Subtracting Across Zeros: 3-Digit Subtraction

This worksheet tackles the most feared move in column subtraction: borrowing across a zero. Every problem looks like 302 − 158 — a three-digit number with a 0 in the tens place, and a ones column that needs to borrow. The child reaches next door for a ten, finds the cupboard empty, and must go one door further: borrow from the hundreds first, turn the 0 into a 10, and only then lend a ten to the ones. Each problem on the page rehearses that double move.

The zero trap is where subtraction skills genuinely part ways. A child who has only memorized 'cross out, borrow' meets 302 − 158 and has nothing to cross out — so digits start getting invented. A child who understands the unbundling can reason through it: 302 has no loose tens, but it has three hundreds, and one of them can be broken into ten tens, one of which can be broken into ten ones. Writing the two-step trade carefully — the 3 becomes 2, the 0 becomes 10, the 10 becomes 9, the 2 becomes 12 — turns the scariest problem in third grade into a slow, certain routine. This page exists so that routine gets enough repetitions to become calm.

Print the PDF free and narrate the first problem together, door by door. The regrouping review page mixes these zero problems back in with friendlier ones, and 2-digit subtraction with borrowing remains the quiet warm-up when a reset helps.