The distance from the park to the grocery store is 0.9 miles. Ezra runs 8 tenths of the distance and walks the rest of the way. How far does Ezra run from the park to the grocery store?
The Correct Answer and Explanation is:
To determine how far Ezra runs from the park to the grocery store, we can start by considering the total distance, which is 0.9 miles.
We know that Ezra runs 8/10 of the total distance. To calculate the distance Ezra runs, we multiply the total distance by 8/10: Distance run=0.9×810\text{Distance run} = 0.9 \times \frac{8}{10}Distance run=0.9×108
Now, let’s perform the calculation: 0.9×810=0.9×0.8=0.72 miles0.9 \times \frac{8}{10} = 0.9 \times 0.8 = 0.72 \text{ miles}0.9×108=0.9×0.8=0.72 miles
So, Ezra runs 0.72 miles from the park to the grocery store.
Explanation:
- The total distance from the park to the grocery store is 0.9 miles.
- Ezra runs 8/10 (or 0.8) of this total distance.
- By multiplying the total distance by 0.8, we find the distance Ezra runs, which is 0.72 miles.
After running 0.72 miles, Ezra then walks the remaining distance. To find out how far Ezra walks, we subtract the running distance from the total distance: Distance walked=0.9−0.72=0.18 miles\text{Distance walked} = 0.9 – 0.72 = 0.18 \text{ miles}Distance walked=0.9−0.72=0.18 miles
Thus, Ezra runs 0.72 miles and walks 0.18 miles to complete the 0.9-mile journey.
