To convert the length from meters to yards, we need to use the given conversion factor. According to the problem, 1 yard is approximately 0.914 meters. We can use this conversion factor to find out how many yards are equivalent to 0.9 meters.
1. Identify the conversion factor: We know that [tex]\(1 \text{ yard} \approx 0.914 \text{ meters}\)[/tex]. To convert meters to yards, we use the reciprocal of this factor.
[tex]\[
1 \text{ meter} \approx \frac{1}{0.914} \text{ yards} \approx 1.094 \text{ yards}
\][/tex]
2. Convert 0.9 meters to yards:
[tex]\[
0.9 \text{ meters} \times 1.094 \text{ yards per meter} \approx 0.9846827133479211 \text{ yards}
\][/tex]
3. Round to one decimal place:
The value [tex]\(0.9846827133479211\)[/tex] rounded to one decimal place is [tex]\(1.0\)[/tex].
Therefore, [tex]\(0.9 \text{ meters} \approx 1.0 \text{ yards}\)[/tex] when rounded to one decimal place.
