Multiplying Multi-Digit Numbers Worksheets, Grade 5 (5.NBT.B.5) – Free PDF + Answer Key

First page of the multiplying multi-digit numbers practice worksheet

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PDFs print on US Letter paper. Free for classroom and home use.

Watch: 2-3 Digit Multiplication Step by Step (Fast Method)

Key idea

One partial product per digit, each carrying its own place. Multiply, then add the carry. Estimate first, so a wrong answer shows up as the wrong size.

Sample problems

Estimate, then work out 47 × 23.
Estimate, then work out 125 × 34.
Estimate, then work out 208 × 45.
Work out 47 × 3, writing each step. Where exactly does the carried 2 get used?

Common mistakes to watch for

Answered 380, from 228 + 152 with the second partial unshifted. Against an estimate of 2000 this is out by a factor of five, and the estimate is what makes that obvious without checking a single digit.
Answered 864, having treated 306 as 36 — the interior 0 contributes nothing to add, so it was skipped when writing rather than held as a place. 864 against 7200 is caught instantly.
Said Leo “forgot to move the second line along”. That names the symptom. What makes it stick is that the 2 MEANS TWENTY, so 940 is the number the line is standing for — a child who knows only the movement has a ritual to remember, and rituals get skipped.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes): a warm-up, the big ideas, a “spot the slip” challenge, Mr DJ’s worked example, and a pick-your-pepper round on whiteboards. Or watch the video together.
Practice with the worksheet. Everyone does Mild and Medium, then climbs to Spicy and Extra Spicy.
Check understanding with the exit ticket.
Mark with the answer key — each answer shows the steps and the most likely mistake. The slides’ teacher notes are in the key too.