Checkpoint Quiz 1

.pdf

School

Temple University *

*We aren’t endorsed by this school

Course

CHEM 1031

Subject

Mathematics

Date

Feb 20, 2024

Type

pdf

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.
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