Chapter 9.5, Problem 27PPS

To determine

The numbers in the increasing order

Answer to Problem 27PPS

  $5.01\times {10}^{-3}<5.01\times {10}^5<5.9\times {10}^4<5.9\times {10}^6$

Explanation of Solution

Given:

The given terms are

  $5.9\times {10}^6,5.9\times {10}^4,5.01\times {10}^5,5.01\times {10}^{-3}$

Calculation:

The given terms can be simplified as

  $\begin{array}{l}\Rightarrow 5.9\times {10}^6\\ =\frac{59}{10}\times 1000000\\ =5900000\\ \\ \Rightarrow 5.9\times {10}^4\\ =\frac{59}{10}\times 10000\\ =59000\\ \\ \Rightarrow 5.01\times {10}^5\\ =\frac{501}{100}\times 100000\\ =50100\\ \\ \Rightarrow 5.01\times {10}^{-3}\\ =\frac{501}{100}\times \frac{1}{1000}\\ =0.00501\\ \\ \text{As,}\\ 0.00501<50100<59000<5900000\\ 5.01\times {10}^{-3}<5.01\times {10}^5<5.9\times {10}^4<5.9\times {10}^6\end{array}$