Master Borrowing Tens from the Ones Column
Borrowing is the most complex subtraction skill in elementary math — it combines place value understanding, basic fact fluency, and multi-step procedure. Master it here.
Borrowing requires place value understanding, basic fact fluency, and working memory — all at once. A child who can borrow reliably can subtract any two-digit numbers and is ready for three-digit subtraction, decimal subtraction, and more complex math. A child who struggles with borrowing will hit a wall that affects everything from long division to algebra.
The most common borrowing errors — forgetting to reduce the tens column, subtracting the borrowed number incorrectly, borrowing when not needed — almost always signal a place value gap, not a procedure gap. The fix is not more worksheets. The fix is base-ten blocks and explicit place value work. For students who need to build place value understanding before borrowing, see our place value page.
For students ready to apply borrowing in more complex contexts, our subtraction word problems worksheets include multi-digit borrowing scenarios.
What needs to be in place, what to teach first, and when to move on
Before borrowing will make sense, two conditions must be in place. First: automatic subtraction facts within 20. If your child still counts back for 13-7, borrowing problems will overload their working memory before they even get to the borrowing step. Second: solid place value understanding — your child should be able to explain that 53 means 5 tens and 3 ones, and physically trade a ten for ten ones using base-ten blocks. These are not negotiable prerequisites; they are the difference between a child who picks up borrowing in a week and one who struggles for months.
Start with problems where only the ones column requires borrowing (like 53 - 27). The tens column should subtract cleanly after borrowing. Use base-ten blocks alongside worksheets for the first 2-3 sessions so your child sees the connection between the physical trade and the written procedure. Expect errors in the first week — the most common is forgetting to reduce the tens column. The verbal script ("5 tens becomes 4 tens") fixes this quickly. Most children need 4-6 weeks of two-digit borrowing practice before the procedure feels automatic.
Once two-digit borrowing is automatic, introduce three-digit problems (like 453 - 278). The procedure is the same, but more steps mean more opportunities for error. Then introduce borrowing across zeros (like 400 - 137). This is the hardest borrowing skill because zeros cannot be reduced — your child must borrow across multiple place values. If your child struggles here, go back to base-ten blocks and physically trade a hundred for ten tens, then a ten for ten ones. This gap almost always indicates a place value gap, not a borrowing procedure gap.
Teach this script — have your child say it aloud every time
Look at the top digit in the ones column. Is it smaller than the bottom digit? If yes, you need to borrow. Say: "3 is less than 7, so I need to borrow."
Cross out the tens digit. Reduce it by 1. Write the new tens digit above it. Add 10 to the ones digit. Say: "5 tens becomes 4 tens. 3 ones becomes 13 ones."
Subtract the ones column first: 13 - 7 = 6. Then subtract the tens column: 4 - 2 = 2. Write both answers. Say: "13 minus 7 is 6. 4 minus 2 is 2. The answer is 26."
If your child continues to struggle with borrowing despite practice, the root cause is almost always place value understanding — they do not yet have an internalized sense of what it means to trade a ten for ten ones. Our Subtraction in 30 Days course (grades 2–4) includes systematic place value instruction that resolves this at the conceptual level rather than through procedural drilling. You can also browse all available courses and planners on the resources page.
View Subtraction in 30 Days — $57The prerequisite — master column alignment before borrowing
The other prerequisite — understand what tens and ones mean
The fluency prerequisite — automatic facts within 20
Apply borrowing in real-world contexts
The next step after two-digit borrowing is solid
Full 3rd grade math overview — where borrowing is introduced
Real questions parents ask about subtraction borrowing
Two-digit subtraction with borrowing happens when the top digit in the ones column is smaller than the bottom digit. For example, in 53 - 27, you cannot subtract 7 from 3. So you borrow 1 ten from the tens column — turning 5 tens into 4 tens, and 3 ones into 13 ones. Then subtract: 13 - 7 = 6 in the ones column, and 4 - 2 = 2 in the tens column. The answer is 26. Borrowing is also called regrouping or trading, and it is the most complex subtraction skill in elementary math because it combines place value understanding, basic fact fluency, and multi-step procedure.
Most children are ready for borrowing in late 2nd grade or early 3rd grade, but only after two conditions are met. First, they must have automatic recall of basic subtraction facts within 20 — no counting back. Second, they must have a solid understanding of place value, meaning they can explain that the "5" in 53 means 5 tens and the "3" means 3 ones, and they can physically trade a ten for ten ones using base-ten blocks. If either condition is missing, borrowing practice will be frustrating and errors will persist. Shoring up facts and place value first makes borrowing much easier to learn.
The most common borrowing error is forgetting to reduce the tens column after borrowing. Three fixes work together. First, have your child cross out the tens digit and write the new number above it — this makes the change visible. Second, have your child say the steps aloud every time: "3 is less than 7, so I need to borrow. 5 tens becomes 4 tens. 3 ones becomes 13 ones. Now subtract." Third, use base-ten blocks to show what borrowing actually means — a child who has physically traded a ten for ten ones will not forget to reduce the tens column. The verbal script alone often fixes the error within 2-3 sessions.
They are the same thing. "Borrowing" is the traditional term — you borrow a ten from the tens column. "Regrouping" is the more modern term — you regroup 1 ten as 10 ones. Both describe the same procedure. Our worksheets use both terms so your child recognizes borrowing regardless of what their teacher calls it. The important thing is understanding why it works, not what it is called.
Borrowing across zeros (like 400 - 137) is the single best diagnostic for whether place value is truly understood. A child who can borrow in 53 - 27 but falls apart on 400 - 137 has been following a procedure without understanding it. The fix is not more worksheets — it is base-ten blocks. Have your child physically trade a hundred for ten tens, then a ten for ten ones, and watch what happens. Once the physical trading makes sense, the written procedure clicks very quickly, often in a single session. Our Subtraction in 30 Days course includes explicit place value work designed for this exact gap.
Start with vertical format (column subtraction) because that is how borrowing is taught. The vertical format shows the place value alignment clearly. Once the vertical procedure is solid, introduce horizontal problems (53 - 27 = ?) where your child must rewrite the problem vertically before solving. Children who can only do vertical format will struggle when subtraction appears inside equations and word problems. The transition to horizontal should happen when vertical borrowing is accurate, usually within 2-3 weeks of starting borrowing practice.
Your child is ready for three-digit borrowing when they can solve any two-digit borrowing problem quickly and accurately without reminders. Speed matters here: if borrowing is still slow or effortful, adding a third digit will overload working memory. A child who solves 53 - 27 in under 10 seconds with no errors is ready for three-digit work. A child who still hesitates or forgets steps needs more two-digit practice. The errors that appear in three-digit borrowing are almost always the same errors that were present in two-digit borrowing but hidden by smaller numbers.
The natural progression is: two-digit borrowing → three-digit borrowing → borrowing across zeros → decimal subtraction (aligning decimal points and borrowing across decimal places). Most children need 4-6 weeks of two-digit borrowing practice before moving to three-digit problems. Three-digit borrowing typically takes another 4-6 weeks. Borrowing across zeros can take 2-4 weeks of focused practice. By the end of 4th grade, a child should borrow confidently across multiple zeros and explain the trading process using place value language.
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