A number written in expanded form is written has the sum of each blank write 39,005 in expanded form
The Correct Answer and Explanation is:
Expanded Form of 39,005:
30,000 + 9,000 + 0 + 0 + 5
Or, more clearly and completely:
30,000 + 9,000 + 0 + 0 + 5 = 39,005
Explanation
Expanded form is a way of writing numbers that shows the value of each digit. Each digit is broken down according to its place value (such as ones, tens, hundreds, thousands, etc.). This helps us understand what each digit in a number represents.
Let’s take the number 39,005.
We look at each digit and its place value:
- 3 is in the ten-thousands place. So, it represents 30,000.
- 9 is in the thousands place. So, it represents 9,000.
- The next digit is 0, which is in the hundreds place. It represents 0 because there are no hundreds.
- The next digit is 0, which is in the tens place. It also represents 0.
- Finally, 5 is in the ones place. It represents 5.
Now we write these values as a sum:
- 30,000 + 9,000 + 0 + 0 + 5
This sum equals the original number:
- 30,000 + 9,000 + 5 = 39,005
Note that the two zero values (0 for hundreds and tens) are often included in teaching to help students understand place value, but in many cases, they may be omitted. For example:
- You can also write the expanded form as 30,000 + 9,000 + 5
Both versions are technically correct. However, including all the place values helps in learning and understanding the value of each digit, especially when zeros are involved.
In conclusion, writing numbers in expanded form strengthens our understanding of place value and helps explain how digits build larger numbers. For 39,005, the expanded form is 30,000 + 9,000 + 0 + 0 + 5, which shows the value of each digit clearly.
