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.

Subtraction in 30 Days

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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