Chapter 2, Problem 78A

(a)

To determine

To Find: The number of significant digits.

Answer to Problem 78A

Significant numbers $=4$

Explanation of Solution

Introduction:

In the observation of the quantity, the digits that are accurately measured and the first doubtful digits are known as the significant digits.

Significant figures do not change even if physical quantities are measured in different units.

Rules for significant figures are given below:

1. All the digits which are not-zero digits are significant.
2. Zeroes between two digits whichare not zero are significant.
3. Zeroes which are to the right of digits which are not zero are not significant figures.
4. Zeroes to the left of a non-zero digit and to the right of a decimal point are not significant.
5. Zeroes to the right of a non-zero-digit decimal point are significant.

In the given observation $3218\text{kg}$

Significant numbers are $4$

Conclusion:

There are $4$ significant numbers in $3218\text{kg}$ .

(b)

To determine

Answer to Problem 78A

Significant numbers $=5$

Explanation of Solution

Introduction:

In the observation of the quantity, the digits that are accurately measured and the first doubtful digits are known as the significant digits.

Significant figures do not change even if physical quantities are measured in different units.

Rules for significant figures are given below:

1. All the digits which are not-zero digits are significant.
2. Zeroes between two digits which are not zero are significant.
3. Zeroes which are to the right of digits which are not zero are not significant figures.
4. Zeroes to the left of a non-zero digit and to the right of a decimal point are not significant.
5. Zeroes to the right of a non-zero-digit decimal point are significant.

In the given measurement $60.080\text{kg}$

Significant numbers are $5$

Conclusion:

There are $5$ significant numbers in $60.080\text{kg}$ .

(c)

To determine

Answer to Problem 78A

Significant numbers $=3$

Explanation of Solution

Introduction:

In the observation of the quantity, the digits that are accurately measured and the first doubtful digits are known as the significant digits.

Significant figures do not change even if physical quantities are measured in different units.

Rules for significant figures are given below:

1. All the digits which are not-zero digits are significant.
2. Zeroes between two digits which are not zero are significant.
3. Zeroes which are to the right of digits which are not zero are not significant figures.
4. Zeroes to the left of a non-zero digit and to the right of a decimal point are not significant.
5. Zeroes to the right of a non-zero-digit decimal point are significant.

In the given measurement $801\text{kg}$

Significant numbers are $3$

Conclusion:

There are $3$ significant numbers in $801\text{kg}$ .

(d)

To determine

Answer to Problem 78A

Significant numbers $=3$

Explanation of Solution

Introduction:

In the observation of the quantity, the digits that are accurately measured and the first doubtful digits are known as the significant digits.

Significant figures do not change even if physical quantities are measured in different units.

Rules for significant figures are given below:

1. All the digits which are not-zero digits are significant.
2. Zeroes between two digits which are not zero are significant.
3. Zeroes which are to the right of digits which are not zero are not significant figures.
4. Zeroes to the left of a non-zero digit and to the right of a decimal point are not significant.
5. Zeroes to the right of a non-zero-digit decimal point are significant.

In the given measurement $0.000534\text{kg}$

Significant numbers are $3$

Conclusion:

There are $3$ significant numbers in $0.000534\text{kg}$ .