Chapter 4, Problem 33CT

To determine

To complete the statement using <, > , or =. $8.12\times 10^5\_\_8.18\times {10}^4$

Answer to Problem 33CT

  $8.12\times 10^5>8.18\times {10}^4$

Explanation of Solution

Given information:

  $8.12\times 10^5\_\_8.18\times {10}^4$

Calculation:

To compare the two expressions, first need to make the exponent of 10 same on both left & right side.

Let us change the exponent of 10 from 4 to 5.

  $8.18\times {10}^4$

To change the exponent to 5, move the decimal to the left

  $0.818\times {10}^5$

Now, the exponent for 10 is same on both sides. now compare the numbers.

  $8.12\times 10^5$ and $0.818\times {10}^5$

Since 8.12 is greater than 0.818, so have-

  $8.12\times 10^5>0.818\times {10}^5$

Hence,

  $8.12\times 10^5>8.18\times {10}^4$

Conclusion-

  $8.12\times 10^5>8.18\times {10}^4$