Partial Products /Partitioning rectangles multiplication

Front

What is partial products multiplication?

Back

Partial products multiplication is a method where you break down one or both of the numbers into smaller, more manageable parts (or partial products) and then add those products together to get the final answer.

Front

How do you partition a rectangle for multiplication?

Back

To partition a rectangle for multiplication, you divide the rectangle into smaller rectangles based on the place values of the numbers being multiplied. Each smaller rectangle represents a partial product.

Front

What is the first step in using partial products to solve 2,396 * 5?

Back

The first step is to break down 2,396 into its place values: 2,000 + 300 + 90 + 6.

Front

Calculate the partial products for 2,396 * 5.

Back

2,396 * 5 = (2,000 * 5) + (300 * 5) + (90 * 5) + (6 * 5) = 10,000 + 1,500 + 450 + 30 = 11,980.

Front

What is the result of 29 * 6 using partial products?

Back

29 * 6 = (20 * 6) + (9 * 6) = 120 + 54 = 174.

Front

How do you solve 542 * 7 using partitioning?

Back

Break down 542 into 500 + 40 + 2, then multiply each part by 7: (500 * 7) + (40 * 7) + (2 * 7) = 3,500 + 280 + 14 = 3,794.

Front

What is the answer to 28 * 4 using partial products?

Back

28 * 4 = (20 * 4) + (8 * 4) = 80 + 32 = 112.

Front

Find the product of 68 * 4 using partitioning.

Back

68 * 4 = (60 * 4) + (8 * 4) = 240 + 32 = 272.

Front

What is the purpose of using partial products in multiplication?

Back

The purpose of using partial products is to simplify the multiplication process by breaking it down into easier steps, making it easier to understand and calculate.

Front

What is a rectangle in the context of multiplication?

Back

In multiplication, a rectangle represents the area that is calculated by multiplying the length and width, which can be visualized as the two numbers being multiplied.