Subtraction Guide

Borrowing in Subtraction

A Step-by-Step Visual Guide for Kids

Most borrowing errors happen because children learn the steps without understanding why borrowing works. This guide shows both — so the procedure actually makes sense.

Ask this question first:

"Is the top number smaller than the bottom number?"

If YES → Borrow. If NO → Subtract directly.

How to Borrow — Step by Step

Let's use 53 − 27 as our example

53 − 27 = ?
Start with the problem
5️⃣3️⃣ − 2️⃣7️⃣

We need to subtract 27 from 53. Look at the ones column: 3 − 7.

Ask: Can we subtract?
Is 3 smaller than 7?
3️⃣ < 7️⃣ → BORROW

YES — 3 is less than 7. We cannot subtract. We need to borrow.

Step 2: Borrow from the tens
5 tens becomes 4 tens
🔟🔟🔟🔟🔟 → 🔟🔟🔟🔟 + 1 ten to ones

Take 1 ten from the tens column. Cross out 5 and write 4 above it.

Step 3: Add 10 to the ones
3 ones becomes 13 ones
⚫⚫⚫ + 🔟 = ⚫⚫⚫⚫⚫ ⚫⚫⚫⚫⚫ ⚫⚫⚫

The borrowed ten becomes 10 ones. Add to the existing 3 ones: 10 + 3 = 13.

Step 4: Subtract the ones
13 − 7 = 6
1️⃣3️⃣ − 7️⃣ = 6️⃣

Now we can subtract: 13 − 7 = 6. Write 6 in the ones place.

Step 5: Subtract the tens
4 − 2 = 2
4️⃣ − 2️⃣ = 2️⃣

Now subtract the tens column: 4 − 2 = 2.

53 − 27 = 26 ✓
We have the answer
✅

Borrowing works because we traded 1 ten for 10 ones — the value stays the same.

Why Borrowing Works

Borrowing works because you are trading 1 ten for 10 ones. The value stays the same — you're just changing how the number is written.

53 = 5 tens + 3 ones
= 4 tens + 13 ones
= 40 + 13 = 53 ✓

Visual reminder: 1 ten (🔟) traded for 10 ones (⚫⚫⚫⚫⚫ ⚫⚫⚫⚫⚫).

Try These Examples

Follow the same steps: borrow, subtract ones, subtract tens

42 − 18
2 − 8 → borrow
12 − 8 = 4
3 − 1 = 2
= 24 ✓
35 − 19
5 − 9 → borrow
15 − 9 = 6
2 − 1 = 1
= 16 ✓
64 − 28
4 − 8 → borrow
14 − 8 = 6
5 − 2 = 3
= 36 ✓
81 − 37
1 − 7 → borrow
11 − 7 = 4
7 − 3 = 4
= 44 ✓
56 − 29
6 − 9 → borrow
16 − 9 = 7
4 − 2 = 2
= 27 ✓
73 − 45
3 − 5 → borrow
13 − 5 = 8
6 − 4 = 2
= 28 ✓

Common Mistakes (And How to Fix Them)

❌ Subtracting the smaller digit from the larger digit
✓ Always subtract the bottom digit from the top digit. If the top is smaller, borrow first — never switch the numbers.
❌ Forgetting to reduce the tens column after borrowing
✓ Cross out the tens digit and write the new number above it. Say aloud: "5 tens becomes 4 tens."
❌ Borrowing when not needed
✓ Ask: "Is the top number smaller?" If YES → borrow. If NO → subtract directly.

Strong place value skills make borrowing much easier to understand.

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GRADES 2–4

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Subtraction trips up more kids than almost any other early math skill — and the reason is almost always that borrowing was introduced before the concept was solid. This 30-day course fixes that. It starts with the meaning of subtraction, builds toward two-digit problems with and without regrouping, and ends with borrowing across zeros — the step where most kids (and parents) hit a wall.

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