ClassX Video Lessons Youtube Channel Virtual Elementary School Grade 6 Math: Writing Numbers in Expanded Form
Let’s have some fun learning how to write numbers in expanded form! Today, we’re going to look at the number 23,045 and break it down to see what each digit really means.
Expanded form is a way of writing numbers that shows the value of each digit. It helps us understand what each part of the number stands for.
Let’s start with the number 23,045. We will look at each digit from left to right, starting with the biggest value.
The first digit is 2, and it’s in the 20,000’s place. This means it stands for 20,000. So, we write 20,000.
Next, we have the number 3. It’s in the thousands place, which means it stands for 3,000. So, we write 3,000.
After that, there’s a 0. When there’s a zero, we don’t need to write anything for that place value because it doesn’t add anything to the number.
Now, we see the number 4. It’s in the tens place, so it stands for 40. We write 40.
Finally, we have the number 5. It’s in the ones place, so it stands for 5. We write 5.
Now, let’s put all these parts together. In expanded form, 23,045 is written as:
20,000 + 3,000 + 40 + 5
We can also write this using words:
20,000 (twenty thousand) + 3,000 (three thousand) + 40 (forty) + 5 (five)
Expanded form helps us see the value of each digit in a number. It’s like taking a number apart to see how it fits together. This makes it easier to understand big numbers and how they work!
Now you know how to write numbers in expanded form. Try it with other numbers to see how fun it can be!
Number Detective: Become a number detective and find numbers around your home or classroom. Look at things like page numbers in a book, numbers on a clock, or prices on a menu. Choose a number and write it in expanded form. For example, if you see the number 47, write it as 40 + 7. Share your findings with a friend or family member and explain what each digit represents.
Expanded Form Art: Create a piece of art using numbers in expanded form. Draw a large number on a piece of paper, like 56,789. Then, use different colors to write each part of the number in expanded form around it, such as 50,000 + 6,000 + 700 + 80 + 9. Decorate your artwork with drawings or stickers that represent each part of the number, like drawing 50 stars for 50,000.
Expanded Form Story: Write a short story about a number that goes on an adventure. For example, the number 23,045 could be a character who visits different places, and each place represents a part of the number. As the number visits each place, describe what happens and how it relates to the expanded form, like visiting a castle with 20,000 rooms or a park with 3,000 trees. Share your story with the class or a family member.
Here’s a sanitized version of the provided YouTube transcript:
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Let’s practice writing numbers in expanded form. Our question says to write the number 23,045 in expanded form. We’ll start by writing out the number 23,045. The expanded form of a number shows the value that each digit in that number has.
Our first step for writing numbers in expanded form is to work from left to right. The numbers on the left have the highest place value, and as we move to the right, they have lower place values.
Let’s start by looking at the two. The two has four places beside it, so we know it’s in the 20,000’s column. Since there are two of them, this is 20,000. We’ll start by writing out 20,000. Before we can move to the next number, we need to add a plus sign.
Now we see that the next number is a three. The three is in the thousands column, so we have 3,000. Now we see that there’s a zero. If the number has a zero in the place value, this place value is simply ignored or not mentioned, so we can move on to our next value.
Now we see a four. We write this number as 40 since it is in the tens column. The five is our last number to work with, and it’s in the ones column, so we write this as just five.
Now that we’ve written out our expanded form using numbers, we can also write it out using words. The 20,000 is the same as 20,000, so we will write 20,000. Now, moving on to our next number, we see it’s 3,000. We add our plus sign and say 3,000.
Now we’re at the tens. This number is 40, which is the same as 4 tens. Finally, our last number is a five, which is in the ones column, so we write this as five ones.
This is how we write numbers in expanded form using both numbers and words.
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This version removes any informal language and clarifies the content while maintaining the instructional nature of the original transcript.
