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How do you multiply 512 x 46?
Those are really big numbers!
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In this lesson you will learn how to multiply multi-digit
numbers by using the standard algorithm.
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Let’s ReviewLet’s Review
Product – The result when two numbers are multiplied.
For Example:4 x 5 = 20
product
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Let’s ReviewLet’s Review
Multiplication is repeated addition.
32 + 32 + 32 + 32 + 32
32 x 5 Multiplication is faster!
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Let’s ReviewLet’s Review
Multiplying by powers of 10.
36 x 10 = 36036 x 100 = 3,600
36 x 1,000 = 36,000
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Let’s ReviewA Common Mistake
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
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Let’s ReviewCore Lesson
Multiply 512 x 46
512x 46
First, we need to multiply 512 by
6.
Then we need to multiply 512
by 40.
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Let’s ReviewCore Lesson
512x 46
2
1
7300
Adding a zero shows that we are
multiplying by 10’s.
8420+
23,552Next, we add the partial products.
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Let’s ReviewCore Lesson
405x 57
5
3
3280
Adding a zero shows that we are
multiplying by 10’s.
5220+
23,085Next, we add the partial products.
2
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In this lesson you have learned how to multiply multi-digit
numbers by using the standard algorithm.
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Let’s ReviewGuided Practice
Multiply 422 x 18.
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Let’s ReviewExtension Activities
Write a real world problem that could be solved by using 32 x 12.
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Let’s ReviewExtension Activities
Every student received 24 pencils. If there are 20 students in my class, how many pencils did we have in all?
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Let’s ReviewExtension Activities
Write a multiplication equation that has a product of 3,600.
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Let’s ReviewQuick Quiz
Multiply 290 x 73.
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Let’s ReviewQuick Quiz
Multiply 64 x 48.