(a) Interpretation: The given nonsignificant digits are rounded off to three significant digits. Concept introduction: In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Question

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Answer 1

Question

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

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Answer 2

Question

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

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Answer 3

Question

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

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Answer 4

Question

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

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Answer 5

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

Answer 6

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Answer 7

Chapter PSS, Problem 20E

Interpretation Introduction

(a)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Answer 8

Expert Solution

Answer to Problem 20E

The three significant digits for 1.454×101 is 1.45×101.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Explanation:

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.454×101. In the given digits, the number four is dropped. Therefore, the three significant digits for 1.454×101 is 1.45×101.

Answer 13

Conclusion

The three significant digits for 1.454×101 is 1.45×101.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Answer 15

Interpretation Introduction

(b)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Answer 16

Expert Solution

Answer to Problem 20E

The three significant digits for 1.455×102 is 1.46×102.

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Expert Solution

Answer 20

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.455×102. In the given digits, the number 1.455 is rounded to 1.46. Therefore, the three significant digits for 1.455×102 is 1.46×102.

Answer 21

Conclusion

The three significant digits for 1.455×102 is 1.46×102.

Answer 22

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Answer 23

Interpretation Introduction

(c)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Answer 24

Expert Solution

Answer to Problem 20E

The three significant digits for 1.508×10−3 is 1.51×10−3.

Answer 25

Expert Solution

Answer 26

Expert Solution

Answer 27

Expert Solution

Answer 28

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.508×10−3. In the given digits, the number 1.508 is rounded to 1.51. Therefore, the three significant digits for 1.508×10−3 is 1.51×10−3.

Answer 29

Conclusion

The three significant digits for 1.508×10−3 is 1.51×10−3.

Answer 30

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.

Conclusion

The three significant digits for 1.503×10−4 is 1.50×10−4.

Answer 31

Interpretation Introduction

(d)

Interpretation:

The given nonsignificant digits are rounded off to three significant digits.

Concept introduction:

In a measurement, the significant digits refer to those digits that are known with certainty plus one estimated digit. The digits that are calculated with the help of calculator are nonsignificant digits, which are eliminated by using the process of rounding off.

Answer 32

Expert Solution

Answer to Problem 20E

The three significant digits for 1.503×10−4 is 1.50×10−4.

Answer 33

Expert Solution

Answer 34

Expert Solution

Answer 35

Expert Solution

Answer 36

Explanation of Solution

The process of rounding off has the following rules:

• When the first nonsignificant digit is less than five, then the remaining nonsignificant digits are dropped.

• When the first nonsignificant digit is greater than or equal to five then to the last number, one significant digit is added, and the remaining nonsignificant digits are dropped.

• The odd-even rule is applied when the nonsignificant digit is five or five followed by zeroes, the last significant digit rounding off when it is odd and when it is even then nonsignificant digits are dropped.

The given non-significant digits are 1.503×10−4. In the given digits, the number 1.503 is rounded to 1.50. Therefore, the three significant digits for 1.503×10−4 is 1.50×10−4.