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QuestionMathematics

How close are a meter and a yard? Convert 1 meter into yards by using the following facts: There are 100 centimeters in a meter. There are 2.54 centimeters in an inch. There are 12 inches in a foot. There are 3 feet in a yard. Round your answer to the nearest tenth of a yard.
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Answer

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Step 1:
I'll solve this step-by-step using precise LaTeX formatting:

Step 2:
: Convert meters to centimeters

1 \text{ meter} = 100 \text{ centimeters}

Step 3:
: Convert centimeters to inches

• Conversion calculation: $$\frac{100 \text{ cm}}{2.54 \text{ cm/inch}} = 39.370 \text{ inches}
• We know 1 inch = 2.54 centimeters

Step 4:
: Convert inches to feet

• Conversion calculation: $$\frac{39.370 \text{ inches}}{12 \text{ inches/foot}} = 3.281 \text{ feet}
• We know 1 foot = 12 inches

Step 5:
: Convert feet to yards

• Conversion calculation: $$\frac{3.281 \text{ feet}}{3 \text{ feet/yard}} = 1.094 \text{ yards}
• We know 1 yard = 3 feet

Step 6:
: Round to nearest tenth

1.094 \text{ yards} \approx 1.1 \text{ yards}

Final Answer

1 meter is approximately 1.1 yards.