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In this lesson, we will explore how to multiply multi-digit numbers using the standard algorithm. You'll learn the concept of multiplication as repeated addition and discover techniques to simplify calculations, including how to multiply by powers of ten. We’ll work through examples like 512 x 46, breaking down each step to understand partial products and the importance of place value. Additionally, we’ll tackle real-world problems that require multiplication, ensuring you're equipped with the skills to solve complex equations with confidence.
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How do you multiply 512 x 46? Those are really big numbers!
In this lesson you will learn how to multiply multi-digit numbers by using the standard algorithm.
Product – The result when two numbers are multiplied. For Example: 4 x 5 = 20 product
Multiplication is repeated addition. 32 + 32 + 32 + 32 + 32 32 x 5 Multiplication is faster!
Multiplying by powers of 10. 36 x 10 = 360 36 x 100 = 3,600 36 x 1,000 = 36,000
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
Multiply 512 x 46 512 x 46 First, we need to multiply 512 by 6. Then we need to multiply 512 by 40.
1 512 x 46 Adding a zero shows that we are multiplying by 10’s. 2 30 7 + 4 20 0 8 23,552 Next, we add the partial products.
2 3 405 x 57 Adding a zero shows that we are multiplying by 10’s. 5 28 3 + 2 20 0 5 23,085 Next, we add the partial products.
In this lesson you have learned how to multiply multi-digit numbers by using the standard algorithm.
Write a real world problem that could be solved by using 32 x 12.
Every student received 24 pencils. If there are 20 students in my class, how many pencils did we have in all?
Write a multiplication equation that has a product of 3,600.
