Chapter 4, Problem 31CT

To determine

To complete the statement using <, > , or =. $7.31\times {10}^{-2}\_\_7.31\times {10}^{-3}$

Answer to Problem 31CT

  $7.31\times {10}^{-2}>7.31\times {10}^{-3}$

Explanation of Solution

Given information:

  $7.31\times {10}^{-2}\_\_7.31\times {10}^{-3}$

Calculation:

Here, the numbers are same on both left and right hand side, i.e. 7.31. So , need to evaluate the exponent powers of 10.

On the left hand side, have ${10}^{-2}$ .

On the right hand side, have ${10}^{-3}$ .

compare the powers here, since -2 is greater than -3, hence the left hand side is greater than the right hand side.

Conclusion-

  $7.31\times {10}^{-2}>7.31\times {10}^{-3}$