Questions: The average distance of Neptune from Earth is 2.67 × 10^9 miles. Write the distance, in miles, in standard notation.

Transcript text: 20. The average distance of Neptune from Earth is $2.67 \times 10^{9}$ miles. Write the distance, in miles, in standard notation.

Solution

Solution Steps

To convert the distance from scientific notation to standard notation, we need to expand the number by moving the decimal point 9 places to the right, as indicated by the exponent.

Step 1: Understand the Problem

The problem asks us to convert the distance of Neptune from Earth, given in scientific notation, to standard notation. The distance is given as $2.67 \times 10^9$ miles.

Step 2: Convert Scientific Notation to Standard Notation

To convert a number from scientific notation to standard notation, we move the decimal point to the right by the number of places indicated by the exponent. Here, the exponent is 9, so we move the decimal point 9 places to the right.

Step 3: Perform the Conversion

Starting with $2.67$, we move the decimal point 9 places to the right, resulting in $2,670,000,000$.