Chapter 4, Problem 45CR

To determine

To write the number in scientific notation 4280000000

Answer to Problem 45CR

  $4.28\times {10}^9$

Explanation of Solution

Given information:

Number 4280000000 to be changed to scientific notation

Calculation:

To convert to scientific notation, move the decimal point to the left (or right side). Since the given number is a whole number, the decimal is by default understood to be at the end of the number.

So, here in the given number 4280,000,000- start moving the decimal point to the left. Whenever move the decimal to the left, the exponent stays positive.

As there are 7 zero’s, first write the number as-

  $4.28\times {10}^9$

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

  $4.28\times {10}^9$

Conclusion-

  $4.28\times {10}^9$