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CHEM107 Homework 1: Chapter 1(Math Toolbox) Write your responses to the following problems on separate sheets of paper. Due on the day of 01/31/2022 You can find these problems at the end of the chapter 1 in our Lecture textbook (Bauer, 5th edition). Make sure to show all calculation works and/or explanation, assumption and justification to receive full credit. Only handwritten works will be accepted. Do not submit this study guide printout with your work. Math Toolbox Questions 1.3 Convert each of the following values to scientific notation. (a) 29,500 (b) 0.000082 (c) 650,000,000 (d) 0.0100 1.5 Convert each of the following values from scientific notation to decimal form. (a) 1.86 × 10−5 (b) 1 × 107 (c) 4.53 × 105 (d) 6.1 × 10−3 1.7 For each of the following, carry out the mathematical operation and report answers in scientific notation. (a) (3.1 × 105) × (2.0 × 10−2) (b) (7.0 × 109) ÷ (2.0 × 102) (c) (2.8 × 10−4) ÷ (9.6 × 10−2) (d) (5.0 × 10−4)2 (e) (8.50 × 105) − (3.0 × 104) (f) (6.4 × 10−3) ÷ (4.0 × 103) 1.9 Determine the number of significant figures in the following. (a) 0.0950 (b) 760 (c) 1.005 (d) 0.0052 (e) 3.46 × 1015 1.11 Express the answers to the following operations with the proper number of significant figures. (a) 1.2 × 1.216 (c) (1.201 × 103) × (1.2 × 10−2) 1.13 Express the answers to the following operations with the proper number of significant figures. (a) 1.6 + 1.15 (d) 0.050 − 0.00121.15 Express the answers to the following calculations with the proper number of significant figures and with the correct units. (Assume that the 2 with no units is an exact number.) (c) (0.35 m × 0.55 m) + 25.2 m2 1.17 Round each of the following numbers to three significant figures. (a) 1.2126 (b) 0.2045 (c) 1.8351 (d) 42.186 (e) 0.007101 **WARNING** For Problems 1.19, 1.21 and 1.23, don’t forget to show the conversion process using the appropriate dimensional analysis setup. 1.19 Carry out the following conversions. Report your answers to the correct number of significant figures. (a) 36 mm to m (b) 357 kg to g (c) 76.50 mL to L (d) 0.0084670 m to cm (e) 597 nm to m (f) 36.5 in to cm (g) 168 lb to g (h) 914 qt to L (i) 44.5 cm to in (j) 236.504 g to lb (k) 2.0 L to qt 1.21 Carry out the following conversions. Report your answers to the correct number of significant figures. (a) 947 m to mi (b) 6.74 kg to lb (c) 250.4 mL to gal (d) 2.30 dL to mL (e) 0.000450 cm to nm (f) 37.5 in to m (g) 689 lb to kg (h) 0.5 qt to mL (i) 125 cm to ft (j) 542 mg to lb (k) 25 nL to gal 1.23 Carry out the following conversions. Report your answers to the correct number of significant figures. (a) 375 m/s to ft/min (b) 24.5 cm3 to in3 (c) 19.3 g/mL to

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