🧩 Missing Numbers and Grouping in Addition
See subtraction as a missing-number puzzle — 10 − 8 asks 'what plus 8 makes 10?' — and learn to group three numbers in whichever order makes adding easiest.
What you’ll learn
- The Missing PieceFind a missing number in an addition sentence, like □ + 9 = 14, by subtracting.In puzzles like 8 + □ = 10, a number is hiding, and a ten frame's empty spots can reveal it. For bigger mysteries like □ + 9 = 14, subtract to undo the adding: 14 − 9 = 5. Always check your answer by putting it back in: 5 + 9 = 14.
- Subtraction Is a PuzzleSee that a subtraction like 10 − 8 is the same as the missing-addend question 8 + ? = 10.Every take-away is secretly a missing-number puzzle: 10 − 8 asks 'what plus 8 makes 10?' That means you can solve subtraction by climbing UP — from 8 to 10 is 2 steps, so 10 − 8 = 2. Thinking in addition often makes subtracting faster and friendlier.
- Three Numbers, Your ChoiceKnow that when adding three numbers, any two can be added first and the total stays the same.With a sum like 2 + 6 + 4, you can group any two numbers first: (2 + 6) + 4 and 2 + (6 + 4) both make 12. The total never changes — only the path does. That freedom lets you pick whichever pair feels easiest.
- Hunt for TenUse grouping to find pairs that make ten first, like solving 2 + 6 + 4 as 2 + 10 = 12.Since grouping is your choice, hunt for pairs that make 10 first. In 2 + 6 + 4, grab 6 + 4 = 10, then add 2 to get 12. The same trick cracks 5 + 3 + 5 (the fives make ten, total 13) and 3 + 4 + 6 (four and six make ten, total 13).
Questions this course answers
8 + □ = 10. What is the missing number?
8 needs 2 more to make 10, so the missing number is 2.
□ + 9 = 14. What is the missing number?
Take the 9 away from 14: 14 − 9 = 5, so the box hides a 5.
10 − 8 is really the same as asking...?
10 − 8 asks what you add to 8 to reach 10 — the answer to both is 2.
When you add three numbers, grouping them differently...?
Any two numbers can be added first — the total never changes.
Grounded in trusted sources
- Khan Academy Kids
- PBS Kids — early math
- NAEYC — early math learning
- Britannica Kids
Every Wunder lesson is built from real, reputable sources — never invented.
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