Long multiplication (age 10+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Long multiplication with four digits

Mathematics · Multiplication & Division · ages 10-11
Name ______________________   Date ____________

  1. Work out 2,463 x 37. Give your answer as a whole number.

    Answer: ______________

  2. In long multiplication for 2,463 x 37, you first multiply 2,463 by 7 ones. What does that give?

    • 16,241
    • 7,389
    • 17,241
    • 17,341

  3. In long multiplication, what do you do with the partial product from the tens digit before adding it to the units partial product?

    • Shift it one place left
    • Leave it lined up exactly under the units row
    • Divide it by ten before adding

  4. In 2,463 x 37, the first partial product, 2,463 x 7, is 17,241.

    Circle one:   True   False

  5. A packer fills 26 crates with 5,214 bottles in each crate. How many bottles is that?

    Answer: ______________

  6. The two partial products for 2,463 x 37 are 17,241 and 73,890. What is 2,463 x 37?

    1724173890?
    • 90,131
    • 81,131
    • 91,131

  7. In long multiplication for 2,463 x 37, the second row of the working is 73,890. What does 73,890 stand for?

    • 2,463 x 30
    • 2,463 x 3
    • 2,463 x 37
    • 37 x 7

  8. Leo says that in 2,463 x 37 the row 73,890 really means 2,463 x 30, and the zero is there because 30 is 3 tens. Is Leo right?

    Circle one:   True   False

  9. Use long multiplication to work out 1,847 x 26.

    Answer: ______________

  10. Tom worked out 4,056 x 28 and got 40,560. Which mistake did he make?

    • He multiplied 4,056 by 8 wrongly
    • He wrote 8,112 for 4,056 x 20, missing a zero
    • He added the two rows wrongly
    • He used 18 instead of 28
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Long multiplication with four digits W1-mt_XLP1IM3Qbb-s1

  1. 91131 · 2,463 x 7 = 17,241 and 2,463 x 30 = 73,890, and they add to 91,131.
  2. 17,241 · 2,463 x 7 = 17,241, which is the ones row of the working.
  3. Shift it one place left · The tens digit stands for tens, not units, so its partial product is ten times bigger and needs to move one place left.
  4. True · 2,463 x 7 does equal 17,241. That row covers the units part of 37.
  5. 135564 · 5,214 x 20 = 104,280 and 5,214 x 6 = 31,284, giving 135,564.
  6. 91,131 · Adding 17,241 and 73,890 column by column, with carrying, gives 91,131.
  7. 2,463 x 30 · The second row multiplies by the 3 tens in 37, so it means 2,463 x 30.
  8. True · Leo is right: 2,463 x 3 = 7,389, and ten times that is 73,890.
  9. 48022 · 1,847 x 6 is 11,082 and 1,847 x 20 is 36,940. Adding those two partial products gives 48,022.
  10. He wrote 8,112 for 4,056 x 20, missing a zero · 4,056 x 8 = 32,448 is correct, but 4,056 x 20 = 81,120, not 8,112. Adding 8,112 + 32,448 gives his 40,560.
Worksheet · LightMySky