To convert the number [tex]\( 247.9 \times 10^4 \)[/tex] into correct scientific notation, follow these steps:
1. Combine the coefficient with the power of 10: First, we multiply the number by the power of ten.
- [tex]\( 247.9 \times 10^4 = 2479000 \)[/tex]
2. Express in scientific notation: In scientific notation, we need to express the number in the form of [tex]\( a \times 10^b \)[/tex], where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( b \)[/tex] is an integer.
- Start by placing the decimal point after the first non-zero digit, which is 2 in this case, making it [tex]\( 2.479 \)[/tex].
- Count how many places the decimal has moved: it moved 6 places to the left, so the exponent is 6.
Thus, the number [tex]\( 247.9 \times 10^4 \)[/tex] in correct scientific notation is [tex]\( \boxed{2.479} \times 10^{\boxed{6}} \)[/tex].
- The coefficient (the number in the green box) is [tex]\( 2.479 \)[/tex].
- The exponent (the number in the yellow box) is [tex]\( 6 \)[/tex].
