Explaining Why Addition and Subtraction Works Worksheet
Use this explaining why addition and subtraction works worksheet to help 2nd graders break numbers into tens and ones to add and subtract within 100. An answer key is included, so checking work takes only minutes.
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About this resource
Description
Place value is the reason our addition and subtraction strategies work, and this explaining why addition and subtraction works worksheet helps second graders see it for themselves. Students break two-digit numbers into tens and ones, solve each part, and then put the parts back together to find the answer.
A shaded worked example at the top shows every step: 32 + 26 becomes 30 + 20 and 2 + 6, and the two parts make 58. Then children solve five more problems on their own, three addition and two subtraction, all within 100. Each problem has a tens row and a ones row, so kids can see why adding tens to tens and ones to ones always gives the right total. Two problems make a new ten in the ones place, which gets children thinking about what happens when the ones add up to more than nine. Use it for math centers, small groups, homework, or a quick check after a place value lesson.
What’s Included
- A 2nd grade worksheet with one worked example and five practice problems
- Tens and ones rows for every problem to show the place value strategy
- An answer key with every part filled in
How This Worksheet Helps Kids
First, splitting numbers into tens and ones builds a strong sense of place value. Second, solving the parts separately makes mental math easier and less stressful. Third, seeing the parts recombine helps children explain their thinking, not just find an answer.
Ideas for Teachers and Parents
Have children build each number with base-ten blocks before they write the tens and ones rows. Ask them to say out loud why 40 + 20 and 7 + 5 add up to the same total as 47 + 25. For an extra challenge, let students write their own problem and trade with a partner.
Related Resources
- Two Digit Addition Regrouping Worksheet
- Two Digit Subtraction Without Regrouping Worksheet
- Two Digit Addition Without Regrouping Worksheet
- Adding 10 Song (Lyric Music Video)
This explaining why addition and subtraction works worksheet is a simple way to turn a place value strategy into real understanding, and it fits right in with any 2nd grade place value addition worksheet in your math plans.
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