Practice: Math in Chemistry

1. SI Units What does each unit represent? Write out the word.mL = millilitercm = centimetermol = molekg = kilogram 2. Which measurement is larger? 14 mm 1 cm 3. Which of the following measurement(s) are less than a meter? centimeter (cm) kilometer (km) millimeter (mm) 4. Place the following in order from the SMALLEST to the LARGEST number 6.2 x 10^3 3 6.2 x 10^-13 1 (smallest) 6.2 x 10^-3 2 6.2 x 10^13 4 (largest) 5. Convert Convert the following numbers to scientific notation.To make an exponent, highlight the number and a menu will pop up. Click on x2 to make it an exponent. Number Scientific Notation 0.0007531 7.531x10-4 946,000 9.46x105 82.0 8.20x101 6. Convert Convert the following numbers to decimal notation. Scientific Notation Decimal Notation 2.05 x 10-2 0.0205 7.10 x 105 710000 7. Dimensional Analysis How many kilometers are equivalent to 5700 m?Show your work in the table below. Treat each box like a fence. If there is an empty fence, leave the box empty. Put your final answer in the top right box. Don't forget your units! 5700 m 1 km 5.7 km blank 1000 m blank 8. Dimensional Analysis How many grams (g) are equivalent to 429 centigrams (cg)?Show your work in the table below. Treat each box like a fence. If there is an empty fence, leave the box empty. Put your final answer in the top right box. Don't forget your units! 429 cg 1 g 4.29 g blank 100 cg blank 9. Dimensional Analysis Calculate the volume of an object that has a density of 8.93 g and a mass of 25.6 g.Show your work in the table below. Treat each box like a fence. If there is an empty fence, leave the box empty. Put your final answer in the top right box. Don't forget your units! 25.6 g 1 mL 2.87 mL blank 8.93 g blank 10. Dimensional Analysis 572 mL = ? gallons(1 gal = 3.788 L)Click on each box to complete the fence. 572 mL 1 L 1 gal 0.151 gal blank 1000 mL 3.788 L blank 11. Dimensional Analysis 4.21 m = ? in(1 in = 2.54 m)Click on each box to complete the fence. 4.21 m 100 cm 1 in 166 in blank 1 m 2.54 m blank 12. Dimensional Analysis 360 L = ? quarts(1 gal = 3.788 L)(1 gal = 4 quarts)Show your work in the table below. Treat each box like a fence. Put your final answer in the top right box. Don't forget your units! 360 L 1 gal 4 quarts 380 quarts blank 3.788 L 1 gal blank 13. Avogadro's Number How many molecules of O2 are in 5.2 moles of O2?Show your work in the table below. Put your final answer in the top right box. Don't forget your units!To make an exponent, highlight the number and a menu will pop up. Click on x2 to make it an exponent. 5.2 mol O2 6.02x1023 molecules O2 3.13x1024 molecules O2 blank 1 mol O2 blank 14. Avogadro's Number How many moles are in 9.2x1023 atoms on Sn?To make an exponent, highlight the number and a menu will pop up. Click on x2 to make it an exponent. 9.2x1023 atoms Sn 1 mol Sn 1.53 mol Sn 6.02x1023 atoms Sn