Skill: Add a 1-digit number to a 2-digit number without regrouping

Explanation and Free Practice Resources

This understanding involves combining a two-digit number (10–99) with a one-digit number (0–9) when the ones digits total less than 10, so the ones are combined while the tens value remains unchanged. Place-value representations and number-line reasoning show why no exchange of 10 ones for 1 ten is needed, establishing a foundation for multi-digit addition; cases requiring regrouping or larger, more general addends are outside this scope.

Detailed Explanation: Add a 1-digit number to a 2-digit number without regrouping

To add a 1-digit number to a 2-digit number, add the ones first. If the ones total is less than 1010, the tens stay the same.

Example: 34+534+5

  1. Break apart 3434 into 33 tens and 44 ones.
  2. Add the ones:
4+5=94+5=9
  1. The ones total is 99, which is less than 1010. So, no new ten is needed.
  2. Keep the 33 tens and use the 99 ones:
34+5=3934+5=39

So, 34+5=39\boxed{34+5=39}.

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Addition - Whole Number 2 digit + 1 digit, No Carry


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