Chapter 4, Problem 27CT

To determine

To write the number in scientific notation $6450000000000$

Answer to Problem 27CT

  $6.45\times {10}^{12}$

Explanation of Solution

Given information:

Number $6450000000000$ 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 left side. Whenever the decimal is required to be moved to the left side, the exponent stays positive.

So, here in the given number $6450000000000$ - start moving the decimal point to the left. As there are 10 zero’s, may first write the number as-

  $=645\times {10}^{10}$

The correct scientific notation has a number with decimal point just next to the first digit, so need to move the decimal two more places to the left, hence adding 2 more to the power of 10.

  $6.45\times {10}^{12}$

Conclusion-

  $6.45\times {10}^{12}$