Scientific Notation. Sig. Figs. Estimation Density. Unit cancelation

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1 Unit cancelation Sig. Figs. Scientific Notation Estimation Density

2 When doing unit conversions, this is how you express the first term in the calculation.

3 When doing unit conversions, this is how you express the first term in the calculation. What is as a fraction (put it over 1, if it is not already a fraction)

4 If there are meters in 1 fathom (fath), how many cubic meters are in 1 cubic fathom?

5 If there are meters in 1 fathom (fath), how many cubic meters are in 1 cubic fathom? What is m 3 = 1 fath 3 (1 cubic fathom is 1 fath x 1 fath x 1 fath, which is the same as m x m x m = m 3 )

6 When setting up unit cancelation, this is the term that should always come first.

7 When setting up unit cancelation, this is the term that should always come first. What is the value you re trying to find the equivalent form of (or the unit you re trying to find how many of your desired, ending units fit into)

8 This is how many inches are in m. (1 in. = 2.54 cm exactly)

9 This is how many inches are in m. (1 in. = 2.54 cm exactly) m cm 1 m 1 in 2.54 cm = 1, in = 1,980. in (4 sig figs)

10 Given the density of gold is g/cm 3, this is the volume of gold in liters for a 1.43 kg brick of gold.

11 Given the density of gold is g/cm 3, this is the volume of gold in liters for a 1.43 kg brick of gold kg 1,000 g 1 1 kg 1 cm g 1 ml 1 cm 3 1 L 1,000 ml = L = L (3 sig. fig.)

12 This is the number of significant figures in the measurement 1,450,000 miles

13 This is the number of significant figures in the measurement 1,450,000 miles What is 3 significant figures?

14 This is how exact values (like counted values) affect the reliability of the final answer.

15 This is how exact values (like counted values) affect the reliability of the final answer. What is exact values do not affect the reliability of the final answer (there is no estimation)?

16 This is the rule for finding significant figures in an answer involving multiplication and division.

17 This is the rule for finding significant figures in an answer involving multiplication and division. What is the answer must have the same number of significant digits as the number used in the calculations with the fewest number of sig. figs.?

18 This is the rule for displaying an answer involving addition/subtraction.

19 This is the rule for displaying an answer involving addition/subtraction. What is the answer should be displaced with the same number of decimal places as the value with the fewest decimal places?

20 When graduated cylinder has 14.7 ml of water in it, and a g sample is submerged, raising the reading to 18.2 ml, this is the density of the sample to the correct number of significant figures.

21 When graduated cylinder has 14.7 ml of water in it, and a g sample is submerged, raising the reading to 18.2 ml, this is the density of the sample to the correct number of significant figures. What is 5.0 g/ml? 18.2 ml 14.7 ml = 3.5 ml 17.47g/3.5mL = g/ml = 5.0 g/ml (2 sig figures)

22 In proper scientific notation, this is where the decimal point always goes.

23 In proper scientific notation, this is where the decimal point always goes. What is after the first non-zero number (so the magnitude of the coeff. is greater than or equal to 1 but less than 10)?

24 This is what the exponent in scientific notation REALLY tells us (not a memory trick).

25 This is what the exponent in scientific notation REALLY tells us (not a memory trick). What is how many times to multiply (+ exponents) or divide (- exponents) by 10?

26 This is the expanded value of 4.301x10-6.

27 This is the expanded value of 4.301x10-6 What is ?

28 These are common buttons on a calculator you press to access scientific notation.

29 These are common buttons on a calculator you press to access scientific notation What are: EE, exp, x10?

30 These are the lowest and highest numbers on the number line from the list below. 3.4x x x x x x x x x x x x10 0

31 Note: -8.2x10-20 is a negative value very close to 0 ( ) so -1.0x10 6 (-1,000,000) is much lower These are the lowest and highest numbers on the number line from the list below. 3.4x x x x x x x x x x x x10 0 What are -1.0x10 6 is the lowest (the value that is the most negative, or the negative value with the largest magnitude) and 6.1x10 7 is the largest

32 This is the rule for estimation on an analog measuring device.

33 This is the rule for estimation on an analog measuring device. What is estimate to the nearest 1/10 th of the smallest division shown on the device.

