Understanding the Standard Algorithm for Multiplication

The video tutorial covers the standard algorithm for multiplication, starting with an introduction to what an algorithm is. It then provides a detailed example of multiplying 74 by 8, explaining each step of the process. The tutorial also examines common mistakes in multiplication. Finally, it presents a problem involving Don's attempt to multiply 418 by 5, guiding viewers through the correct steps and identifying the correct value for a placeholder variable.

What is an algorithm in the context of mathematics?

• A random sequence of numbers

• A series of steps to solve a problem

• A type of computer software

• A mathematical equation

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CCSS.4.NBT.B.5

In the standard algorithm, where is the 8 placed when multiplying 74 by 8?

• Below the 4

• Above the 4

• Above the 7

• Next to the 7

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CCSS.4.NBT.B.5

What is the result of multiplying 4 by 8 in the standard algorithm?

• 32

• 40

• 56

• 23

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CCSS.4.OA.A.1

Why is the solution incorrect when 4 times 8 is calculated as 23?

• Because 23 is not a valid number

• Because 4 times 8 is actually 32

• Because 23 is too small

• Because 23 is too large

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CCSS.5.NBT.B.5

What is the first step in solving 418 times 5 using the standard algorithm?

• Multiply 8 by 5

• Multiply 5 by 5

• Multiply 4 by 5

• Multiply 1 by 5

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CCSS.4.NBT.B.6

What should 'y' be replaced with in the partial computation of 418 times 5?

• 6

• 5

• 3

• 4

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CCSS.3.OA.D.9

What does the 'y' represent in the computation of 418 times 5?

• Four tens

• Four hundreds

• Four ones

• Four thousands

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CCSS.4.NBT.B.6

How many tens are there after adding the tens in the computation of 418 times 5?

• Nine tens

• Ten tens

• Six tens

• Five tens

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CCSS.5.NBT.B.5

What is the final step in the computation of 418 times 5?

• Multiply 4 by 5

• Multiply 8 by 5

• Multiply 1 by 5

• Multiply 5 by 5

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CCSS.5.NBT.A.2

What is the result of multiplying 4 hundreds by 5 in the computation of 418 times 5?

• 20 hundreds

• 15 hundreds

• 25 hundreds

• 10 hundreds

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CCSS.5.NBT.A.2