Chapter 3, Problem 3.4P

(a)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$1.0+2.1+3.4+5.8=12.3000$

Concept Introduction:

Significant Figures:

While reporting a reading of a measurement, the digits that are considered to be significant irrespective of the place of location of decimal point are called significant figures.

All the digits in a measurement except zero are considered significant, whereas zero is considered as significant only when it lies in the middle of the digit or at the end of number on the right-hand side of a decimal point.

(b)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$106.9-31.4=75.5000$

Concept Introduction:

Refer part (a).

(c)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$107.88-(2.113\times {10}^2)+(5.623\times {10}^3)=5519.568$

Concept Introduction:

Refer part (a).

(d)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$(26.14/37.62)\times 4.38=3.043413$

Concept Introduction:

Refer part (a).

(e)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$(26.14/(37.62\times {10}^8))\times (4.38\times {10}^{-2})=3.043413\times {10}^{-10}$

Concept Introduction:

Refer part (a).

(f)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$(26.14/3.38)+4.2=11.9337$

Concept Introduction:

Refer part (a).

(g)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

$\log \text{ (3}\text{.98}\times {\text{10}}^4)\text{ = 4}\text{.599 9}$

Concept Introduction:

Significant Figures:

While reporting a reading of a measurement, the digits that are considered to be significant irrespective of the place of location of decimal point are called significant figures.

All the digits in a measurement except zero are considered significant, whereas zero is considered as significant only when it lies in the middle of the digit or at the end of number on the right-hand side of a decimal point.

Logarithms and Antilogarithms:

For logarithms,

$\text{Number of digits in matissa of log }x\text{ = number of significant figure in }x$

For antilogarithms,

$\text{Number of digits in antilog }x{\text{ (=10}}^x)=\text{number of significant figures in mantissa of }x$

(h)

Interpretation Introduction

Interpretation:

The answer for the given problem has to be written with correct number of significant figures.

${10}^{-6.31}\text{ = 4}\text{.89779}\times {\text{10}}^{-7}$

Concept Introduction:

Refer part (g).