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Cogito

Grade 4 Math · Chapter 2 · Lesson 3

Practice Worksheet

The Area Model and Partial Products

One rectangle, split by place value.

10 problems · about 15 minutes · 4.NBT.B.5

NameDate

Figure — use these to answer the problems

The rectangle splits by place value. Each piece is one partial product.
204
6
  • 20 × 6120
  • 4 × 624
  • 24 × 6144
First number24
Second number6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Multiplying by 10, 100, and 1,000”

    8 × 700 = ?

    Answer

  2. From “Multiplication as Comparison”

    4 times as many as 12 is?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 42 × 8 = ?

    Answer

  2. Why do the partial products add to the whole answer?

    • The pieces cover the whole rectangle.
    • Because that is the rule.

  3. 36 × 4 = ?

    Answer

  4. 53 × 7 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 48 × 6 = ?

    Answer

  2. 27 × 9 = ?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Theatre

    7 rows of 32 seats. How many seats?

    Answerseats

  2. The Packets

    8 packets each hold 45 seeds. How many seeds?

    Answerseeds