How do you find the product of 78 x 34 using partial products ?

1. How do you find the product of 78 x 34 using partial products ? What is a partial product?

2. In this lesson you will learn how to multiply multi-digit numbers by using partial products.

3. Product – The result when two numbers are multiplied. For Example: 4 x 5 = 20 product

4. Multiplication is repeated addition. 32 + 32 + 32 + 32 + 32 32 x 5 Multiplication is faster!

5. Multiplying by powers of 10. 36 x 10 = 360 36 x 100 = 3,600 36 x 1,000 = 36,000

6. Multiplying each digit as if it represents a number of “ones.” It is important to remember the place value of each digit. 36 x 5 = 30 x 5 + 6 x 5

7. Multiply 78 x 34 using partial products. 2100 280 240 + 32 2,652 30 + 4 70 + 8 70 x 30 = 2,100 70 x 4 = 280 8 x 30 = 240 8 x 4 = 32 Partial products

8. Multiply 162 x 84 using partial products. 8000 400 4800 240 160 + 8 13,608 80 + 4 100 + 60 + 2 100 x 80 = 8,000 100 x 4 = 400 60 x 80 = 4800 60 x 4 = 240 2 x 80 = 160 2 x 4 = 8

9. In this lesson you have learned how to multiply multi-digit numbers by using partial products.

10. Multiply 225 x 12 using partial products.

11. Use place value to decompose the following numbers. • For example: 145 = 100 + 40 + 5 • 1). 368 • 2). 972 • 3). 504

12. In your math journal, explain the definition of a partial product and how we can use partial products to multiply.

13. Which of the following shows the partial products of 32 x 41? 1). 30 x 40 + 30 x 1 + 2 x 40+ 2 x 1 2). 3 x 4 + 2 x 1 + 3 x 2 + 4 x 1 3). 32 x 41 + 30 x 4 + 2 x 1 4). 30 x 4 + 20 x 1

14. Multiply 294 x 57 using partial products.