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Lesson Worksheet: Multiplying up to Four-Digit Numbers by One-Digit Numbers: Area Models Mathematics

In this worksheet, we will practice using an area model and the distributive property to multiply a three- or four-digit number by a one-digit number.

Q1:

Use an area model to find the result of 7232×4.

  • A28‎ ‎928
  • B28‎ ‎000
  • C28‎ ‎920
  • D28‎ ‎800

Q2:

214×3=

  • A632
  • B642
  • C651
  • D542

Q3:

Mia drew this to help her calculate 3×17.

What expression is missing in the following: 3×17=3×(10+7)=(3×10)+()?

  • A7×10
  • B3×3
  • C3×10
  • D3×7

What is 3×17?

Q4:

Noah and Chloe want to use area to find 6×14.

Chloe splits this rectangle in half, but she can’t finish because she doesn’t know 6×7.

Noah says it is easier to use the 10 times table. How would he split the rectangle?

  • A
  • B

Pick the next step in Noah’s calculation.

  • A(6×10)+(6×4)
  • B(6×10)+4
  • C(6×8)+6
  • D(6×8)+(6×6)

Add the areas of the two parts to figure out 6×14.

Q5:

Isabella used 9=101 to find 9×15.

9×15=(101)×15=(10×15)(1×15)

Benjamin used 15=10+5 to find 9×15.

9×15=9×(10+5)=(9×10)+(9×5)

Whose method is correct?

  • AThey are both wrong.
  • BThey are both correct.
  • COnly Isabella’s method is correct.
  • DOnly Benjamin’s method is correct.

What is 9×15?

Q6:

Jackson has drawn this to help him multiply 3 and 18.

Pick the equation that describes his model.

  • A3×18=(3×20)2
  • B3×18=3×(9+2)
  • C3×18=3×(20+2)
  • D3×18=3×(202)

Use the model to write the subtraction expression that is missing: 3×18=.

  • A60+6
  • B266
  • C606
  • D602

What is 3×18?

Q7:

Sophia has drawn this array to help her calculate 7×12 by splitting 12 into 10+2.

There are 7×10 squares in the blue part. Write an expression for the number of squares in the pink part.

  • A7×2
  • B7+2
  • C10×2
  • D10+2

Which of these is equal to 7×12?

  • A(7×10)(7×2)
  • B(7×10)+(10×2)
  • C(7×10)(10×2)
  • D(7×10)+(7×2)

Which expression correctly shows the total number of squares in the array?

  • A7014=56
  • B7020=50
  • C70+14=84
  • D70+20=90

Q8:

Mason is learning to multiply by breaking apart factors and then adding.

For 6×12, he draws a 6-by-12 rectangle and splits it into two parts.

What is the missing expression in 6×12=()+(6×4)?

  • A6×7
  • B6×8
  • C6×10
  • D6×9

What is 6×12?

Q9:

Olivia used the area model below to help solve a multiplication problem.

Which multiplication problem did she use the area model to solve?

  • A8×3
  • B3×18
  • C8×13
  • D3×10
  • E8×10

Q10:

Benjamin drew this to help him multiply 6 by 18.

Pick the equation that shows how he split 18.

  • A6×18=6×(9+2)
  • B6×18=6×10×8
  • C6×18=6×(10+8)
  • D6×18=6×5×4

Which expression should he write for the number of orange squares?

  • A8×10
  • B6×8
  • C6×10
  • D6×9

Which two numbers can he add to find 6×18?

  • A30+48
  • B54+48
  • C60+48
  • D60+30

This lesson includes 1 additional question and 9 additional question variations for subscribers.

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