(a)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
(b)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
(c)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
(d)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
(e)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
(f)
Interpretation:
The given number should be converted into standard scientific notation.
Concept Introduction:
Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.
For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.
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Chapter 2 Solutions
Introductory Chemistry: A Foundation
- Express the sum of the following equation to the correct amount of significant figures. 16 + 789.036 + 83.87 = ??arrow_forwardAssuming all of the numbers are measured quantities, perform the following arithmetic setups and give the answer to correct number of significant figures. 9.750 – 9.015 a. 1.811 9.345 + 3.005 b. 8.811 с. (7.50 + 8.53) х 7.71 d. 0.81 × 0.86 + 12.36arrow_forwardA garage manager must determine the number of metal ball bearings (BBs) in a stock container by mass measurements. He counts out 5 BBs and finds their total mass to be 1.9 g. He also finds the total mass of the stock container and the BBs to be 239.3 g and the mass of an identical, empty stock container to be 115.8 g. The store manager then uses his data to calculate the number of BBs in the stock container: Average mass of one BB = 1.9/5 = 0.4 g Mass of BBs in container = 239.3 g - 115.8 g = 123.50 g Number of BBs in container = 123.50/0.4 g= 300 BBs (a) Evaluate the manager’s calculations with regard to significant digits. If necessary, rewrite any steps, recalculating with the adjusted quantities. For any step that you have to rewrite, explain why the manager’s calculation is in error. (b) Should the manager regard the answer to the calculation in (a) as a perfect measure of the number of ball bearings in the container? (c) How could the manager have changed his procedure to…arrow_forward
- What is the difference between the terms kilo unit and kilo gram?arrow_forwardPerform the following mathematical operations, and express the result to the correct number of significant figures. a. 2.5263.1+0.4700.623+80.7050.4326 b. (6.404 2.91)/(18.7 - 17.1) c. 6.071 105 - 8.2 106 - 0.521 104 d. (3.8 1012 + 4.0 1013)/(4 1012 + 6.3 10l3) e. 9.5+4.1+2.8+3.1754 (Assume that this operation is taking the average of four numbers. Thus 4 in the denominator is exact.) f. 8.9258.9058.925100 (This type of calculation is done many times in calculating a percentage error. Assume that this example is such a calculation; thus 100 can be considered to be an exact number.)arrow_forwardTo determine the average mass of a popcorn kernel, you collect the following data: Plot the data with number of kernels on the x-axis and mass on the y-axis. Draw the best straight line using the points on the graph (or do a least- squares or linear regression analysis using a computer program), and then write the equation for the resulting straight line. What is the slope of the line? What does the slope of the line signify about the mass of a popcorn kernel? What is the mass of 20 popcorn kernels? How many kernels are there in a handful of popcorn with a mass of 20.88 g?arrow_forward
- When a marble is dropped into a beaker of water, it sinks to the bottom. Which of the following is the best explanation? The surface area of the marble is not large enough for the marble to be held up by the surface tension of the water. The mass of the marble is greater than that of the water. The marble weighs more than an equivalent volume of the water. The force from dropping the marble breaks the surface tension of the water. The marble has greater mass and volume than the water. Explain each choice. That is, for choices you did not pick, explain why you feel they are wrong, and justify the choice you did pick.arrow_forwardAn American tourist in Mexico was startled to see 259 on a menu as the price for a meal. However, that dollar sign refers to Mexican pesos, which on that day had an average rate of 13 pesos per American dollar. How much did the tourist pay for the meal in American funds?arrow_forwardIn the following diagram, the different colored spheres represent atoms of different elements. Four changes, denoted by the four numbered arrows, are shown. Select the change, by listing the arrow number, that represents each of the listed situations. (Note that there may be more than one correct answer for a given situation and that answers may be used more than once or not at all.) a. Which change(s) is a (are) physical change(s)? b. Which change(s) is a (are) change(s) in which two elements combine to form a compound?arrow_forward
- Please answer question number 1 correctly with the correct answer. there is a picture of an example of a ''Dimensional analysis Format' below. please write out all work showing the math in dimensional analysis format. Question 4: How many moles is 3.52 x 10^24 molecular water?arrow_forwardA student used weighing by difference and recorded the following results. Mass of boat/g Mass of boat and solid/g mass of emptied boat/g 0.1248 0.2643 0.1261 The mass/g of solid weighed is which one of the following? O 0.1261 O 0.1248 0.1395 O 0.1382 O 0.2643arrow_forwardpart A: Sort the following numbers according to whether they should be rounded up or down when rounding to the nearest tenth (the first digit after the decimal). 3.1760, 4.319, 19.47, 5.82, 66.9214, 8878.2010, 7.084, 124.76 part B: Drag the answers that have been correctly rounded to the appropriate number of significant figures to their place in the table. To avoid rounding errors, start with the unrounded value before conducting each manipulation. Drag the appropriate labels to their respective targets. View Available Hint(s)for Part B Reset Help 14.93 Group 3 14.93 12 Group 1 12 14.92 Group 3 14.92 3.62 Group 4 3.62 14 Group 3 14 3.7 Group 4 3.7 15 Group 3 15 3.6 Group 4 3.6 15.0 Group 3 15.0 3.63 Group 4 3.63 14.9 Group 3 14.9 3.623 Group 4 3.623 12.47 Group 1 12.47 7.97 Group 2 7.97 12.46 Group 1 12.46 7.966 Group 2 7.966 12.4 Group 1 12.4 7.0 Group 2 7.0 13 Group 1 13 7.96 Group 2 7.96 12.5 Group 1 12.5 8.0 Group 2 8.0 3.622 Group 1…arrow_forward
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