To convert the number [tex]\(0.000367 \times 10^3\)[/tex] into scientific notation, follow these steps:
1. Understand the initial expression: You have the number [tex]\(0.000367\)[/tex] multiplied by [tex]\(10^3\)[/tex].
2. Multiply the coefficient by the power of 10:
[tex]\[
0.000367 \times 10^3 = 0.367
\][/tex]
3. Express the result in scientific notation: Move the decimal point in [tex]\(0.367\)[/tex] to get a number between 1 and 10.
4. Move the decimal point and adjust the exponent:
- Moving the decimal point one place to the right transforms [tex]\(0.367\)[/tex] into [tex]\(3.67\)[/tex].
- Since we moved the decimal one place to the right, we must adjust the exponent of 10 by decreasing it by 1 (to balance the equation).
Thus, the scientific notation representation of [tex]\(0.000367 \times 10^3\)[/tex] is:
[tex]\[
3.67 \times 10^2
\][/tex]
So, the correct coefficient to enter in the green box is [tex]\(3.67\)[/tex], and the correct exponent to enter in the yellow box is [tex]\(2\)[/tex].
