Partial Products

Front

What are Partial Products?

Back

Partial products are the results obtained from 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 decompose the number 345?

Back

345 can be decomposed into 300 + 40 + 5.

Front

What is the first step in using partial products to multiply 32 x 5?

Back

The first step is to break down 32 into 30 and 2.

Front

What is the formula for finding partial products?

Back

The formula is (a x b) + (c x b), where a and c are the decomposed parts of the first number.

Front

Calculate 32 x 5 using partial products.

Back

(30 x 5) + (2 x 5) = 150 + 10 = 160.

Front

What is the result of 243 x 9 using partial products?

Back

2187.

Front

How do you multiply 93 x 47 using partial products?

Back

Break down 93 into 90 and 3, and 47 into 40 and 7, then calculate (90 x 40) + (90 x 7) + (3 x 40) + (3 x 7).

Front

What is the final answer for 93 x 47?

Back

4,371.

Front

What is the importance of decomposing numbers in multiplication?

Back

Decomposing numbers simplifies the multiplication process and helps in understanding the value of each digit.

Front

What is an example of decomposing the number 500?

Back

500 can be decomposed into 500 + 0 + 0.