# Finding Scale Distance From Actual Distance

## Finding Scale Distance from Actual Distance

In this problem, we’re told that 2 towns are 15 miles apart and were asked how many inches apart they’ll be drawn on a map that is drawn at a 1 to 10,000 scale. To figure out how many inches apart they’ll be, we need to convert their actual distance apart into inches, and then divide it down to the map scale. **We have 15 miles.**

We’re going to multiply that by 5,280 feet per 1 mile. The miles will cancel, and we’re left with 15 times 5,280 feet. 5,280 times 15. 5 times zero is zero. 5 times 8 is 40. 5 times 2 is 10 plus 4 is 14. 5 times 5 is 25 plus 1 is 26. 1 times zero, 1 times 8, 1 times 2, and 1 times 5. We’ll add these up and we get 79,200. **15 miles is 79,200 feet.**

**Now, we need to convert our feet to inches.** To do that, we’ll multiply 79,200 feet times 12 inches per 1 foot. The feet cancel, and we have 79,200 times 12. We’ll come over here and do this multiplication. 2 times 2 is 4. 2 times 9 is 18. 2 times 7 is 14 plus 1 is 15. 1 times zero, 1 times 2, 1 times 9, and 1 times 7. We’ll ad these up, and we get 950,400 inches.

Now we know the number of inches in 15 miles, but we need to reduce this to a 1 to 10,000 scale. We’re going to divide our number of inches by 10,000. 950,400 divided by 10,000- there ares four zeroes, so we’re going to move our decimal point four places to the left (1, 2, 3, 4). It’s 95.04 inches. **That’s how far apart those two towns will be drawn on the map.**