To convert the scientific notation [tex]\( 1.653 \times 10^{-4} \)[/tex] into an ordinary number, we need to understand what the exponent [tex]\(-4\)[/tex] means. The exponent indicates the number of places the decimal point needs to be moved to the left to obtain the ordinary number.
Here are the steps to convert [tex]\( 1.653 \times 10^{-4} \)[/tex] to an ordinary number:
1. Start with the number 1.653.
2. Since the exponent is [tex]\(-4\)[/tex], move the decimal point 4 places to the left.
Starting with [tex]\(1.653\)[/tex]:
- Move the decimal point one place to the left: [tex]\(0.1653\)[/tex]
- Move the decimal point a second place to the left: [tex]\(0.01653\)[/tex]
- Move the decimal point a third place to the left: [tex]\(0.001653\)[/tex]
- Move the decimal point a fourth place to the left: [tex]\(0.0001653\)[/tex]
By moving the decimal point four places to the left, [tex]\(1.653 \times 10^{-4}\)[/tex] becomes [tex]\(0.0001653\)[/tex].
Thus, the ordinary number corresponding to [tex]\( 1.653 \times 10^{-4} \)[/tex] is [tex]\( 0.0001653 \)[/tex].
