CurriculumGrade 5Mathematics

Multiplying Big Numbers

Aligned to 5.NBT.B.5 — Common Core State Standards for Mathematics.

What this lesson teaches

The standard algorithm lets you multiply large numbers by breaking the second number into its places. Multiply by the ones, then by the tens, and so on, then add the parts together. Line up your place values carefully.

Worked example

Multiply 34 × 26. First 34 × 6 = 204. Next 34 × 20 = 680. Add the two parts: 204 + 680 = 884. So 34 × 26 = 884.

Practice questions

  1. Multiply 47 × 23.
  2. Multiply 312 × 15.
  3. Multiply 268 × 34 and show each partial product you added.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Multiplicar números grandes

El algoritmo estándar te deja multiplicar números grandes separando el segundo número en sus lugares. Multiplica por las unidades, luego por las decenas, y así, y después suma las partes. Alinea con cuidado los valores posicionales.

Ejemplo: Multiplica 34 × 26. Primero 34 × 6 = 204. Luego 34 × 20 = 680. Suma las dos partes: 204 + 680 = 884. Así, 34 × 26 = 884.

More Number & Operations in Base Ten lessons

Multiplying Decimals5.NBT.B.7How Place Value Works5.NBT.A.1Multiplying by Powers of 105.NBT.A.2Reading and Comparing Decimals5.NBT.A.3Rounding Decimals5.NBT.A.4Dividing by Two-Digit Numbers5.NBT.B.6

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