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Multiplication Using The Standard Algorithm
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What you will learn from this videoWhat you will learn
- How to multiply using the standard algorithm.
- When you multiply numbers with 2 or more digits, you get partial products, that are added together to find the answer.
- This knowledge can help us quickly count large numbers of things like jelly balls, fan mail and even coins in a video game!
- Discussion Questions
Before Video
What does product mean?
ANSWERThe final result when you multiply.
4 thousands, 7 hundreds, 8 tens, and 2 ones.
ANSWER90 × 30 = 2,700.
I can draw a model with four sections. On the top, I put 80 and 7. On the left, I put 30 and 1. The four sections represent the four partial products.
80 × 30 = 2,400, 7 × 30 = 210, 80 × 1 = 80, 7 × 1 = 7. 2,400 + 210 + 80 + 7 = 2,697.
ANSWERYes, my estimate was very close. It is important because it lets us know approximately what number to expect, and if we make a mistake in our calculations, we know that we need to go back and fix it.
After Video
Which is better, the area model or the multiplication algorithm?ANSWERBoth help us in different ways. The area model helps us to understand what we are multiplying and to visualize the result. The algorithm is faster and can help us multiply large numbers more quickly, but we should only use it if we understand what it represents.
ANSWERSometimes when we use the multiplication algorithm, we end up with two or more partial products. These are part of the answer, and need to be added together to get the final product.
ANSWERMultiplying 7 × 2 is 7 × 2 ones, multiplying 7 × 5 is 7 × 5 tens, multiplying 7 × 3 is 7 × 3 hundreds.
ANSWERThe 5 goes under the ones place and the 6 is written above the tens place, to be added to the product after multiplying by 8 × 1.
He forgot to write a 0 on the ones place of the second partial product. We need to put 0 in the ones place because there are 0 ones in the partial product. He also forgot to add the partial products together to get the final product.
- Vocabulary
- Product DEFINE
The final answer in a multiplication problem.
- Partial product DEFINE
Part of the product that is added to another part to form the product.
- Area model DEFINE
A multiplication method that uses rectangles and breaks numbers up by place value.
- Algorithm DEFINE
A set of rules and steps that you follow to perform a calculation.
- Place value DEFINE
The value of each digit in a number.
- Digit DEFINE
Any numeral between 0 and 9 that forms part of a number.
- Product DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
Use the standard algorithm to multiply: 443 × 2.
Level 2
Use the standard algorithm to multiply: 157 × 5.
Level 3
Use the standard algorithm to multiply: 143 × 26.
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