Chapter 27, Problem 1A

To determine

(a)

The degree of precision.

Answer to Problem 1A

The degree of precision is $0.001\text{mm}$.

Explanation of Solution

Given information:

The number to calculate the degree of precision is $14.304\text{mm}$.

Draw the diagram to show the degree of precision.

Figure-(I)

The degree of precision of a number depends upon the unit of measurement. Therefore, the degree of precision of number $14.304\text{mm}$ is nearer to the $1000\text{th}$ place of an inch. Hence, the degree of precision of $14.304\text{mm}$ is $0.001\text{mm}$.

Conclusion:

The degree of precision is $0.001\text{mm}$.

To determine

(b)

The value equal to or less than the range of the values.

Answer to Problem 1A

The value equal to or less than the range of the values is $14.3035\text{mm}$.

Explanation of Solution

Write the expression for the value equal to less than the range of the values.

  $L=x-0.0005\text{mm}$   ...........(I)

Here, the number is $x$.

Calculation:

Substitute $14.304\text{mm}$ for $x$ in Equation (I).

  $\begin{array}{c}L=14.304\text{mm}-0.0005\text{mm}\\ =14.3035\text{mm}\end{array}$

Conclusion:

The value equal to or less than the range of the values is $14.3035\text{mm}$.

To determine

(c)

The value greater than the range of the values.

Answer to Problem 1A

The value greater than the range of the values is $14.3045\text{mm}$.

Explanation of Solution

Write the expression for the value greater than the range of the values.

  $U=x+0.0005\text{mm}$   ...........(II)

Here, the number is $x$.

Calculation:

Substitute $14.304\text{mm}$ for $x$ in Equation (II).

  $\begin{array}{c}U=14.304\text{mm}+0.0005\text{mm}\\ =14.3045\text{mm}\end{array}$

Conclusion:

The value greater than the range of the values is $14.3045\text{mm}$.