Concept explainers
a.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
b.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
c.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
d.
To determine:
The number that is reduced to three significant figures from the given number.
Introduction:
The number of digits corresponding to a given number that represent the required degree of accuracy are known as significant digits.
There are few rules that is to be followed to anaylize the digit is significant or not.
Rules for rounding off the numbers are,
- 1. Last digit becomes zero if it is less than five.
- 2. The second last digit is raised by 1 if the last digit is greater than five.
- 3. If the last digit is 5 and the second last digit is even then, the last digit becomes zero and the second last digit remains the same.
- 4. If the last digit is 5 and the second last digit is odd then, the last digit becomes zero and the second last digit is raised by one.
The rules for counting significant figures are,
- All non-zero numbers are significant.
- The zeros occurring between two significant figures are significant.
- The trailing zeros, present in a decimal value, are the only significant ones.
- The exponential values are not significant.
- The number that has the least number of significant figures determines the significant figures for the answer.
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Check out a sample textbook solutionChapter 1 Solutions
General, Organic, and Biological Chemistry (3rd Edition)
- Which of the following numbers have four significant figures? A. 12045 B. 5500 C. 5500. D. 0.010210arrow_forwardHow many significant figures are in each number?a. 0.1111 s b. 0.007 m c. 108,700 kmd. 1.563300 * 1011 m e. 30,800arrow_forwardHow many significant figures are represented in each of the following numbers? a. 3.8 x 10-3 b. 5.20 x 10² c. 0.00261 d. 24 e. 240 f. 2.40arrow_forward
- How many significant figures are represented in each ofthe following numbers?a. 10.0 d. 2.062b. 0.214 e. 10.50c. 0.120 f. 1050arrow_forwardDetermine the number of significant figures in each measurement.a. 340,438 g e. 1.040 sb. 87,000 ms f. 0.0483 mc. 4080 kg g. 0.2080 mLd. 961,083,110 m h. 0.0000481 garrow_forward4. Show the answers with appropriate number of significant figures. 39.9 а. 6.022 x1023 b. 0.0021 g + 34.56 g-0.765 garrow_forward
- Write the following in three significant figures.a. 0.0030850 km c. 5808 mLb. 3.0823 g d. 34.654 mgarrow_forwardChoose the answer with the correct number of significant figures. An unknown sample of 790.0grams has a volume of 900.0mls. (Density = grams/ml) a. 9 b. 0.87 c. 0.877 d.0.8778arrow_forwardRound each of the following numbers to two significant figures.a. 6.2262 b. 3895 c. 6.885 d. 2.2247 e. 0.0004109arrow_forward
- Conversions: include the correct number of significant digits and follow the format included in the image. a. 0.20 m to mm b. 2.23 ks to s c. 78.9 mg to garrow_forwardConvert the following measurements.a. 5.70 g to milligrams d. 45.3 mm to metersb. 4.37 cm to meters e. 10 m to centimetersc. 783 kg to grams f. 37.5 g/mL to kg/Larrow_forwardComplete the following conversions between SI units. A. 612 g=___mg B. 8.160 m=___cm C. 3779 ug= ___g D. 781 mL =___L E. 4.18 kg=___garrow_forward
- World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage Learning