Write the expanded form of the numbers in the table below:
| Number | Expanded form |
|---|---|
| 7,653 | |
| 6,745 | |
| 9,751 | |
| 8,990 | |
| 6,609 | 6,000 + 600 + 9 |
| 3,009 | |
| 3,010 | |
| 8,700 | |
| 2,045 | |
| 6,107 | |
Answer (1)
To write a number in expanded form, you break down the number to show the value of each digit. This involves expressing the number as a sum of each digit multiplied by its place value. Here’s how you can convert each number from the table into expanded form:
7,653 :
7,653 in expanded form is: 7 , 000 + 600 + 50 + 3
6,745 :
6,745 in expanded form is: 6 , 000 + 700 + 40 + 5
9,751 :
9,751 in expanded form is: 9 , 000 + 700 + 50 + 1
8,990 :
8,990 in expanded form is: 8 , 000 + 900 + 90 + 0
6,609 : ( This number is already partially expanded, so let's correct it )
6,609 in expanded form should be: 6 , 000 + 600 + 0 + 9
3,009 :
3,009 in expanded form is: 3 , 000 + 0 + 0 + 9
3,010 :
3,010 in expanded form is: 3 , 000 + 0 + 10 + 0
8,700 :
8,700 in expanded form is: 8 , 000 + 700 + 0 + 0
2,045 :
2,045 in expanded form is: 2 , 000 + 0 + 40 + 5
6,107 :
* 6,107 in expanded form is:
\[6,000 + 100 + 0 + 7\]
Understanding expanded form helps you grasp the value of each digit in a number by breaking it down into individual place value components. This is a foundational skill in mathematics that aids in understanding more complex arithmetic operations.
