Back to Exercise: Multiply a whole number of up to four digits by a one-digit whole number

Exercises: Multi-Digit Multiplication - Area Models and Partial Products

Work through each section in order. Where an area model is given, use it to organize your partial products before adding.

Grade 4·21 problems·~30 min·Common Core Math - Grade 4·standard·4-nbt-b-5

Work through problems with immediate feedback

Recall / Warm-Up

What is 6 × 200?

Is 6 × 7 the same as 6 × 5 + 6 × 2?

Yes — 7 = 5 + 2, so 6 groups of 7 equals 6 groups of 5 plus 6 groups of 2

No — you cannot split a factor apart like this

Yes, but only because both numbers happen to be even

No, because 6 × 5 + 6 × 2 = 42, which is different from 6 × 7

In the number 236, the digit 2 represents ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ (write the value, not just the digit).

value of the digit 2:

Fluency Practice

What is 4 × 62?

6 × 214 = 6 × 200 + 6 × 10 + 6 × 4 = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

first partial product:

second partial product:

third partial product:

total:

3 × 1,472 = 3 × 1,000 + 3 × 400 + 3 × 70 + 3 × 2 = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ = ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

first partial product:

second partial product:

third partial product:

fourth partial product:

total:

Using the area model shown, what is 7 × 385?

What is 8 × 3,256?

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