Area Model Multiplication

4th Grade MathMulti-Digit Operations4 pages

About this worksheet

One review sheet that runs through every operation in the 4th grade Number and Operations in Base Ten strand. Students add 45,682 + 18,439 and subtract 24,378 from 60,025 with the standard algorithm, complete an area model for 43 × 27 that already shows 20 × 40 = 800, divide 728 by 4 and 2,459 by 6, then finish with a school book order that takes both multiplication and division to solve. Common Core 4.NBT.4, 4.NBT.5 and 4.NBT.6 each get a section, and an answer key closes the sheet.

Remix for free

$Area Model Multiplication: Multi-Digit Operations - page 1$

$Area Model Multiplication: Multi-Digit Operations - page 2$

$Area Model Multiplication: Multi-Digit Operations - page 3$

$Area Model Multiplication: Multi-Digit Operations - page 4$

Curriculum objectives covered

4.NBT.4

“Fluently add and subtract multi-digit whole numbers using the standard algorithm.”

Problems 1 and 2: 45,682 + 18,439 and 60,025 − 24,378, both set vertically with room to regroup.

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.”

The 43 × 27 area model in Part 2, plus 3,428 × 6 in question 4.

4.NBT.6

“Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.”

728 ÷ 4 and 2,459 ÷ 6 in Part 3, and the shelf division inside the book-order problem.

What's inside this worksheet

Part 1: Addition & Subtraction Fluency

Two vertical problems, 45,682 + 18,439 and 60,025 − 24,378, with the instruction to show all regrouping clearly.

Part 2: Multiplication Strategies

An area model for 43 × 27 arrives with 20 × 40 = 800 filled in; students supply the other three partial products and add all four for the total. Question 4 asks for 3,428 × 6 by partial products or the standard algorithm.

Part 3: Division with Quotients & Remainders

728 ÷ 4 divides evenly. 2,459 ÷ 6 does not, and the instructions ask for the remainder written as R followed by the number.

Part 4: Multi-Step Real-World Problem

Oakridge Elementary orders 14 boxes of 35 library books. Students find the total, share it across 5 reading shelves, and say how many leftover books land on the display cart.

How teachers use it

End of unit

Run it the day before the NBT test. Whoever stalls on the 43 × 27 model needs the area-model reteach, not more algorithm drill.

Math stations

Split the four parts across four stations. The book-order problem makes a good partner station because parts a to c check each other.

Sub plans

The printed instructions carry the lesson on their own, and the answer key means whoever covers the class can grade on the spot.

More 4th Grade Math worksheets

Fractions and Decimals Measurement and Data Geometry Factors and Multiples

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