Chapter 4.7, Problem 39E

To determine

To rewrite $0.00042$ , $0.00028$ and $2,000,000$ in scientific notation.

Answer to Problem 39E

  $4.2\times {10}^{-4},2.8\times {10}^{-4}\&2\times {10}^6$

Explanation of Solution

Given information: $0.00042$ , $0.00028$ and $2,000,000$

To write numbers in scientific notation for a decimal number, count the number of places in the right till the first nonzero digit after the decimal. This counter shall be the value of the negative exponent present in 10 in the scientific notation.

For non-decimal numbers, count the number of zeros or digits after the first nonzero digit. This shall form as the positive exponent of 10 present in the subsequent scientific notation.

Hence, applying the aforementioned rules, $0.00042$ , $0.00028$ and $2,000,000$ can be written as $4\times {10}^3>2\times {10}^2$ respectively.