Chapter 5.2, Problem 4RQ

(a)

Interpretation Introduction

Interpretation:The number of significant figures in 121 needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{121=}\text{3}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{121}$ . Here, all the digits are non-zeros thus, all of them are significant. Hence, the significant figure for $\text{121}$ is $\text{3}$ .

(b)

Interpretation Introduction

Interpretation: The number of significant figures in 0.409 needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{0}\text{.409=3}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is 0.409. Here, 2 digits are non-zeros and 1 is zero which is between two non-zero digits thus, the number of significant figure is 3. =

(c)

Interpretation Introduction

Interpretation:The number of significant figures in 27010 needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{27,010=4}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{27,010}$ .

There are 3 non-zero digits and 2 zeroes. 1 is trailing zero and 1 zero is between two non-zeros. Thus, the trailing zero is not significant. Thus, number of significant figures in given number is 4.

(d)

Interpretation Introduction

Interpretation: The number of significant figures needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{0}\text{.00586=3}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{0}\text{.00586}$ .

There are 2 zeros which are not trailing zeros Also, there are 3 non-zero digits.

Significant figure for $\text{0}\text{.00586}$ = $\text{3}$ .

(e)

Interpretation Introduction

Interpretation: The number of significant figures in 9740 needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{9740=3}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{9740}$ .

When zero is present right to the non-zero number and if no decimal is present, it is not significant,

Thus, only three non-zeroes digits are significant.

Significant figure for $\text{9740}$ = $\text{3}$ .

(f)

Interpretation Introduction

Interpretation: The number of significant figures needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{14}\text{.2090=6}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{14}\text{.2090}$ .

Here, 4 non-zero digits and 2 zeros are present. The two zeroes are trailing zeroes after decimal thus, total number of significant figures is 6.

(g)

Interpretation Introduction

Interpretation: The number of significant figures in 2002 needs to be determined.

Concept Introduction : Significant figures of a number are termed as digits which contribute to the precision of that number.Any measurement involves an estimate and thus is uncertain to some extent. A reliably identified digit used to find a decimal point is known as significant figure.

Answer to Problem 4RQ

  $\text{2002=4}\text{sig}\text{fig}$

Explanation of Solution

The number of meaningful digits in a calculated quantity is known as significant figures. All non- zero digits are significant and leading zeros are never count as significant but captive zeros are significant.

The given number is $\text{2002}$ . There are 2 non-zeros and 2 zeros. The 2 zeros are between two non-zero digits thus, they are also significant.

Significant figure for $\text{2002}$ = $\text{4}$ .