Chapter 9.5, Problem 8CYU

To determine

The numbers in the increasing order

Answer to Problem 8CYU

  $3.4\times {10}^2<3.5\times {10}^2<3.7\times {10}^2<400$

Explanation of Solution

Given:

The given terms are

  $3.4\times {10}^2,3.5\times {10}^2,3.7\times {10}^2,400$

Calculation:

The given terms can be simplified as

  $\begin{array}{l}\Rightarrow 3.4\times {10}^2\\ =\frac{34}{10}\times 100\\ =340\\ \\ \Rightarrow 3.5\times {10}^2\\ =\frac{35}{10}\times 100\\ =350\\ \\ \Rightarrow 3.7\times {10}^2\\ =\frac{37}{10}\times 100\\ =370\\ \\ \Rightarrow 400\\ \\ \text{As,}\\ 340<350<370<400\\ 3.4\times {10}^2<3.5\times {10}^2<3.7\times {10}^2<400\end{array}$