MathSprig

Long multiplication

Multiply larger whole numbers using partial products.

Practice + answer key · 2 pages

Worksheet settings8 questions · 2 columns · A4
Factor range

Both numbers being multiplied fall within this range.

Layout
Text size
Paper size
More options

Save this seed with the settings and generator version to make the same worksheet again. Use a word or code, not a name or other personal information.

Generator
mathsprig-1
Content ID
7ae53c8d
Paper size
1 page
Long multiplicationLong multiplication. Practice. Calculate 26 × 93. Calculate 89 × 77. Calculate 48 × 26. Calculate 86 × 32. Calculate 97 × 64. Calculate 79 × 99. Calculate 72 × 78. Calculate 14 × 50.Name __________________________Date _______________Long multiplicationMultiply the numbers and show the partial products.Worked exampleCalculate 34 × 23. → 78234 × 3 = 102.1.26× 932.89× 773.48× 264.86× 325.97× 646.79× 997.72× 788.14× 50MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · 7ae53c8d
1 page
Prints without menus or ads

Practice + answer key · 2 pages

Arithmetic

What you’ll practice

Calculate a multi-digit product by multiplying each place-value contribution and adding the partial products.

Break the second factor into ones, tens and hundreds. Multiply each part separately, line up the partial products and add them to find the full product.

How this skill works

Break the second factor into its place-value terms. In 23, the 2 contributes 20, so that partial product must be a multiplication by 20 rather than by 2.

Add the partial products after aligning their place values. The distributive property makes their sum equal to the original product.

Worked example

Calculate 34 × 23.
  1. 34 × 3 = 102.
  2. 34 × 20 = 680.
  3. 102 + 680 = 782.

Answer: 782

Teaching notes

  • Label the value represented by each multiplier digit.
  • Estimate the product before calculating to catch place-value slips.
Practice questions
  1. Calculate 26 × 93.
  2. Calculate 89 × 77.
  3. Calculate 48 × 26.
  4. Calculate 86 × 32.
  5. Calculate 97 × 64.
  6. Calculate 79 × 99.
  7. Calculate 72 × 78.
  8. Calculate 14 × 50.
Answers and steps
  1. 2418
    1. Multiply by the ones contribution: 26 × 3 = 78.
    2. Multiply by the tens contribution: 26 × 90 = 2340.
    3. Add the partial products: 78 + 2340 = 2418.
  2. 6853
    1. Multiply by the ones contribution: 89 × 7 = 623.
    2. Multiply by the tens contribution: 89 × 70 = 6230.
    3. Add the partial products: 623 + 6230 = 6853.
  3. 1248
    1. Multiply by the ones contribution: 48 × 6 = 288.
    2. Multiply by the tens contribution: 48 × 20 = 960.
    3. Add the partial products: 288 + 960 = 1248.
  4. 2752
    1. Multiply by the ones contribution: 86 × 2 = 172.
    2. Multiply by the tens contribution: 86 × 30 = 2580.
    3. Add the partial products: 172 + 2580 = 2752.
  5. 6208
    1. Multiply by the ones contribution: 97 × 4 = 388.
    2. Multiply by the tens contribution: 97 × 60 = 5820.
    3. Add the partial products: 388 + 5820 = 6208.
  6. 7821
    1. Multiply by the ones contribution: 79 × 9 = 711.
    2. Multiply by the tens contribution: 79 × 90 = 7110.
    3. Add the partial products: 711 + 7110 = 7821.
  7. 5616
    1. Multiply by the ones contribution: 72 × 8 = 576.
    2. Multiply by the tens contribution: 72 × 70 = 5040.
    3. Add the partial products: 576 + 5040 = 5616.
  8. 700
    1. Multiply by the ones contribution: 14 × 0 = 0.
    2. Multiply by the tens contribution: 14 × 50 = 700.
    3. Add the partial products: 0 + 700 = 700.