Answer :
To understand whether a bigger or smaller number of yards will be needed to reach the same length when measuring a volleyball court, we need to realize the relationship between feet and yards.
1. Unit Conversion Basics:
- In the standard unit conversion, [tex]\( 1 \text{ yard} = 3 \text{ feet} \)[/tex].
- This means that a yard is a larger unit of measurement compared to a foot.
2. Conceptual Understanding:
- Since [tex]\( 1 \text{ yard} \)[/tex] covers the same distance as [tex]\( 3 \text{ feet} \)[/tex], we need fewer yards to measure the same length as we would if we were using feet.
3. Illustration with an Example:
- Suppose the length of the volleyball court is [tex]\( 30 \text{ feet} \)[/tex].
- Convert this measurement into yards:
[tex]\[ \text{Number of yards} = \frac{\text{Number of feet}}{3} \][/tex]
Substituting our example,
[tex]\[ \text{Number of yards} = \frac{30 \text{ feet}}{3} = 10 \text{ yards} \][/tex]
4. General Conclusion:
- For every [tex]\( 3 \text{ feet} \)[/tex], we need only [tex]\( 1 \text{ yard} \)[/tex].
- Therefore, to measure the same length, the number of yards will always be one third of the number of feet. This clearly shows that a smaller number of yards will be needed compared to the number of feet for the same length measurement.
Conclusion:
A smaller number of yards will be needed to reach the same length as measured in feet. This is because yards are a larger unit of length than feet, and thus fewer yards are required to cover the same distance.
1. Unit Conversion Basics:
- In the standard unit conversion, [tex]\( 1 \text{ yard} = 3 \text{ feet} \)[/tex].
- This means that a yard is a larger unit of measurement compared to a foot.
2. Conceptual Understanding:
- Since [tex]\( 1 \text{ yard} \)[/tex] covers the same distance as [tex]\( 3 \text{ feet} \)[/tex], we need fewer yards to measure the same length as we would if we were using feet.
3. Illustration with an Example:
- Suppose the length of the volleyball court is [tex]\( 30 \text{ feet} \)[/tex].
- Convert this measurement into yards:
[tex]\[ \text{Number of yards} = \frac{\text{Number of feet}}{3} \][/tex]
Substituting our example,
[tex]\[ \text{Number of yards} = \frac{30 \text{ feet}}{3} = 10 \text{ yards} \][/tex]
4. General Conclusion:
- For every [tex]\( 3 \text{ feet} \)[/tex], we need only [tex]\( 1 \text{ yard} \)[/tex].
- Therefore, to measure the same length, the number of yards will always be one third of the number of feet. This clearly shows that a smaller number of yards will be needed compared to the number of feet for the same length measurement.
Conclusion:
A smaller number of yards will be needed to reach the same length as measured in feet. This is because yards are a larger unit of length than feet, and thus fewer yards are required to cover the same distance.
