Video: Solving Word Problems Involving Multiplication of a Three-Digit Number by a One-Digit Number

If a merchant bought 747 chocolate bars, which cost 7 pounds each, what was the total price?

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Video Transcript

If a merchant bought 747 chocolate bars, which cost seven pounds each, what was the total price?

In this problem, we have the story of someone who owns a shop, a merchant, who buys 747 chocolate bars. They must be buying that many to sell in their shop. And we’re told that the chocolate bars cost seven pounds each. We’re then asked to find the total price of all of the chocolate bars.

We can find the answer by multiplying the number of chocolate bars by the price of each chocolate bar, 747 multiplied by seven. To help us find the answer, we can use short multiplication, 747 multiplied by seven. Let’s use our knowledge of the seven-times table to help us find the answer. We need to multiply each of the digits in 747 by seven.

Let’s start with the ones. Seven multiplied by seven equals 49. So, we know seven ones multiplied by seven equal 49 ones, which is the same as nine ones and four 10s. Now we can multiply our tens digit. Four sevens are 28. So, four 10s multiplied by seven equal 28 10s, plus the four 10s that we exchanged takes us to 32 10s, which is the same as two 10s and three 100s.

Now let’s multiply the hundreds digit. As we’ve already seen seven sevens are 49. So, seven 100s multiplied by seven equals 49 100s, plus the three 100s that we’ve exchanged equal 52 100s, which we know is the same as two 100s and five 1000s.

To find the answer, we multiplied the number of chocolate bars 747 by the cost of each chocolate bar, which was seven pounds. And so, the total price of all of the chocolate bars was 5229 pounds.

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