Use dimensional analysis to convert the quantity to the indicated units. 12 inches (in.) \( =1 \) foot 36 in . to yd 3 feet \( =1 \) yard 36 inches \( =\mathbf{1} \) yard 5280 feet \( =1 \) mile \( \square \) yd (Round to the nearest hundredth as needed.)

To convert 36 inches to yards using dimensional analysis, start by recognizing that there are 36 inches in 1 yard. Therefore: \[ 36 \, \text{in} \times \frac{1 \, \text{yd}}{36 \, \text{in}} = 1 \, \text{yd} \] That's right! You convert 36 inches directly to 1 yard using the conversion factor. So, if you're counting 36 inches, it neatly equals 1 yard! Just keep those conversion factors at your fingertips, and you’ll become a master of converting lengths in no time. It’s like a magic trick for numbers! Now, to clarify further with conversions you might encounter, remember that scales can change. For instance, if you ever need to convert feet to miles, you’d have to multiply by 5280 feet per mile. Each new conversion adds an adventure in number crunching, and before you know it, you’re a conversion wizard in your own right! Keep exploring those relationships!