Final answer:
The number 74,687 written in expanded form is the sum of its place values: 70,000 + 4,000 + 600 + 80 + 7.
Step-by-step explanation:
What is 74,687 written in expanded form? Writing a number in expanded form means breaking it down into the sum of its individual place values. For the number 74,687, each digit represents a specific place value from the one's place up to the ten thousand's place. When we expand it, we get:
70,000 + 4,000 + 600 + 80 + 7
Here's a breakdown of each place value:
- The '7' is in the ten thousand's place, so it's worth 70,000.
- The '4' is in the thousand's place, so it's worth 4,000.
- The '6' is in the hundred's place, so it's worth 600.
- The '8' is in the ten's place, so it's worth 80.
- The '7' is in the one's place, so it's worth 7.
By adding up these values, we express 74,687 in its expanded form.