Chapter 5, Problem 110A

a.

To determine

Addition of expression with correct significant numbers.

Answer to Problem 110A

Addition of the given expression with correct significant figure is $\text{63}\text{.0 g}$ .

Explanation of Solution

Given :

Expression is given as,

  $85.26\text{ g +4}\text{.7 g}$

Formula used :

When two numbers are added then number of significant in their addition is equal maximum number of significant figure in the given expression.

Calculation:

In the given expression maximum significant is 3.

Therefore, in addition of the expression maximum significant figure will be3.

  $\begin{array}{l}85.26\text{ g +4}\text{.7 g}\\ \text{=90}\text{.0 g}\end{array}$

b.

To determine

Addition of expression with correct significant numbers.

Answer to Problem 110A

Addition of the given expression with correct significant figure is 1.678 km.

Explanation of Solution

Given :

Expression is given as ;

  $1.07\text{ km +0}\text{.608 km}$

Formula used :

When two numbers are added then number of significant in their addition is equal maximum number of significant figure in the given expression.

Calculation:

In the given expression maximum significant is 4.

Therefore, in addition of the expression maximum significant figure will be 4.

  $\begin{array}{l}1.07\text{ km +0}\text{.608 km}\\ \text{=1}\text{.678 km}\end{array}$

c.

To determine

Subtraction of expression with correct significant numbers.

Answer to Problem 110A

Subtraction of the given expression with correct significant figure is 128.57 kg.

Explanation of Solution

Given :

Expression is given as

  $186.4\text{ kg - 57}\text{.83 kg}$

Formula used :

When two numbers are subtracted then number of significant in their subtraction is equal maximum number of significant figure in the given expression.

Calculation :

In the given expression maximum significant is 4.

Therefore, in subtraction of the expression maximum significant figure will be 4.

  $186.4\text{ kg}-\text{57}\text{.83 kg}=\text{128}\text{.57 kg}$

d.

To determine

Multiplication of expression with correct significant numbers.

Answer to Problem 110A

Multiplication of the given expression with correct significant figure is 12.3 N.

Explanation of Solution

Given :

Expression is given as,

  $\left(1.26\text{ kg}\right)\left(9.8\text{ N/kg}\right)$

Formula used :

When two numbers are multiplied then number of significant in their multiplication is equal maximum number of significant figure in the given expression.

Calculation:

In the given expression maximum significant is 3.

Therefore, in multiplication of the expression maximum significant figure will be 3.

  $\left(1.26\text{ kg}\right)\left(9.8\text{ N/kg}\right)=12.3\text{ N}$

e.

To determine

Division of expression with correct significant numbers.

Answer to Problem 110A

Division of the given expression with correct significant figure is $2.2\text{ m/s}$ .

Explanation of Solution

Given :

Expression is given as

  $\frac{10\text{ m}}{4.5\text{ s}}$

Formula used :

When two numbers are divided then number of significant in their division is equal maximum number of significant figure in the given expression.

Calculation:

In the given expression maximum significant is 2.

Therefore, in division of the expression maximum significant figure will be 2.

  $\frac{10\text{ m}}{4.5\text{ s}}=2.2\text{ m/s}$