Question Video: Understanding Place Value When Multiplying | Nagwa Question Video: Understanding Place Value When Multiplying | Nagwa

Question Video: Understanding Place Value When Multiplying

54 ones × 10 = _. [A] 64 ones [B] 64 tens [C] 54 tens [D] 54 hundreds [E] 54 thousands

03:18

Video Transcript

54 ones multiplied by 10 equals what. 64 ones, 64 tens, 54 tens, 54 hundreds, or 54 thousands.

In this problem, we’re multiplying a value by 10. So in a way, it is a multiplication question. But the answer we’re expected to give isn’t a number on its own. We’re told that we need to multiply 54 ones by 10. And if we look at all the possible answers, we can see that we’re not looking for a number on its own. We’re looking for a number of ones, tens, hundreds, or thousands. What do ones, tens, hundreds, and thousands have in common? It’s all to do with place value. So this question is really asking us, what happens to 54 ones if we multiply them by 10? How does their place value change?

Perhaps the best place to start is to draw a place value grid, one that contains ones, tens, hundreds, and thousands. Now, what do we know about each of the columns in a place value grid? Well, as we move from right to left, each new column is worth 10 times as much as the one before. So a one in the ones place is worth 10 times as much, if we put it in the tens place. And similarly, a one in the tens place is worth 10 times as much as a one in the hundreds place. And the same is true as we move from hundreds to thousands. Each column to the left of another column is worth 10 times as much.

Now we’re told we have 54 ones. If we’re going to write digits, we can’t write a five and a four in the ones place because we can only write one digit in each place. So let’s imagine we’ve got maths equipment instead. And we can actually put 54 ones in the ones place. Here’s what 54 ones might look like. And If we multiply these 54 ones by 10, they’re going to have a value that’s 10 times as great as they do now. Remember, we said this is the same as moving them to the next column on the left. And so our 54 ones become worth 54 tens.

We can show the same answer using digits. 54 ones are the same as the number 54 which is five tens and four ones. This has the same value as 54 ones. And so if we multiply 54 by 10, each digit is going to move to the column on its left. It’s going to become 10 times greater. Five tens will now become worth five hundreds, and four ones will now become worth four tens. 54 then multiplied by 10 equals 540. This is the same as 54 tens. 54 ones multiplied by 10 equals 54 tens.

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