To convert the given number from scientific notation to standard notation, follow these steps:
1. Understand the given scientific notation: The number is given as [tex]\(1.986 \times 10^6\)[/tex].
2. Identify the coefficient and the exponent: In this scientific notation, the coefficient is [tex]\(1.986\)[/tex] and the exponent is [tex]\(6\)[/tex].
3. Interpret the exponent: The exponent [tex]\(6\)[/tex] indicates that the decimal point in the number [tex]\(1.986\)[/tex] should be moved 6 places to the right.
4. Move the decimal point:
- Start with [tex]\(1.986\)[/tex].
- Moving the decimal point 6 places to the right:
- Moving one place to the right gives [tex]\(19.86\)[/tex],
- Moving another place to the right gives [tex]\(198.6\)[/tex],
- Moving another place to the right gives [tex]\(1986\)[/tex],
- Moving another place to the right gives [tex]\(19860\)[/tex],
- Moving another place to the right gives [tex]\(198600\)[/tex],
- Moving another place to the right gives [tex]\(1986000\)[/tex].
5. Fill in with zeros as needed: Since there aren't enough digits after the decimal point initially, add zeros to assure the decimal point is moved the total 6 places to the right.
The final result after moving the decimal point is [tex]\(1986000\)[/tex].
Thus, the number [tex]\(1.986 \times 10^6\)[/tex] written in standard notation is:
[tex]\[
1986000
\][/tex]
