Question Video: Understanding the Short-Hand Method for Division | Nagwa Question Video: Understanding the Short-Hand Method for Division | Nagwa

Question Video: Understanding the Short-Hand Method for Division Mathematics

Find the quotient.

02:14

Video Transcript

Find the quotient.

This is a really interesting question because although we can see some numbers, we can’t see any of the four symbols we’d often see when we’re doing a calculation. There’s also a tricky word. Find the “quotient.” So before we start, let’s go over what this tricky word means and also why these numbers are being written this way. The word “quotient” means the result when one number is divided by another. You know how we use the word “total” when we add two numbers together, and the answer is the total. Or “product,” when we multiply two numbers together, the answer is the product. Well, if we divide two numbers, the answer to that is the quotient.

So the first thing we can say about this question is that it’s a division calculation. And the way that it’s been written is just a way that we can sometimes write divisions. This is the number we’re starting with, 35. And the number on the left is always the number we’re dividing by. This question is just another way of asking us, what’s 35 divided by seven? Or if you want to read the numbers from left to right, how many sevens are there in 35? We can use our knowledge of multiplication to help us here because division and multiplication are inverse operations. They’re opposites. If we know the number that we multiply by seven to get 35, then we know the number of sevens there are in 35.

Let’s go through our seven times tables facts. One times seven is seven, two sevens are 14, three sevens are 21, four times seven equals 28. And here’s the fact we’re looking for: five sevens are 35. And if we know that five times seven equals 35, we also know that the number of sevens that there are in 35 is five. In this question, we’ve used our knowledge of a seven times tables fact to help us divide by seven. Five times seven equals 35. And so we know 35 divided by seven equals five.

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