Final answer:
The number 2789.453 in expanded form using exponents is written as a sum of each digit multiplied by its corresponding power of 10, indicating its place value.
Step-by-step explanation:
To write the number 2789.453 in expanded form using exponents, you would break down each digit according to its place value and then express each as a power of 10. It would look like this:
2789.453 = (2 × 103) + (7 × 102) + (8 × 101) + (9 × 100) + (4 × 10-1) + (5 × 10-2) + (3 × 10-3)
Where:
- 103 represents the thousand's place,
- 102 represents the hundred's place,
- 101 represents the ten's place,
- 100 represents the one's place,
- 10-1 represents the tenth's place,
- 10-2 represents the hundredth's place, and
- 10-3 represents the thousandth's place.
This expanded form clearly shows the value of each digit in the number 2789.453.