Chapter 1.6, Problem 1P

Round off the following numbers to three significant figures: (a) 58 342 m, (b) 68.534 s, (c) 2553 N, and (d) 7555 kg.

To determine

To Round off:

The number 58342 m to three significant figures.

Answer to Problem 1P

The round off for number 58342 m to three significant figure is $\underset{\_}{58.3\text{km}}$.

Explanation of Solution

Given:

The given value is $\text{58342}\text{m}$.

Explanation:

A significant figure is defined as a method that is used to indicate an uncertainty in experimental or calculated values. Significant figures are the vital digits that are identified with certainty. Certainty is indicated first in a number followed by uncertainty.

For example: If a result is 12.3 m, 12 is certain and 3 is uncertain.

Round off the number to three significant figures.

$\text{58342}\text{m}$

Write the three significant figures formula.

$\text{m}={10}^{-3}\text{km}$

Conclusion:

Round off the number 58342 m to three significant figures.

$\begin{array}{c}\text{58342}\text{m}=58342\text{m}\times {10}^{-3}\frac{\text{km}}{\text{m}}\\ =58.3\text{km}\end{array}$

Thus, the round off for number 58342 m to three significant figures is $\underset{\_}{58.3\text{km}}$.

To determine

To Round off:

The number 68.534 s to three significant figures.

Answer to Problem 1P

The round off for number 68.534 s to three significant figure is $\underset{\_}{68.5\text{s}}$.

Explanation of Solution

Given:

The given value is $68.534\text{s}$.

Explanation:

A significant figure is defined as a method that is used to indicate an uncertainty in experimental or calculated values. Significant figures are the vital digits that are identified with certainty. Certainty is indicated first in a number followed by uncertainty.

For example: If a result is 12.3 m, 12 is certain and 3 is uncertain.

Round off the number to three significant figures.

$68.534\text{s}$

Conclusion:

Round off the number 68.534 s to three significant figures.

$68.534\text{s}=68.5\text{s}$

Thus, the round off for number 68.534 s to three significant figures is $\underset{\_}{68.5\text{s}}$.

To determine

To Round off:

The number 2553 N to three significant figures.

Answer to Problem 1P

The round off for number 2553 N to three significant figure is $\underset{\_}{2.55\text{kN}}$.

Explanation of Solution

Given:

The given value is $2553\text{N}$

Explanation:

A significant figure is defined as a method that is used to indicate an uncertainty in experimental or calculated values. Significant figures are the vital digits that are identified with certainty. Certainty is indicated first in a number followed by uncertainty.

For example: If a result is 12.3 m, 12 is certain and 3 is uncertain.

Round off the number to three significant figures.

$\text{2553}\text{N}$

Write the three significant figures formula.

$\text{N}={10}^{-3}\text{kN}$

Conclusion:

Round off the number 2553 N to three significant figures.

$\begin{array}{c}2553\text{N}=2553\text{N}\times {10}^{-3}\frac{\text{kN}}{\text{N}}\\ =2.55\text{kN}\end{array}$

Thus, the round off for number 2553 N to three significant figures is $\underset{\_}{2.55\text{kN}}$.

To determine

To Round off:

The number 7555 kg to three significant figures.

Answer to Problem 1P

The round off for number 7555 kg to three significant figure is $\underset{\_}{7.56\text{Mg}}$.

Explanation of Solution

Given:

The given value is 7555 kg

Explanation:

A significant figure is defined as a method that is used to indicate an uncertainty in experimental or calculated values. Significant figures are the vital digits that are identified with certainty. Certainty is indicated first in a number followed by uncertainty.

For example: If a result is 12.3 m, 12 is certain and 3 is uncertain.

Round off the number to three significant figures.

$\text{7555}\text{kg}$

Write the three significant figures formula.

$\text{kg}={10}^{-3}\text{Mg}$

Conclusion:

Round off the number 7555 kg to three significant figures.

$\begin{array}{c}7555\text{kg}=7555\text{kg}\times {10}^{-3}\frac{\text{Mg}}{\text{kg}}\\ =7.56\text{Mg}\end{array}$

Thus, the round off for number 7555 kg to three significant figures is $\underset{\_}{7.56\text{Mg}}$.