(a)
Interpretation: The fixed notation and correct number of significant figure has to be expressed.
Concept introduction:
Scientific notation expression: A number is expressed as the product of two numbers:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
(b)
Interpretation: The fixed notation and correct number of significant figure has to be expressed.
Concept introduction:
Scientific notation expression: A number is expressed as the product of two numbers:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
(c)
Interpretation: The fixed notation and correct number of significant figure has to be expressed.
Concept introduction:
Scientific notation expression: A number is expressed as the product of two numbers:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
(d)
Interpretation: The fixed notation and correct number of significant figure has to be expressed.
Concept introduction:
Scientific notation expression: A number is expressed as the product of two numbers:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
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Chemistry & Chemical Reactivity
- For each of the following numbers, determine the number ofsignificant figures it contains, rewrite it without using scientific notation, and determine thenumber of significant figures in the result. (a) 3.050 × 10–4 , (b) 4.3200 × 102 , (c) 8.001 × 10–7, (d) 2.006080 × 105 , (e) 1.503 × 10–5 , (f) 6.07510 × 104arrow_forwardCarry out the following conversions: (a) 1.42 lightyears to miles (a light-year is an astronomical measure of distance—the distance traveled by light in a year, or 365 days; the speed of light is 3.00x10^8 m/s), (b) 32.4 yd to centimeters, (c) 3.0 3x10^10 cm/s to ft/s.arrow_forwardHow many significant figures are there in each of the following?(a) 81.0 ± 0.8 (b) 3.827 ✕ 109 (c) 2.94 ✕ 10−6 (d) 0.0015arrow_forward
- How many significant figures are there in each of the following? (a) 61.8 ± 0.1 (b) 3.407 x 10⁹ (c) 2.0400 x 10-6 (d) 0.0040 Need Help? Read Itarrow_forwardLight travels in a vacuum at a speed of 3.00 × 108 m s-1 .(a) Convert this speed to miles per second.(b) Express this speed in furlongs per fortnight, a littleused unit of speed. (A furlong, a distance used in horse racing, is 660 ft; a fortnight is exactly 2 weeks.)arrow_forwardPerform the following arithmetic operations, and report the result to the proper number of significantfigures: (a) 1.0267 cm × 2.508 cm × 12.599 cm, (b) 15.0 kg ÷ 0.036 m3 , (c) 1.113 × 1010 kg − 1.050 × 109 kg, (d) 25.75 mL + 15.00 mL, (e) 46 cm3 + 180.5 cm3arrow_forward
- A group of students took turns using a laboratory balanceto weigh the water contained in a beaker. The results theyreported were 111.42 g, 111.67 g, 111.21 g, 135.64 g,111.02 g, 111.29 g, and 111.42 g.(a) Should any of the data be excluded before the average is calculated?(b) From the remaining measurements, calculate the average value of the mass of the water in the beaker.(c) Calculate the standard deviation s and, from it, the 95% confidence limit.arrow_forwardPerform the following arithmetic operations and report the result to the proper number of significant figures: (a) 317.5 mL + 0.675 mL,(b) 47.80 L − 2.075 L, (c) 13.5 g ÷ 45.18 L, (d) 6.25 cm × 1.175 cm, (e) 5.46 × 102 g + 4.991 × 103g.arrow_forwardCalculate these masses.(a) What is the mass of 6.00 cm 3 of sodium, density = 0.97 g/cm 3 ?(b) What is the mass of 155 mL gaseous chlorine, density = 3.16 g/L?arrow_forward
- The world’s oceans have a combined volume of 3.204 x 10^8 miles^3. (A) If the average density of ocean water is 1.029 g/mL, what is the combined mass of the world’s oceans?arrow_forwardPrecious metals and gems are measured in Troy weights in the English system. Use the unit relationship given below to perform the requested calculations (A) what is the mass of 1.0 Troy ounces in grams? (B) The density of gold is 19.3g/cm^3. What is the volume of 12.5 carats of gold in mL? (C) a thief steals 531 pennyweights of silver. How many moles is that? (D) A wedding ring contains 2.56 x 10^22 atoms of diamond. How much are the diamonds in the ring worth if a 1-carat diamond costs $7600.0 ?arrow_forwardCalculate these masses.(a) What is the mass of 6.00 cm3 of mercury, density = 13.5939 g/cm3?(b) What is the mass of 25.0 mL octane, density = 0.702 g/cm3?arrow_forward
- Chemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning