Multiplication Using Partial Products

Front

What is multiplication?

Back

Multiplication is a mathematical operation that represents the repeated addition of a number. For example, 4 × 3 means adding 4 three times: 4 + 4 + 4 = 12.

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, before adding them together to get the final product.

Front

How do you multiply using partial products?

Back

To multiply using partial products, break each number into its place values, multiply each part separately, and then add the results together.

Front

Multiply: 23 × 31 using partial products.

Back

23 × 31 = (20 + 3) × (30 + 1) = (20 × 30) + (20 × 1) + (3 × 30) + (3 × 1) = 600 + 20 + 90 + 3 = 713.

Front

Multiply: 64 × 58 using partial products.

Back

64 × 58 = (60 + 4) × (50 + 8) = (60 × 50) + (60 × 8) + (4 × 50) + (4 × 8) = 3000 + 480 + 200 + 32 = 3712.

Front

What is the first step in using partial products?

Back

The first step is to break down each number into its place values.

Front

If you have 82 × 42, what is 80 × 40?

Back

80 × 40 = 3200, which is part of the partial products method.

Front

What do you do after finding the partial products?

Back

After finding the partial products, you add them together to get the final product.

Front

Multiply: 40 × 80.

Back

40 × 80 = 3200.

Front

What is the final product of 82 × 42 using partial products?

Back

The final product of 82 × 42 is 3444.