Later work with carrying, subtraction, multiplication, and percentages reuses these facts. Quick, accurate recall leaves your attention free for the new part of a larger problem.

Understanding Single-Digit Addition

Addition combines two quantities. In 3 + 4, the numbers 3 and 4 are parts and 7 is the whole. This relationship matters beyond one fact: it later explains why 7 − 4 returns the missing part, 3.

Move from counting every object to “counting on.” Keep the larger addend in mind and count only the smaller one. For 6 + 3, hold 6, then say 7, 8, 9. Three deliberate jumps are quicker and safer than recounting nine objects from 1.

Number bonds group facts by their whole. Eight can be made from 0+8, 1+7, 2+6, 3+5, or 4+4. As one part rises by 1, the other falls by 1. That pattern lets you rebuild a forgotten fact instead of guessing.

You may reverse addends because 2 + 7 and 7 + 2 have the same total. Start with the larger number to reduce mental steps. Doubles also act as anchors: from 4 + 4 = 8, you can see that 4 + 3 is one less. Accuracy comes first; speed follows repeated correct reasoning.

Worked Examples: Think It Through

Read the strategy, then prove you can use it: every example ends with a matching problem on new numbers that you answer and check right here. Answer it and press New numbers for as many fresh problems as you like.

Count on from the larger number

6 + 3

  1. 1 Keep the larger addend, 6, in mind.
  2. 2 Count three new numbers: 7, 8, 9.
  3. 3 Stop after the third jump.

6 + 3 = 9

Your turn — try it on new numbers

6 + 2 = ?

Use a number bond

5 + 3

  1. 1 Treat 5 and 3 as two parts.
  2. 2 Count on from 5: 6, 7, 8.
  3. 3 The two parts make the whole 8.

5 + 3 = 8

Your turn — try it on new numbers

5 + 2 = ?

Turn the fact around

2 + 7

  1. 1 Reverse the addends mentally: 7 + 2.
  2. 2 From 7, count 8, 9.

2 + 7 = 9

Your turn — try it on new numbers

2 + 1 = ?

Use a nearby double

4 + 3

  1. 1 Recall the anchor fact 4 + 4 = 8.
  2. 2 Because 3 is one less than 4, take one from 8.

4 + 3 = 7

Your turn — try it on new numbers

9 + 1 = ?

Common Mistakes and How to Fix Them

Counting the starting number

For 5 + 2, saying “5, 6” adds only one. Hold 5, then make two jumps: 6, 7. Use two fingers to track the jumps if needed.

Always starting from the first addend

Taking seven steps from 2 is unnecessarily long. Turn 2 + 7 around and take two steps from 7.

Trading accuracy for speed

Guessing quickly is not fluency. Slow down, name your strategy, and verify uncertain answers before using a timer.

Single-Digit Addition in Everyday Life

If a bag holds 4 apples and 3 oranges, use the near-double 4 + 4 = 8, then subtract one: there are 7 pieces of fruit. The same reasoning totals coins, game points, lunchbox items, and people joining a small group without recounting everything.

Pro Tips

  • • Practice one family at a time, such as every pair that makes 7.
  • • Say the strategy, not only the answer: “I started at 6 and counted on 2.”
  • • Use counters for checking, then hide them and picture the movement mentally.
  • • Five accurate minutes each day is more effective than one rushed weekly session.

Practice Exercises

Work each problem mentally, then type the answer and check it. Nothing is marked correct until you enter a value that actually equals the result, and every problem keeps its mental-steps note in reach if you get stuck.

  1. 1. 3 + 4 = ?
  2. 2. 5 + 2 = ?
  3. 3. 1 + 8 = ?
  4. 4. 6 + 3 = ?
  5. 5. 2 + 5 = ?
  6. 6. 4 + 4 = ?
  7. 7. 7 + 1 = ?
  8. 8. 3 + 3 = ?
  9. 9. 5 + 4 = ?
  10. 10. 2 + 6 = ?
  11. 11. 0 + 7 = ?
  12. 12. 1 + 6 = ?
  13. 13. 3 + 5 = ?
  14. 14. 4 + 5 = ?
  15. 15. 2 + 2 = ?
  16. 16. 6 + 2 = ?
  17. 17. 5 + 5 = ?
  18. 18. 3 + 7 = ?

Drill Stage 1 with unlimited problems

Type your answer and press Enter. Every problem is generated on the spot and uses single-digit addition with totals up to 10. Get it wrong and the steps below show how that exact problem is solved mentally.

Correct
0 / 0
Accuracy
—
Best streak
0
Time
0:00

Problem 1

8 + 2 = ?

Stage 1 Questions

Should a learner stop using fingers immediately?

No. Fingers can verify quantities. Gradually hold the larger number mentally and use fingers only to track the smaller addend.

When is Stage 1 complete?

Move on when you answer mixed facts up to 10 accurately and can explain a strategy. Reliable reasoning matters more than a strict timer.

Why does 0 not change a number?

Zero is an empty quantity. Combining 7 objects with no new objects leaves 7, so 7 + 0 = 7. This is the additive identity property.