Which numbers are exact (and therefore have an unlimited number of significant figures)? a. p = 3.14 b. 12 in = 1 ft c. EPA gas mileage rating of 26 miles per gallon d. 1 gross = 144
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 81
Is each number rounded to four significant figures? a. 156.852 b. 156.842 c. 156.849 d. 156.899
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1
Identify the number of significant figures required, which is four in this case.
For each number, locate the first four significant figures starting from the left.
Check the digit immediately after the fourth significant figure to determine if rounding is necessary. If this digit is 5 or greater, round up the fourth significant figure by one.
Apply the rounding rule to each number: a. 156.852, b. 156.842, c. 156.849, d. 156.899.
Verify that each rounded number has exactly four significant figures and adjust if necessary.
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Textbook Question
Which numbers are exact (and therefore have an unlimited number of significant figures)? a. π = 3.14 c. EPA gas mileage rating of 26 miles per gallon d. 1 gross = 144
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Textbook Question
Which numbers are exact (and therefore have an unlimited number of significant figures)? b. 12 in = 1 ft
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Round each number to three significant figures. a. 79,845.82 b. 1.548937×107 c. 2.3499999995 d. 0.000045389
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Calculate to the correct number of significant figures. a. 9.15 ÷ 4.970 b. 1.54 × 0.03060 × 0.69 c. 27.5 × 1.82 ÷ 100.04 d. (2.290 × 106) ÷ (6.7 × 104)
Textbook Question
Calculate to the correct number of significant figures. a. 89.3 × 77.0 × 0.08
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