34 When a measurement is shown as 250. m, this is what we can assume was the smallest unit shown on the device.

35 When a measurement is shown as 250. m, this is what we can assume was the smallest unit shown on the device. What is 10m? (We are certain of the hundreds and the tens, but the ones place was estimated, and 1m is 1/10 th of 10m).

36 This is what would be the most precise measurement we could make for the following: cm

37 This is what would be the most precise measurement we could make for the following: cm What is 7.8 cm

38 This is what you would expect to get for the approximate answer to 2.4x x10-7 in scientific notation, without a calculator)

39 This is what you would expect to get for the approximate answer to 2.4x x10-7 (Without a calculator) What is 1.8x10-2? Round 2.4 to 2 and 8.9 to 9 to estimate: 2x10 4 9x10-7 do the operation on the bases: 2x9 = 18 combine the exponents 10 4 x10-7 is multiplying by 10 4 times and dividing by 10 7 times, leaving 3 divides by 10 or x10-3 is not in proper scientific notation. We divide the base by 10 to get 1.8, and thus must multiply the exponent by 10 to compensate, 10-3 x10 1 is 10-2, so we now have the number divided by 10 3 times and multiplied by 10 once, so we end up with 2 divides by 10 or 10-2

40 This is what you would expect to get for the approximate answer to 2.7x x10-5 in scientific notation, without a calculator)

41 This is what you would expect to get for the approximate answer to 2.7x x10-5 in scientific notation, without a calculator) What is 5x10 8? Round off the bases to 3 and 6. Do the operation on the bases 3/6 = 0.5. We still have x10 4 and Since division is the same as multiplying by the reciprocal, 10-5 = x 10 5 (10-5 means divide by 10 5 times, or, so the reciprocal is = , just the opposite exponent sign). So now we have 0.5x10 4 x10 5, that tells us to multiply by 10 4 times and then multiply by 10 another 5 times, or 9 times total, or 0.5x10 9. This isn t in proper scientific notation, so we must multiply the 0.5 by 10 to get the decimal in the right place. That means we must divide the exponent part by 10 to compensate. So we end up with 5x10 9 x10-1, this says multiply by 10 9 times and then divide by 10 1 time, so that leaves 8 multiplications of 10 or 5x10 8 1

42 These are the standard units for density in the metric system.

43 These are the standard units for density in the metric system. What are g ml or g cm 3?

44 This is the volume (in ml) of a gram block of aluminum. (Density of aluminum=2.70g/ml)

45 This is the volume (in ml) of a gram block of aluminum. (Density of aluminum=2.70g/ml) g 1 What is 2220 ml? 1 ml 2.70 g = 2, ml 2,220 ml

46 This is what Archimedes Principle tells us.

47 This is what Archimedes Principle tells us. The buoyant force upwards on an object is equal in magnitude to the weight of the fluid displaced by the object.

48 You see a column of liquids like to the left, 0.93g/ml 1.00g/ml 1.26g/ml 1.38g/ml which have densities as shown. This is what you can conclude about the blue object floating inside.

49 You see a column of liquids like to the left, which have densities as shown. This is what you can conclude about the blue object floating inside. 0.93g/ml 1.00g/ml 1.26g/ml 1.38g/ml What is the blue object has a density greater than 1.26 g/ml but less than 1.38 g/ml (sank through 1.26 g/ml but floats on 1.38 g/ml, and objects float on fluids that are more dense than the object)

50 Given a submarine s volume remains constant. This is what the submarine must do to surface.

51 Given a submarine s volume remains constant. This is what the submarine must do to surface. To surface (AKA float), the density of the submarine must become less than the density of the surrounding water. Hence, the submarine expels water from its ballast tanks to decrease the submarine s total mass to less than the mass of water displaced by the submarine s volume.

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