Partial Products Review

Front

What is the concept of partial products in multiplication?

Back

Partial products is a method of multiplication where each digit of one number is multiplied by each digit of the other number, and the results are added together to get the final product.

Front

How do you calculate 5,812 x 7 using partial products?

Back

Break down 5,812 into 5,000 + 800 + 10 + 2. Then calculate: (5,000 x 7) + (800 x 7) + (10 x 7) + (2 x 7) = 35,000 + 5,600 + 70 + 14 = 40,684.

Front

What is the first step in using partial products for multiplication?

Back

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

Front

Calculate 2,169 x 2 using partial products.

Back

Break down 2,169 into 2,000 + 100 + 60 + 9. Then calculate: (2,000 x 2) + (100 x 2) + (60 x 2) + (9 x 2) = 4,000 + 200 + 120 + 18 = 4,338.

Front

What is the product of 9,000 x 8?

Back

The product is 72,000.

Front

How do you find the product of 123 x 4 using partial products?

Back

Break down 123 into 100 + 20 + 3. Then calculate: (100 x 4) + (20 x 4) + (3 x 4) = 400 + 80 + 12 = 492.

Front

What is the significance of place value in partial products?

Back

Place value is crucial in partial products as it helps to accurately multiply each digit by its corresponding value, ensuring the correct total is calculated.

Front

Explain how to use partial products to multiply two-digit numbers.

Back

Break each two-digit number into tens and ones, multiply each part separately, and then add the results together.

Front

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

Back

Break down 243 into 200 + 40 + 3. Then calculate: (200 x 9) + (40 x 9) + (3 x 9) = 1,800 + 360 + 27 = 2,187.

Front

What is the formula for calculating partial products?

Back

The formula is: (a1 x b1) + (a1 x b2) + (a2 x b1) + (a2 x b2), where a1 and a2 are the parts of the first number and b1 and b2 are the parts of the second number.