(a) Interpretation: The given ordinary number is to be expressed in scientific notation. Concept introduction: The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits. In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Question

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Answer 1

Question

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

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Answer 2

Question

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

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Answer 3

Question

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

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Answer 4

Question

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

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Answer 5

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Answer 6

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Answer 7

Chapter PSS, Problem 40E

Interpretation Introduction

(a)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Answer 8

Expert Solution

Answer to Problem 40E

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The given number is 1,010,000,000,000,000. The number has total of sixteen digits. The decimal point is placed after the first non-zero significant number which is represented as 1.010000000000000. The total digits after the decimal point are 15. These fifteen digits have 13 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 15 digits, therefore the power of 10 is written as 15. Thus, the number, 1,010,000,000,000,000, can be written as 1.01×1015 in scientific notation.

Answer 13

Conclusion

The given ordinary number, 1,010,000,000,000,000 in scientific notation is represented as 1.01×1015.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Answer 15

Interpretation Introduction

(b)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Answer 16

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Expert Solution

Answer 20

Explanation of Solution

The given number is 0.000 000 000 000 456. The number has total of fifteen digits. The decimal point is placed after the first non-zero significant number which is represented as 0000000000004.56. The total digits before the decimal point are 13. These thirteen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 13 digits, therefore the power of 10 is written as −13. Thus, the number, 0.000 000 000 000 456, can be written as 4.56×10−13 in scientific notation.

Answer 21

Conclusion

The given ordinary number, 0.000 000 000 000 456 in scientific notation is represented as 4.56×10−13.

Answer 22

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Answer 23

Interpretation Introduction

(c)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Answer 24

Expert Solution

Answer to Problem 40E

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Answer 25

Expert Solution

Answer 26

Expert Solution

Answer 27

Expert Solution

Answer 28

Explanation of Solution

The given number is 94,500,000,000,000,000. The number has total of seventeen digits. The decimal point is placed after the first non-zero significant number which is represented as 9.4500000000000000. The total digits after the decimal point are 16. These sixteen digits have 14 zeros as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the left of 16 digits, therefore the power of 10 is written as 16. Thus, the number, 94,500,000,000,000,000, can be written as 9.45×1016 in scientific notation.

Answer 29

Conclusion

The given ordinary number, 94,500,000,000,000,000 in scientific notation is represented as 9.45×1016.

Answer 30

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.

Conclusion

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Answer 31

Interpretation Introduction

(d)

Interpretation:

The given ordinary number is to be expressed in scientific notation.

Concept introduction:

The ordinary numbers are written as the power of 10 in the scientific terms. The power of 10 denotes the position of decimal point in a number. The number as the positive power of 10 shows that the decimal point is present on the right side of the whole number digits. On the other hand, the negative power shows that the decimal point is present on the left side of the whole number digits.

In scientific notation, the non-zero significant numbers are written along with the power of 10 which denotes the position of decimal point.

Answer 32

Expert Solution

Answer to Problem 40E

The given ordinary number, 0.000 000 000 000 000 019 50 in scientific notation is represented as 1.950×10−17.

Answer 33

Expert Solution

Answer 34

Expert Solution

Answer 35

Expert Solution

Answer 36

Explanation of Solution

The given number is 0.000 000 000 000 000 019 50. The number has total of twenty digits. The decimal point is placed after the first non-zero significant number which is represented as 00000000000000001.950. The total digits before the decimal point are 17. These seventeen digits have zero as significant numbers. Thus, these need not to be written in the scientific notation as these are included in the power of 10. The decimal point is placed to the right of 17 digits, therefore the power of 10 is written as −17. Thus, the number, 0.000 000 000 000 000 019 50, can be written as 1.950×10−17 in scientific notation.