💯 Adding and Subtracting Within 100
Build strategies for adding and subtracting up to 100 — making ten, breaking numbers apart, and using place value — until the small facts feel automatic.
What you’ll learn
- Fast Facts to 10Quickly recall addition and subtraction facts within 10, especially the pairs that make 10.Small facts are the building blocks of all bigger math. Pairs like 6 and 4 or 7 and 3 snap together to make 10, and knowing them helps subtraction too, like 9 − 4 = 5. The faster these facts come to mind, the easier every later strategy becomes.
- Making Ten to AddAdd within 20 by breaking one number apart to make a ten first, like 8 + 6 = 8 + 2 + 4 = 14.Ten is the friendliest number to add to, so we turn hard sums into a ten plus extra. For 8 + 6, give 8 the 2 it needs to become 10, then add the leftover 4 to get 14. The same trick solves 9 + 5: 9 + 1 = 10, then 10 + 4 = 14.
- Breaking Apart to SubtractSubtract within 20 by splitting the number being taken away so you stop at 10, like 13 − 4 = 13 − 3 − 1 = 9.Big take-aways become easy when you rest at 10 on the way. For 13 − 4, hop back 3 to land on 10, then 1 more to land on 9. Splitting the small number, like 7 into 5 and 2 for 15 − 7, makes every subtraction just two friendly hops.
- Adding TensAdd or subtract a whole number of tens from a two-digit number, like 38 + 40 = 78.Whole tens are big, easy jumps. In 38 + 40, the 3 tens become 7 tens while the 8 ones never move, giving 78. Subtracting tens works the same way: 86 − 20 = 66. Only the tens digit changes when you add or take away whole tens.
- Big Number Plus Small NumberAdd a one-digit number to a two-digit number by bridging through the next ten, like 46 + 7 = 46 + 4 + 3 = 53.To add a small number to a big one, jump to the next ten first. 46 needs 4 to reach 50, so split 7 into 4 and 3: 46 + 4 = 50, then 50 + 3 = 53. Crossing the ten makes the tens digit grow, and the same move works for any sum, like 58 + 6 = 64.
Questions this course answers
What is 7 + 3?
7 and 3 are partners that make exactly 10.
To solve 8 + 6 by making ten, what do you add to 8 first?
8 needs 2 more to become 10, so you take 2 from the 6 first.
What is 13 − 4?
Take away 3 to reach 10, then 1 more: 13 − 3 − 1 = 9.
To solve 15 − 7, you first take away 5 to reach 10. How many more do you take away?
7 splits into 5 and 2, so after reaching 10 you take away 2 more: 10 − 2 = 8.
What is 38 + 40?
3 tens + 4 tens = 7 tens, and the 8 ones stay: 78.
What is 25 + 30?
2 tens + 3 tens = 5 tens, and the 5 ones stay: 55.
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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