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Complete the steps for converting 100 yards to meters.
(1 yard = 3 feet, 1 foot [tex]$=12$[/tex] inch, 1 inch [tex]$=2.54$[/tex] centimeter, 100 centimeter [tex]$=1$[/tex] meter)

[tex]\[
\frac{100 \text{ yards}}{1} \times \frac{3 \text{ feet}}{1 \text{ yard}} \times \frac{12 \text{ inch}}{1 \text{ foot}} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \times \frac{1 \text{ meter}}{100 \text{ cm}} = 91.44 \text{ meters}
\][/tex]



Answer :

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]