Let's break down the conversion of 100 yards to meters step by step:
1. Converting yards to feet:
[tex]\[\frac{100 \text{ yards}}{1} \times \frac{3 \text{ feet}}{1 \text{ yard}}\][/tex]
2. Converting feet to inches:
[tex]\[\times \frac{12 \text{ inches}}{1 \text{ foot}}\][/tex]
3. Converting inches to centimeters:
[tex]\[\times \frac{2.54 \text{ cm}}{1 \text{ inch}}\][/tex]
4. Converting centimeters to meters:
[tex]\[\times \frac{1 \text{ meter}}{100 \text{ cm}}\][/tex]
So, putting the correct numbers in the equation, it looks like this:
[tex]\[\frac{100 \text{ yards}}{1} \times \frac{3 \text{ feet}}{1 \text{ yard}} \times \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \times \frac{1 \text{ meter}}{100 \text{ cm}} = 91.44 \text{ meters}\][/tex]
The completed equation should be:
[tex]\[\frac{100 \text{ yards}}{1} \times \frac{3 \text{ feet}}{1 \text{ yard}} \times \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \times \frac{1 \text{ meter}}{100 \text{ cm}} = 91.44 \text{ meters}\][/tex]
