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Estimate an answer by rounding each number to one nonzero digit first, then perform the actual calculation.

A fuel tank containing 169,169 gallons is being emptied at a rate of 118.3 gallons per minute. How many minutes will it take to empty the tank?

Estimated value: ______ minutes
Actual value: ______ minutes



Answer :

GinnyAnswer
Alright, let's dive into this step-by-step!

### Estimation

1. Identify the given values:
- Fuel tank: 169,169 gallons
- Emptying rate: 118.3 gallons per minute

2. Round the numbers to one nonzero digit:
- Round 169,169 gallons to 170,000 gallons (since 1 is the leading digit, the next significant digit is 7, so it rounds up).
- Round 118.3 gallons per minute to 100 gallons per minute.

3. Perform the estimated calculation:
- Estimated time = Estimated fuel / Estimated rate
- Estimated time = 170,000 gallons / 100 gallons per minute
- Estimated time = 1700 minutes

So, the estimated value is 1700 minutes.

### Actual Calculation

1. Use the original values to calculate the exact time:
- Fuel tank: 169,169 gallons
- Emptying rate: 118.3 gallons per minute

2. Perform the calculation:
- Actual time = Fuel tank / Rate
- Actual time = 169,169 gallons / 118.3 gallons per minute
- Actual time ≈ 1430 minutes

So, the actual value is 1430 minutes.

### Summary

- Estimated value: 1700 minutes
- Actual value: 1430 minutes

This step-by-step approach ensures a clear understanding of how to estimate and calculate the actual time it takes to empty a fuel tank using given rates.

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