How Many? Conversions Add/Subtract Multiply/Divide Mix It Up! 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Question 1 - 10 • How many significant Digits are in this number: 1422 Answer 1 – 10 • 4! • All numbers present are between 1 and 9. Question 1 - 20 • How many significant digits are in the following number? 200 Answer 1 – 20 • There is only 1! • The zeros don’t count because the number doesn’t have a decimal place in it! Question 1 - 30 • How many significant ZEROs are in the following number? 0.0030050 Answer 1 – 30 • 3! • The captures zeros and the trailing zero are the only ones that are significant! Question 1 - 40 • What is the length of the following green bar? Answer 1 – 40 • 1.25! • The 1 and the 2 are in concrete, the 5 can be a different number that is reasonable. Question 1 - 50 • How many zeros in the following number are NOT significant? .0005050090 Answer 1 – 50 • 3! • Only the zeros in the beginning of the number do not count! Question 2 - 10 • Convert the following: 254.3 grams to Kilograms Answer 2 – 10 • .2543 Kg • The number will get smaller because the unit gets bigger! Question 2 - 20 • How many milliliters are in the following number? 0.0367 Liters Answer 2 – 20 • 36.7 mL • The number gets bigger because the unit gets smaller! Question 2 - 30 • Which weighs more? 4.25 grams of Au or 425 mg of Au Answer 2 – 30 • 4.25 grams does! • Convert milligrams to grams and you get .425 mg! That is less than 4.25 grams! Question 2 - 40 • What is the metric prefix that correspond to the following quantity? -2 10 Answer 2 – 40 • Centi! Question 2 - 50 • How many mL are in the following number? 87 DL Answer 2 – 50 • There are 870,000 mL! • KHD*dcm Question 3 - 10 • What is the answer to the following addition problem? 212.2 + 26.7 + 402.09 Answer 3 – 10 • Addition, so look for least # of decimal places! • 641.0 Question 3 - 20 • What is the answer to the following addition problem? 2 2.01x10 + 3 3.014x10 Answer 3 – 20 • 3215 • You have to take the numbers out of scientific notation to look at decimal places! Question 3 - 30 • What is the answer to the following problem? 52.331 + 26.01 – 0.9981 Answer 3 – 30 • 77.34 • Watch number of decimal places here! Add and subtract carry least number of decimal places to the answer. Question 3 - 40 • How many digits after the decimal point should be reported when the following calculation is performed? 199.0354 + 43.09 + 121.2 Answer 3 – 40 • There should only be 1 decimal place in this answer! Question 3 - 50 • How many digits after the decimal place should be reported when the following calculation is performed? 10,434 – 9.3344 Answer 3 – 50 • There will not be any decimal places in this number! Question 4 - 10 • What is the answer to the following division problem? 12.011 / 23 6.022x10 Answer 4 – 10 • 1.995x10-23 • We need to look at number of significant digits in the numbers of the problem—least number determines answers sig figs! Question 4 - 20 • What is the answer to the following problem? (4.031)(0.082068)(373.1) /.995 Answer 4 – 20 • 124 • Remember least # of sig figs will be reported in the answer! Question 4 - 30 • The answer to the following question should be written with how many significant digits? 2 2.3733x10 / 343 Answer 4 – 30 • 3! Question 4 - 40 • When the following calculation is performed, the answer should be reported with how many significant digits? .0043*.0821*298 Answer 4 – 40 • 2! • Remember least goes! Question 4 - 50 • What is the answer to the following problem? -4 2 (6.1982x10 ) Answer 4 – 50 • 3.8418x10-7 • Or 3.8000x10 -7 Question 5 - 10 • What is the answer to the following problem? (2.0944+.0003233*12.22) /7.001 Answer 5 – 10 • .2997 • Remember your order of operations! • Please Excuse My Dear Aunt Sally! Question 5 - 20 • What is the answer to the following problem? 2 3 [(1.42x10 )+(1.021x10 )]/ -1 3.1x10 Answer 5 – 20 • 3.8x103 Question 5 - 30 • Consider the following numbers 23.68 and 4.12. • The sum of these numbers has how any significant digits? • The product of these numbers has how many significant digits? Answer 5 – 30 • Sum has 4 • Product has 3 Question 5 - 40 • You pour the water from these beakers into a separate container. What is the volume with the correct number of significant digits. Answer 5 – 40 • Your answer should range from 81 to 82 mL without any decimals! Question 5 - 50 • Report the volume of the water in each beaker with the proper # of significant digits. Answer 5 – 50 • I has 26.4(ish) mL • II has 28(ish) mL • III has 26.42(ish) mL • The –ish comes from your interpretation. Remember the first digits are known and the last digit is an educated guess (is it uncertain).