Concept explainers
(a)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 2 imply two digits are present after decimal.
Explanation of Solution
The given number is
(b)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will move eleven places to the right and the exponent of the power of 10 is negative that is -11.
Explanation of Solution
The given number is
(c)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 3 imply three digits are present after decimal.
Explanation of Solution
The given number is
(d)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will move five places to the right and the exponent of the power of 10 is negative that is -5.
Explanation of Solution
The given number is
(e)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will placed after first digit and the exponent of the power of 10 is positive that is + 5 imply five digits are present after decimal.
Explanation of Solution
The given number is
(f)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The exponent of the power of 10 is zero.
Explanation of Solution
The given number is
(g)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will move one place to the right and the exponent of the power of 10 is negative that is -1.
Explanation of Solution
The given number is
(h)
Interpretation:
The number of places does decimal have to be moved to express the number in standard scientific notation should be determined along with identify whether the exponent of the power of 10 is positive or negative.
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.
Answer to Problem 116AP
The decimal will move seven places to the right and the exponent of the power of 10 is negative that is -7.
Explanation of Solution
The given number is
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Chapter 2 Solutions
Student Solutions Manual For Zumdahl/decoste's Introductory Chemistry: A Foundation, 8th Edition
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- For each of the following numbers, if the number is rewritten in scientific flotation, will the exponent of the power of 10 be positive, negative, or zero? 1/103 0.00045 52,550 7.21 1/3arrow_forwardWill the power of 10 have apositiveor anegativeexponent when each of the following numbers is rewritten in standard scientific notation? 42,751 1253 0.002045 0.1089arrow_forwardWithout actually performing the calculations indicated,tell to how many significant digits the answer to the calculation should be expressed. (0.1 96)(0.08215)(295)/(1.1) (4.2 15 + 3.991 + 2.442)/(0.22) (7.881)(4.224) (0.00033)/(2.997) (6.2 19 + 2.03)/(3.1159)arrow_forward
- Determine whether each statement that follows is true or false: a The SI system includes metric units. b If two quantities are expressed in an equivalency, they are directly proportional to each other. c The scientific notation form of a number smaller than 1 has a positive exponent. d In changing a number in scientific notation whose coefficient is not between 1 and 10 to standard scientific notation, the exponent becomes smaller if the decimal in the coefficient is moved to the right. e There are 1000 kilounits in a unit. f There are 10 milliunits in a centiunit g There are 1000 milliliters in a cubic centimeter. h The mass of an object is independent of its location in the universe. i Celsius degrees are smaller than Fahrenheit degrees. j The uncertain digit is the last digit written when a number is expressed properly in significant figures. k The quantity 76.2 g means the same as 76.200 g. l The number of significant figures in a sum may be more than the number of significant figures in any of the quantities added. m The number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted. n The number of significant figures in a product may be more than the number of significant figures in any of the quantities multiplied. o The process of analysis of a problem statement includes describing the properties of the given and wanted quantities. p If the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable. q Conversion factors can be used to change from one unit to another only when the quantities are directly proportional. r When you are learning chemistry, you should check the solution to each problem you solve at two levels: 1 is the value reasonable? 2 what new knowledge or skill did I obtain or improve? s There is no advantage to using units in a problem that is solved by algebra. t A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor.arrow_forwardFor each of the following numbers, will the exponent be positive, negative, or zero when the number is expressed in scientific notation? a. 50.031 b. 650,010 c. 0.1030 d. 735arrow_forwardThe astronomical unit equals the mean distance between the earth and the sun. This distance is 150,000,000 km, which is precise to three significant figures. Express this in scientific notation to the correct number of significant figures.arrow_forward
- Perform the following mathematical operations, and express the result to the correct number of significant figures. a. 6.022 X 10-23 1.05 x 102 b. 6.626210342.9981082.54109 c. 1.285 102 + 1.24 103 + 1.879 101 d. (1.00866-1.00728)6.022051023 e. 9.8751029.7951029.875102100(100isexact) f. 9.42102+8.234102+1.6251033(3isexact)arrow_forwardBy how many places must the decimal point be moved, and in which direction, to convert each of the following to standard scientific notation? a. 5993 d. 62.357 b. 72.14 e. 0.01014 c. 0.00008291 f. 324.9arrow_forwardWithout actually solving, indicate the number of significant figures that should be present in the answers to the following multiplication and division problems. a. 3.00 0.0003 30.00 b. 0.3 0.30 3.0 c. 6.0033,000 d. 6.000003arrow_forward
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