video describing how to expand multi digit numbers
What's up everyone. How is it hanging. Today I?m going to talk to you about expanded form. Let's go over and take a look at a few numbers to know what expanded form is.
Ok guys, I want to imaggine in your mind what a Slinky looks like. A slinky is a toy that starts out small but can expand and stretch out.
Expanded form is a lot like a slinky. It?s taking the number and pulling apart of of its digits so that we can find out the value. Here is the number 358. This number is in Standard Form.
If we were asked to put this number in expanded form, the first thing we need to know is how much each of these digits work.
The 3 in this number is in the hundreds place. So the 3 is worth 300.
Now we have the 5. The 5 in this number is worth 50 because it is in the 10s place.
The 8 in this number is only worth 8 because it is in the 1s place.
So if we were to write the number 358 in the Expanded Form, we would have 300 + 50 + 8.
Just like a slinky that we pull apart, this number is stretched out in Expanded Form.
When you stretch out a Slinky and let it go, what does it do? It shrinks back together. Let?s do that with this number.
Now we have the number back in Standard Form. And it looks just like a slinky that is not stretched out. Isn?t that awesome?
Let?s look at another example. Here we have the number 417. So how much is the 4 worth in this number?
The 4 is in the 100s place and so we have 400.
How much is the 1 worth? The 1 is in the 10s place so it is worth 10.
How much is the 7 worth in this number? Since the 7 is in the 1s place, we know it is only worth 7.
Now, just like the slinky being stretched out, we now have the number 417 in the Expanded Form. It is stretched out to show us what the values of each of these digits are. But we cannot forget to put our plus signs in. When you are writing a number in the Expanded Form, you need to remember the addition signs to make the math statements correct.
Let?s move to this board and look at another number. Let?s see if you guys can help figure out how to write the numbers in expanded form.
Here we can see the number 324 ins Standard Form. We need to write this number in Expanded Form.
Let?s start by looking at the 3. How much is the 3 worth in this number? 300! Because it is in the 100s place. So we would write now 300.
Now let?s not forget to write down the plus sign.
Now we have the 2. What is the value of the 2. Twenty since the 2 is in the 10s place. Good job guys! So we write down the 20 and put down the additions signs.
Last of all we have the 4. What is the 4 worth in this number. Since the 4 is in the 1s place, it is worth 4.
So the number 324 written in the Expanded Form is 300 + 20 + 4.
We can also write this math sentence vertically. Let?s take a look at what it would look like.
300 + 20 + 4 = 324
Here we see the same expanded form in a different way.
If you were to add all these numbers together, you would get 324. Isn?t that awesome guys?
Whenever you are asked to write in Expanded Form, I want you to try to think of a toy slinky being stretched out so you can see all of the values of each digit.
Alright guys! Thanks for being with me today. Keep cool and we will see you next time.
Ok guys, I want to imaggine in your mind what a Slinky looks like. A slinky is a toy that starts out small but can expand and stretch out.
Expanded form is a lot like a slinky. It?s taking the number and pulling apart of of its digits so that we can find out the value. Here is the number 358. This number is in Standard Form.
If we were asked to put this number in expanded form, the first thing we need to know is how much each of these digits work.
The 3 in this number is in the hundreds place. So the 3 is worth 300.
Now we have the 5. The 5 in this number is worth 50 because it is in the 10s place.
The 8 in this number is only worth 8 because it is in the 1s place.
So if we were to write the number 358 in the Expanded Form, we would have 300 + 50 + 8.
Just like a slinky that we pull apart, this number is stretched out in Expanded Form.
When you stretch out a Slinky and let it go, what does it do? It shrinks back together. Let?s do that with this number.
Now we have the number back in Standard Form. And it looks just like a slinky that is not stretched out. Isn?t that awesome?
Let?s look at another example. Here we have the number 417. So how much is the 4 worth in this number?
The 4 is in the 100s place and so we have 400.
How much is the 1 worth? The 1 is in the 10s place so it is worth 10.
How much is the 7 worth in this number? Since the 7 is in the 1s place, we know it is only worth 7.
Now, just like the slinky being stretched out, we now have the number 417 in the Expanded Form. It is stretched out to show us what the values of each of these digits are. But we cannot forget to put our plus signs in. When you are writing a number in the Expanded Form, you need to remember the addition signs to make the math statements correct.
Let?s move to this board and look at another number. Let?s see if you guys can help figure out how to write the numbers in expanded form.
Here we can see the number 324 ins Standard Form. We need to write this number in Expanded Form.
Let?s start by looking at the 3. How much is the 3 worth in this number? 300! Because it is in the 100s place. So we would write now 300.
Now let?s not forget to write down the plus sign.
Now we have the 2. What is the value of the 2. Twenty since the 2 is in the 10s place. Good job guys! So we write down the 20 and put down the additions signs.
Last of all we have the 4. What is the 4 worth in this number. Since the 4 is in the 1s place, it is worth 4.
So the number 324 written in the Expanded Form is 300 + 20 + 4.
We can also write this math sentence vertically. Let?s take a look at what it would look like.
300 + 20 + 4 = 324
Here we see the same expanded form in a different way.
If you were to add all these numbers together, you would get 324. Isn?t that awesome guys?
Whenever you are asked to write in Expanded Form, I want you to try to think of a toy slinky being stretched out so you can see all of the values of each digit.
Alright guys! Thanks for being with me today. Keep cool and we will see you next time.