Sample Solution from
University Physics Volume 1
18th Edition
ISBN: 9781938168277
Chapter 1
Problem 1.1CYU
Try another sample solution
Textbook Problem

Check Your Understanding Restate 4.79 × 10 5  kg using a metric prefix such that the resulting number is bigger than one but less than 1000.

Expert Solution
To determine

Restate the number 4.79×105kg using metric prefix so that the resulting number should be greater than 1 and smaller than 1000.

Answer

The restate number is 479Mg.

Explanation of Solution

Given:

Mass, m=4.79×105kg

Calculation:

The given mass is m=4.79×105kg

First, we need to remove the “kilo” from the given mass

m=4.79×105×103g=4.79×108g

We know that the 108 lies between “Mega” and “Giga”, therefore we can use these prefix, however our question demands for a value which is greater than 1 and lesser than 1000, if we use “Giga” prefix the value will come as

m=4.79×108109Gg=0.479Gg<1

Therefore we have to use “Mega” prefix so that value will between 1 and 1000, the restate value is

m=4.79×108106Mg=479Mg

Thus, the restate value of the number is 479Mg.

Conclusion:

Restating a number using metric prefix, can convert any value to be fit between 1 and 1000 which is convenient for scientific and engineering calculation.

Not sold yet?Try another sample solution