Partial Products /Partitioning rectangles multiplication

Front

What is partial products multiplication?

Back

Partial products multiplication is a method of multiplying numbers by breaking them into smaller, more manageable parts (or partial products) and then adding those parts together to get the final product.

Front

How do you use partitioning in multiplication?

Back

Partitioning in multiplication involves breaking one or both of the numbers into parts (or sections) to simplify the multiplication process. You multiply each part separately and then add the results together.

Front

What is the first step in using partial products to multiply 354 by 8?

Back

The first step is to break down 354 into its place values: 300, 50, and 4.

Front

Calculate the partial products for 354 * 8.

Back

(300 * 8) + (50 * 8) + (4 * 8) = 2400 + 400 + 32 = 2832.

Front

What is the product of 28 and 4 using partial products?

Back

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

Front

How do you partition the number 4,296 for multiplication by 3?

Back

You can partition 4,296 into 4,000 + 200 + 90 + 6.

Front

Calculate the partial products for 4,296 * 3.

Back

(4000 * 3) + (200 * 3) + (90 * 3) + (6 * 3) = 12000 + 600 + 270 + 18 = 12888.

Front

What is the product of 65,243 and 2 using partitioning?

Back

(60,000 * 2) + (5,000 * 2) + (200 * 2) + (40 * 2) + (3 * 2) = 120,000 + 10,000 + 400 + 80 + 6 = 130,486.

Front

How do you multiply 2,396 by 5 using partial products?

Back

(2000 * 5) + (300 * 5) + (90 * 5) + (6 * 5) = 10,000 + 1,500 + 450 + 30 = 11,980.

Front

What is the importance of using partial products in multiplication?

Back

Using partial products helps students understand the value of each digit in a number and simplifies the multiplication process by breaking it down into smaller steps.