Checkpoint Quiz 1
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School
Temple University *
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Course
CHEM 1031
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
4
Uploaded by PrivateDiscoveryWolf30
/ Checkpoint Quiz 1 Week of January 17, 2023 Your Name: IAU{E Common math mistakes Croium Score: Partner's Name: (;mi'y Seamen Or: How to get the right answer, even if you miscalculate the first time Part 1. Math mistakes. Everyone makes math mistakes sometimes; checking your work helps you find them. Table 1 shows a set of three common mistakes seen in CHEM 1031. Use Table 1 to complete Task 1. Table 1. Three common mistakes. Math Mistake Description Corrected Math 2.189 x 106 m + 3.8 x 10* m = | Mistake 1. Adding or subtracting | 2.189x 105m +3.8 x 10*m = 5.989 x 10°m two values in scientific notation 2227 x 10°m directly. (you need to either first convert each value to same power of 10, or first convert to decimal notation.) 1.0x10°m=1.0 x 10’ km Mistake 2. Changing a prefix multiplier* without also changing the order of magnitude. 1.0x10°m= 1.0 x 10*km 423 x10* Mistake 3. Writing an answer in scientific notation with a coefficient greater than 10 or less than 1. 423 x10° Task 1. Use Table 1 to identify mistakes in the response to problem A below. Describe the mistakes and correct the math. Then, write out a correct approach to problem B. Problem A: What is 2.78 x 108 L —3.80 x 108 mL? Answer in mL and in scientific notation. Response with mistakes Description of mistakes Corrected Math 2.78 x 105L —3.80 x 10* mL 2.78 x 105 mL — 3.80 x 108 mL 27.8x10° mL -3.80 x 10° mL 2020 */0% Answer =24.0 x 105 mL Jou Must convert e Gest Jerm fo mL bdurc Svorre kg N0 CANVErSictt Lhas ey o Mg barst form n ovddes Yo ((flgw (/] mM( . e duitagh place s noved o, e ulhply (238x 10¢) %07 +o eud Wi ML, e o subbrzek 390 %109 } mulkiply (2 1%xr06 ) qto” 278 %02 ML e 1% okl b 18507 ml by rulhiplyiny by /03
Task 1, continued. Problem B: What is 2189 x 10°m + 3.8 x 10* m? Answer in cm and in scientific notation. Correct approach: y - L IRARIO kw1 fp7C = 248G %107 M = B x(phm) x 107° = 557107 Cu e - Z,ZX/OHCM K Part 2. More Math mistakes. Beyond unit conversions and scientific notation, 4 other common math mistakes in CHEM 1031 and CHEM 1033 involve with rounding and significant figures. Use Table 2 to complete Task 2. Table 2. Four more common mistakes. Math Mistake Description Corrected Math | 340x3.02= Mistake 4. Treating trailing zeroes 340 x3.02= 1.03x 103 as significant in the absence of a 1.0x 103 decimal point. 5.569+.23= Mistake 5. Rounding away a 5.569 +.23= 5.8 significant trailing zero. 5.80 (1.6 x 1.21) x 3.021 = Mistake 6. Rounding at each step (1.6 x 1.21) x 3.021 = 1.9x3.021 = of problem solving, rather than 1.936 x 3.021 = 5.7 maintaining extra digits and waiting 5.8 until the end to round. (2.8x 4.532)+12.690= | Mistake 7. Only considering (2.8 x4.532) + 12.690 = 12.6896 +12.690 = significant figures at the end, rather 12.6896 + 12.690 = 25.380 than considering sig figs at each 25 step.
ask 2. sing Table 2, work with a partner to come up with examples of the four common math mistakes that >uld arise in rounding and significant figures. (Note that C and D require multi-step examples.) Then, rovide the correct math. A. Treating trailing zeroes as significant in the absence of a decimal point. ( Example of math mistake Corrected Math 5 23500 cow * (00 can * HRIOTCM 550%\% 100,,, = 550000 g B. Rounding away a significant trailing zero. | Example of math mistake Corrected Math G5 cm * 030 em (IS e + D10 M =Tl e =l C. Rounding at each step of problem solving, rather than maintaining a few extra digits and waiting until the end to round. r Example of math mistake Corrected Math (1.213x 1.6) ¥ >4 (L.21g x2.) ¥ 3.4 8. Lsms .\ 310G% * 3. M =00.0 = q'D’h, D. Only considering significant figures at the end, rather than considering sig figs at each step. [ Example of math mistake* Corrected Math (31%8.292) * 6.3 (3.7+%.192) +1¢.3 52,9300 & 16.3 72’_1_.650b( +L :q%% -u4a.0 *HINT: Check your work from Part 1. Did you use the correct number of significant figures?
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Part 3. Checking your work. You will be able to find your mistakes if follow these steps: 1. Write out your work; enough so someone else can explain what you did 2. Check your work for the common mistakes in Table I and Table 2 3. Practice is key. Task 3. Attempt the problems D, E and F. Write out your work. Then, have a partner check your work for common math mistakes 1 through 7 from Table 1 and Table 2. Finally, check the box to acknowledge the partner feedback. Your Attempt Partner Check Problem D. (2.0 x 4.600) + 100 =? q 2+ { OO = lquXIO 2z = 104.2 4 M I acknowledge my partner’s feedback Problem E. How many pm are in 100.0 km? Express your answer in scientific notation. 0.0 Y ¥ \0 “mam = | Lr 100.0 y16° um Yy 100. 0> 10© p | LA =100410¢ um MI acknowledge my partner’s feedback Problem F. (4.82 x 10-5) —(B.1x10%+(23x10%=2 (U.524167) = (5.4 ¢10°®) U (4.61X100)+(z2%10) =474%10°5 =407 MI acknowledge my partner’s feedback