Sure! To convert 3.67 billion miles into standard form, we follow these steps:
1. Understand that "billion" represents [tex]\(10^9\)[/tex]. So, 1 billion miles equals [tex]\(10^9\)[/tex] miles.
2. Given the distance from the Sun to Pluto is 3.67 billion miles, we need to multiply 3.67 by [tex]\(10^9\)[/tex].
3. When we perform this multiplication, [tex]\(3.67 \times 10^9\)[/tex] is equivalent to shifting the decimal point 9 places to the right in the number 3.67.
Thus, the distance from the Sun to Pluto in standard form is:
[tex]\[
3.67 \times 10^9 = 3670000000.0 \text{ miles}
\][/tex]
So, the distance from the Sun to Pluto in standard form is [tex]\(3670000000.0\)[/tex] miles.
