To express the number [tex]\(3,600,000\)[/tex] in scientific notation, follow these steps:
1. Identify the number of decimal places you need to move the decimal point so it is just to the right of the first non-zero digit.
- For the number [tex]\(3,600,000\)[/tex], the decimal point is initially assumed to be at the end: [tex]\( 3,600,000.0 \)[/tex].
- Move the decimal point 6 places to the left, so it is just to the right of the first digit [tex]\(3\)[/tex]:
[tex]\[
3,600,000.0 \rightarrow 3.600000
\][/tex]
2. Determine the exponent. The number of places the decimal point moved becomes the exponent of 10.
- Since the decimal moved 6 places to the left, the exponent is [tex]\(6\)[/tex].
3. Write the number in scientific notation:
- The coefficient (the number you obtained after moving the decimal) is [tex]\(3.6\)[/tex].
- The exponent indicates the power of 10, which is [tex]\(6\)[/tex].
So, [tex]\( 3,600,000 \)[/tex] in scientific notation is:
[tex]\[
3.6 \times 10^6
\][/tex]
Enter the coefficient [tex]\(3.6\)[/tex] in the green box and the exponent [tex]\(6\)[/tex] in the yellow box.
