3.02 Multiplication with up to 3 digits
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Do you remember how to multiply large numbers by a single digit? We will need this skill in order to multiply two large numbers together. Let's try this problem to practice.
Find $7\times572$7×572.
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Another word that we can use to describe the ones place is 'units'.
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You might notice that sometimes the standard algorithm is called the 'vertical algorithm'. Let's think about why. When we use the standard algorithm, we line our numbers up in 'vertical' place value columns.
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Let's see how to multiply a $2$2 digit number by another $2$2 digit number using an area model.
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Question 1
Find $59\times67$59×67.
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What if we have larger numbers?
This video looks at how we can multiply larger numbers by $1$1 and $2$2 digit numbers by extending long multiplication into a standard algorithm.
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Question 2
Find $296\times13$296×13.
Using a standard algorithm means we can multiply larger numbers the same way, just with more steps. Once we know how to solve problems this way, there's no limit to how big the numbers could be!