Chapter 4, Problem 43CR

To determine

To write the number in scientific notation 67000000

Answer to Problem 43CR

  $6.7\times {10}^7$

Explanation of Solution

Given information:

Number 67000000 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 67000000- start moving the decimal point to the left. Whenever move the decimal to the left, the exponent stays positive.

As there are 6 zero’s, may first write the number as-

  $67\times {10}^6$

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 left, hence adding 1 more to the power of 10.

  $6.7\times {10}^7$

Conclusion-

  $6.7\times {10}^7$