Subtraction with Regrouping Worksheets and Teaching Guide
Teach two-digit subtraction by exchanging one ten for ten ones. Connect the model to written notation, diagnose common errors and choose a printable activity for guided or independent practice.
Where to start
First ask the learner to represent 42 as four tens and two ones. Then ask whether the same quantity can be shown with three tens and twelve ones.
A common mistake
Subtracting the smaller digit from the larger digit in every column changes the problem. In 42 − 17, exchanging a ten allows 12 − 7 while leaving three tens.
What to try next
Compare one subtraction that needs an exchange with one that does not. Ask the learner to decide before calculating and explain the decision with place-value language.
Practice in learning order
Select the resource that matches the learner’s current skill. Grade labels are guides; the activity and prerequisite skills matter more than completing every sheet.
Exchange a Ten to Subtract: Explore and Explain
Explore · Independent · 8 min
Represent the same quantity before and after exchanging a ten. Subtract two-digit numbers and check with addition. Diagnose an exchange error and explain a subtraction situation. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2-Digit Subtraction with Regrouping (Borrowing)
Practice · Independent · 15 min
Comprehensive practice sheet for double-digit subtraction with regrouping. Features 20 vertical problems and full answer key.
Exchange a Ten to Subtract: Practice Independently
Practice · Independent · 10 min
Represent the same quantity before and after exchanging a ten. Subtract two-digit numbers and check with addition. Diagnose an exchange error and explain a subtraction situation. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
Exchange a Ten to Subtract: Apply and Create
Apply · Independent · 12 min
Represent the same quantity before and after exchanging a ten. Subtract two-digit numbers and check with addition. Diagnose an exchange error and explain a subtraction situation. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Exchange a Ten to Subtract: Check Your Understanding
Check · Independent · 8 min
Represent the same quantity before and after exchanging a ten. Subtract two-digit numbers and check with addition. Diagnose an exchange error and explain a subtraction situation. A focused check activity. Use the linked unit for the learning sequence and teaching guide.
Exchange a Ten to Subtract: Review Connections
Review · Independent · 10 min
Represent the same quantity before and after exchanging a ten. Subtract two-digit numbers and check with addition. Diagnose an exchange error and explain a subtraction situation. A focused review activity. Use the linked unit for the learning sequence and teaching guide.
Model 42 − 17 with tens and ones
Draw four tens sticks and two ones dots. To remove seven ones, exchange one stick for ten dots: the same forty-two is now three tens and twelve ones. Remove seven dots, leaving five. Remove one tens stick, leaving two tens. The result is twenty-five. In the written method, change the four tens to three and the two ones to twelve. Say what each mark represents instead of treating the small digits as a separate rule to memorize.
Choose the starting point, then the worksheet
Use about ten to fifteen minutes with a place-value drawing or bundled counters. If representing 42 is difficult, work on tens and ones before introducing an exchange. If the learner represents it confidently but cannot show 3 tens + 12 ones, choose Explore and Explain and work together. Once the model and notation agree, select the borrowing worksheet or Practice Independently. Use Apply and Create after the learner can explain the exchange in a subtraction situation. Grade 2 is a useful starting guide, not a requirement to rush the written method.
Respond to 42 − 17 = 35
This answer can come from subtracting two from seven and one from four. Ask the learner to build forty-two, then actually remove seventeen. The ones column needs seven ones but initially contains only two. Exchange a ten, record the remaining three tens, and finish the removal. If the learner instead gets thirty-five after a valid ones calculation, check whether the tens were reduced during the exchange. Verify the result with 25 + 17 = 42. An incorrect answer is a clue to discuss, not proof of one particular misconception.
A two-question exit check and the next step
Compare 53 − 21 = 32 with 53 − 28 = 25. Before calculating, ask which problem needs an exchange and why. In the second, five tens and three ones become four tens and thirteen ones. Ask the learner to explain the unchanged total and check one answer with addition. If those explanations are secure, vary the story or numbers in another short set. Save subtraction across zero, such as 60 − 27, for a separate lesson because there are no ones to start with.