Chapter 4.4, Problem 35IP

To determine

To find: the order of numbers from least to greatest.

Answer to Problem 35IP

The order of numbers is $9.05\times {10}^{-6},9.5\times {10}^6<905000<9562301$ .

Explanation of Solution

Given information:

The numbers are $9562301,9.05\times {10}^{-6},9.5\times {10}^6,905000$

calculation: to find the order it is needed to write the numbers in a standard form then compare them,

  $\begin{array}{l}9562301,9.05\times {10}^{-6},9.5\times {10}^6,905000\\ 9.05\times {10}^{-6}\text{=0}\text{.00000905 [move decimal point 6 places to the left]}\\ 9.05\times {10}^6=9050000\text{ [move decimal point 6 places to the right]}\\ \text{9562301}\\ \text{905000 }\end{array}$

Now compare them,

  $0.00000905<905000<9050000<9562301$

Thus, the order of numbers from least to greatest is $9.05\times {10}^{-6},9.5\times {10}^6<905000<9562301$ .