7 feet is how many meters? Round your answer to the nearest tenth.
Understand the Problem
The question is asking how to convert 7 feet into meters using the given conversion factor of 1 foot being approximately 0.305 meters. It also requests the answer to be rounded to the nearest tenth.
Answer
$2.1$ meters
Answer for screen readers
The final answer is $2.1$ meters.
Steps to Solve
-
Identify the conversion factor
The problem provides a conversion factor stating that 1 foot is approximately 0.305 meters. -
Set up the conversion calculation
To convert 7 feet to meters, multiply the number of feet by the conversion factor: $$ \text{meters} = \text{feet} \times \text{conversion factor} $$ -
Perform the multiplication
In this case:
$$ \text{meters} = 7 , \text{feet} \times 0.305 , \text{m/foot} $$ -
Calculate the result
The calculation gives: $$ \text{meters} = 7 \times 0.305 = 2.135 , \text{meters} $$ -
Round to the nearest tenth
Now, round 2.135 to the nearest tenth:
- The tenths place is 1 (so we look at the digit in the hundredths place which is 3).
- Since 3 is less than 5, we do not round up. Therefore: $$ \text{rounded meters} = 2.1 , \text{meters} $$
The final answer is $2.1$ meters.
More Information
Converting between units is a common task in mathematics and science. Knowing the relationship between different metric and imperial units is essential for understanding measurements in different contexts.
Tips
- Forgetting to multiply the conversion factor by the number of feet.
- Rounding incorrectly or before completing all calculations. Always round at the end.
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