Long Multiplication Practice Packet

Lesson Overview

About this practice packet

Long multiplication is the algorithm that bridges times-tables fluency and the larger-number work students will rely on through middle school. This packet sequences practice carefully so students start with two-digit by one-digit problems, move to three-digit by one-digit work, and finish with two-digit by two-digit multiplication that exercises both partial products and carries across multiple columns.

The reference box on page 1 walks through the two-partial-product algorithm using the example 26 x 47. Students see the ones-digit pass produce 26 x 7 = 182, the tens-digit pass produce 26 x 40 = 1,040 (written one column to the left), and the final sum 1,222. The procedure is the same whether the second factor is one digit or two; the number of partial products simply grows.

Section A is a horizontal warm-up of sixteen two-digit by one-digit facts that students should be able to complete from fluency. Section B converts the same kind of problem into stacked form so students can practice the column algorithm. Section C scales up to three-digit by one-digit multiplication, requiring carries across the tens and hundreds places. Section D is the heart of the packet: six two-digit by two-digit problems that exercise the full two-partial-product algorithm. Section E is a small missing-factor set so students must reason backward from a product. Section F closes with three classroom word problems that ask students to set up a multiplication, work it out, and write the answer in context.

The full answer key on page 6 lists every assessed item in section order, with the full equation shown for Sections B-D so students or aides can spot-check both the procedure and the product.

How to Use This Lesson

Read the reference box aloud as a whole-class warm-up and work through 26 x 47 on the board, narrating the partial-product placement.

Have students complete Section A independently as a 5-minute fluency check; review answers together before moving on.

Use Sections B and C for guided practice in pairs – have one student work the problem while the other narrates which partial product is being computed.

Assign Section D as independent practice; circulate to catch students who forget the placeholder zero in the tens-digit partial product.

Use Section E to extend the strongest students into missing-factor reasoning while others finish.

Finish with Section F as a homework or exit-ticket; remind students to write the full equation before the final sentence-form answer.

Use the answer key on page 6 for student self-check, small-group review, or aide spot-check.

Printable Resource

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