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3 Math Practice Name: Physics 357 Some Initial Math Practice, Part 2 Unit analysis is the method by which you use ratios, or fractions, to convert quantities between units, e.g., inches to meters or seconds to minutes. The trick is to establish ratios whereby the unit that you want lives in the numerator and does not get canceled out by the denominator. Here are two examples: How many quarters are in $5? Well, you know there are 4 quarters in a dollar, so.. quarters X 5 dollars 0 quarters 1 dollar 1 Note that the dollars in the numerator cancels out with the dollar in the denominator, so what you're left with is quarters. How many dollars is 17 quarters? 1 dollar 17 quarters 4.25 dollars - X 4 quarters 1 Note that we just flipped the conversion ratio to get the units that we wanted in the numerator! 1. How many miles is 2200 meters? (By the way, don't just google it! - do a web search or look in a physics text to find the conversion ratio and then set it up like the example above) 2. How many millimeters are in 3 inches? (see above for instructions) 3. How many feet are in one lightyear? (hint: first convert to km, or meters, then feet). Put your answer in proper scientific notation Math Practice When we deal with really big numbers, we often use scientific or engineering notation. It's all about counting how many digits are before or after the decimal point. For example: 1,000 1x103 scientific notation 1E3 engineering notation 1EE3 (which is what you have to punch into many calculators) Warning: make sure that your calculator is using either the big E or EE, and not the little e! Your calculator also should understand that 10E2 1E3 1000. 25,000 2.5x104 2.5E4 = 25E3 Wolt 0.0034 3.4x103 = 3.4E-3 Negative powers are for numbers smaller than one! Now do the following calculations. VT 1012 x 10-10 4. w 1012 10-10 5. 2x10-12 x 3x1010= 5. 6. 8x1013 2x106

3 Math Practice Name: Physics 357 Some Initial Math Practice, Part 2 Unit analysis is the method by which you use ratios, or fractions, to convert quantities between units, e.g., inches to meters or seconds to minutes. The trick is to establish ratios whereby the unit that you want lives in the numerator and does not get canceled out by the denominator. Here are two examples: How many quarters are in $5? Well, you know there are 4 quarters in a dollar, so.. quarters X 5 dollars 0 quarters 1 dollar 1 Note that the dollars in the numerator cancels out with the dollar in the denominator, so what you're left with is quarters. How many dollars is 17 quarters? 1 dollar 17 quarters 4.25 dollars - X 4 quarters 1 Note that we just flipped the conversion ratio to get the units that we wanted in the numerator! 1. How many miles is 2200 meters? (By the way, don't just google it! - do a web search or look in a physics text to find the conversion ratio and then set it up like the example above) 2. How many millimeters are in 3 inches? (see above for instructions) 3. How many feet are in one lightyear? (hint: first convert to km, or meters, then feet). Put your answer in proper scientific notation Math Practice When we deal with really big numbers, we often use scientific or engineering notation. It's all about counting how many digits are before or after the decimal point. For example: 1,000 1x103 scientific notation 1E3 engineering notation 1EE3 (which is what you have to punch into many calculators) Warning: make sure that your calculator is using either the big E or EE, and not the little e! Your calculator also should understand that 10E2 1E3 1000. 25,000 2.5x104 2.5E4 = 25E3 Wolt 0.0034 3.4x103 = 3.4E-3 Negative powers are for numbers smaller than one! Now do the following calculations. VT 1012 x 10-10 4. w 1012 10-10 5. 2x10-12 x 3x1010= 5. 6. 8x1013 2x106

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3 Math Practice Name: Physics 357 Some Initial Math Practice, Part 2 Unit analysis is the method by which you use ratios, or fractions, to convert quantities between units, e.g., inches to meters or seconds to minutes. The trick is to establish ratios whereby the unit that you want lives in the numerator and does not get canceled out by the denominator. Here are two examples: How many quarters are in $5? Well, you know there are 4 quarters in a dollar, so.. quarters X 5 dollars 0 quarters 1 dollar 1 Note that the dollars in the numerator cancels out with the dollar in the denominator, so what you're left with is quarters. How many dollars is 17 quarters? 1 dollar 17 quarters 4.25 dollars - X 4 quarters 1 Note that we just flipped the conversion ratio to get the units that we wanted in the numerator! 1. How many miles is 2200 meters? (By the way, don't just google it! - do a web search or look in a physics text to find the conversion ratio and then set it up like the example above) 2. How many millimeters are in 3 inches? (see above for instructions) 3. How many feet are in one lightyear? (hint: first convert to km, or meters, then feet). Put your answer in proper scientific notation
Transcribed Image Text:3 Math Practice Name: Physics 357 Some Initial Math Practice, Part 2 Unit analysis is the method by which you use ratios, or fractions, to convert quantities between units, e.g., inches to meters or seconds to minutes. The trick is to establish ratios whereby the unit that you want lives in the numerator and does not get canceled out by the denominator. Here are two examples: How many quarters are in $5? Well, you know there are 4 quarters in a dollar, so.. quarters X 5 dollars 0 quarters 1 dollar 1 Note that the dollars in the numerator cancels out with the dollar in the denominator, so what you're left with is quarters. How many dollars is 17 quarters? 1 dollar 17 quarters 4.25 dollars - X 4 quarters 1 Note that we just flipped the conversion ratio to get the units that we wanted in the numerator! 1. How many miles is 2200 meters? (By the way, don't just google it! - do a web search or look in a physics text to find the conversion ratio and then set it up like the example above) 2. How many millimeters are in 3 inches? (see above for instructions) 3. How many feet are in one lightyear? (hint: first convert to km, or meters, then feet). Put your answer in proper scientific notation
Math Practice When we deal with really big numbers, we often use scientific or engineering notation. It's all about counting how many digits are before or after the decimal point. For example: 1,000 1x103 scientific notation 1E3 engineering notation 1EE3 (which is what you have to punch into many calculators) Warning: make sure that your calculator is using either the big E or EE, and not the little e! Your calculator also should understand that 10E2 1E3 1000. 25,000 2.5x104 2.5E4 = 25E3 Wolt 0.0034 3.4x103 = 3.4E-3 Negative powers are for numbers smaller than one! Now do the following calculations. VT 1012 x 10-10 4. w 1012 10-10 5. 2x10-12 x 3x1010= 5. 6. 8x1013 2x106
Transcribed Image Text:Math Practice When we deal with really big numbers, we often use scientific or engineering notation. It's all about counting how many digits are before or after the decimal point. For example: 1,000 1x103 scientific notation 1E3 engineering notation 1EE3 (which is what you have to punch into many calculators) Warning: make sure that your calculator is using either the big E or EE, and not the little e! Your calculator also should understand that 10E2 1E3 1000. 25,000 2.5x104 2.5E4 = 25E3 Wolt 0.0034 3.4x103 = 3.4E-3 Negative powers are for numbers smaller than one! Now do the following calculations. VT 1012 x 10-10 4. w 1012 10-10 5. 2x10-12 x 3x1010= 5. 6. 8x1013 2x106
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