Problem

Carry out the following calculation and report the answer using the proper number of significant figures: \[ \frac{16.75 \mathrm{ft}}{0.54 \mathrm{~s}} \] $31.0185 \mathrm{ft} / \mathrm{s}$ $31.01 \mathrm{ft} / \mathrm{s}$ $31.02 \mathrm{ft} / \mathrm{s}$ $31.0 \mathrm{ft} / \mathrm{s}$ $31 \mathrm{ft} / \mathrm{s}$

Solution

Step 1 :Given the calculation \(\frac{16.75 \mathrm{ft}}{0.54 \mathrm{s}}\)

Step 2 :The rule for division (and multiplication) is that the result should have the same number of significant figures as the number in the operation with the least significant figures. In this case, 0.54 has two significant figures, so our result should also have two significant figures.

Step 3 :Perform the division to get the result: 31.018518518518515

Step 4 :Round the result to two significant figures to get: 31.02

Step 5 :Final Answer: The result of the calculation, rounded to the proper number of significant figures, is \(\boxed{31.02 \, \mathrm{ft/s}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/18325/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download