Useful ratios you may need for this worksheet 1 4 1 3

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Useful ratios you may need for this worksheet: 1 ?? 4 ???? , 1 ?? 3 ?? , 100 ?? 1 ? , 10 ?? 1 ?? , 1 ?? 16 ?? , 0.62 ?? 1 ?? , 5280 ?? 1 ?? , 1 ?? 12 ?? , 3.78 𝐿 1 ??? , 1 ?? 2.54 ?? , 28.35 ? 1 ?? , 1 ?? 1000 ? , 1 ??? 8 ?? 𝑏. 6 ???? ??????? 1 ?? _____ 70 ???? ??????? 1 ?? c . 3 ???? ?? ?????? $1 _____ 22 ?? ?? ?????? $1 d. 100 ?? 1 ??? _____ 1 ?? 1 ??? 4. Jack and Jill have a biking race. Jack rides at a constant speed of 10 miles per hour. Jill rides at a constant speed of 600 feet per minute. Who finishes first? Show your work to explain why. e. 27 ?? 1 ??? _____ 20 ?? 1 𝐿 f. 8 ?? ?? 𝑤?????? 1 ? ?? ?????? ???? _____ 20 ?? 1 ??
Name:_______________ Date: ____________ Class: ___________ Dimensional Analysis Worksheet 2 1. Convert each of the given rates into the indicated equivalent rate. Use a calculator and round to the nearest tenth where necessary. The first example has been done for you. What you are given What you want to get : : Useful ratios you may need for this worksheet: 1 ?? 4 ???? , 1 ?? 3 ?? , 100 ?? 1 ? , 10 ?? 1 ?? , 1 ?? 16 ?? , 0.62 ?? 1 ?? , 5280 ?? 1 ?? , 1 ?? 12 ?? , 3.78 𝐿 1 ??? , 1 ?? 2.54 ?? , 28.35 ? 1 ?? , 1 ?? 1000 ? b. 25 ?? 1 ??? KEY
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Name:_______________ Date: ____________ Class: ___________ Dimensional Analysis Worksheet 2 (Continued) 2. Which measure is greater? Use dimensional analysis to convert one rate to the units of the other rate (round to the nearest tenth where necessary). Then insert a >, <, or = sign between the two rates. The first example has been done for you. 75 ?? 1 ??? < 𝑏. 6 ???? ??????? 70 ???? ??????? < : KEY : : : < : : NOTE: There are two ways to work each of the problems in #2, #3, and #4 as the student can choose which measure he or she would like to convert to the units of the other measure. One of the two methods is shown here. Feel free to work some of the problems using the “other” method also, discussing the potential merits of each method.
4. Jack and Jill have a biking race. Jack rides at a constant speed of 10 miles per hour. Jill rides at a constant speed of 600 feet per minute. Who finishes first? Show your work to explain why. :
3. Kyoshi and Abdul are ready to eat some fruit! There are 25 calories per ounce of banana. There are 288 calories per pound of apple. If both boys eat the same weight of food, but Kyoshi eats bananas and Abdul eats apples, who eats less calories? Show your work to explain why. :

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