Chapter 4, Problem 42CR

To determine

To write the number in scientific notation 0.000000745

Answer to Problem 42CR

  $7.45\times {10}^{-7}$

Explanation of Solution

Given information:

Number 0.000000745 to be changed to scientific notation

Calculation:

To convert to scientific notation, move the decimal point to the left (or right side). In the given number, the decimal is to be moved to the right side. Whenever the decimal is required to be moved to the right side, the exponent becomes negative.

So, here in the given number 0.000000745 - start moving the decimal point to the right. As there are 6 zero’s, may first write the number as-

  $0.745\times {10}^{-6}$

The correct scientific notation has a number with decimal point just next to the first digit, so need to move the decimal one more place to the right, hence adding 1 more to the power of 10.

  $7.45\times {10}^{-7}$

Conclusion-

  $7.45\times {10}^{-7}$