6 feet is the same as how many meters? Round your answer to the nearest tenth.
Understand the Problem
The question is asking how to convert 6 feet into meters using the given conversion factor, and it requires the answer to be rounded to the nearest tenth.
Answer
The answer is \(1.8\) meters.
Answer for screen readers
The answer is (1.8) meters.
Steps to Solve
- Convert Feet to Meters Using the Conversion Factor
To convert feet to meters, multiply the number of feet by the conversion factor. Here, we need to convert 6 feet using the conversion factor (1 \text{ ft} \approx 0.305 \text{ m}):
$$ 6 \text{ ft} \times 0.305 \text{ m/ft} = 1.83 \text{ m} $$
- Round the Result to the Nearest Tenth
Next, we will round the result, (1.83 \text{ m}), to the nearest tenth:
- The digit in the tenths place is (8).
- The digit in the hundredths place is (3). Since it is 3, we do not round up.
Thus, rounding (1.83) to the nearest tenth gives us:
$$ 1.8 \text{ m} $$
The answer is (1.8) meters.
More Information
When converting between units, it's important to use the correct conversion factor. In this case, (1 \text{ ft}) being approximately (0.305 \text{ m}) allowed us to find the equivalent distance in meters. Rounding to the nearest tenth helps simplify the number for practical use.
Tips
- Misusing the conversion factor: Make sure to multiply by the correct factor (0.305 m per foot) instead of trying to divide or use an incorrect factor.
- Incorrect rounding: Ensure you understand how to round numbers correctly. Remember that if the next digit is less than 5, you don’t round up.
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