Multi-Digit Multiplication Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
Compute 246×38246 \times 38.

Solution

  1. 1
    Multiply 246×8=1968246 \times 8 = 1968.
  2. 2
    Multiply 246×30=7380246 \times 30 = 7380.
  3. 3
    Add the partial products: 1968+7380=93481968 + 7380 = 9348.

Answer

93489348
Break the multiplier into its place values (8 ones and 3 tens), compute each partial product, then add. This is how the standard algorithm organizes the distributive property for multi-digit numbers.

About Multi-Digit Multiplication

Multiplying numbers with two or more digits using the standard algorithm, partial products, or the area (box) model.

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More Multi-Digit Multiplication Examples

Example 1 easy

Compute [formula].

Example 2 medium

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Example 3 medium

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