Multi-Digit Multiplication Practice

4th Grade MathMulti-Digit Operations3 pages

About this worksheet

Multiplication practice for 4th grade built on Common Core 4.NBT.5. The sheet starts conceptually: an area model for 34 × 26 with all four partial products left blank, then 3,425 × 6 decomposed into expanded form one product at a time. Six computation items follow, from 48 × 7 up to two-digit pairs like 54 × 42 and 86 × 19. Two word problems finish, one about an orchard packing 24 apples per crate and one about $275 reference-book sets. The key holds every product.

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Curriculum objectives covered

4.NBT.5

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Everything on the sheet: the 34 × 26 area model, the expanded-form decomposition of 3,425 × 6, six computations up to 86 × 19, and both word problems.

What's inside this worksheet

Part 1: Area Models and Partial Products

The 34 × 26 grid asks for 30 × 20, 4 × 20, 30 × 6 and 4 × 6 before students add the four partial products. Question 2 walks 3,425 × 6 through (3,000 × 6) + (400 × 6) + (20 × 6) + (5 × 6).

Part 2: Computation Practice

Six problems: 48 × 7, 635 × 4, 2,814 × 3, 27 × 35, 54 × 42 and 86 × 19, with the instruction to show regrouping and partial products clearly.

Part 3: Word Problems

38 crates of 24 apples from the morning harvest, then 8 matching book sets at $275 each for the school library.

How teachers use it

Skill ladder

Assign Part 1 to everyone and let students choose three of the six Part 2 items. The ones who pick 48 × 7, 635 × 4 and 2,814 × 3 are telling you they are not ready for two-digit by two-digit.

Homework

Parts 2 and 3 stand alone as an evening set. The worked structure in Part 1 makes a good in-class warm-up the same day.

Error clinic

86 × 19 catches students who drop the regrouped ten. Pull the wrong answers and rebuild that one on the board with partial products.

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