To find the value of [tex]\(8.3 \times 24.2 \times 0.03\)[/tex] and round it to the nearest hundredth, follow these steps:
1. Multiply the numbers:
[tex]\(8.3 \times 24.2 \times 0.03 = 6.0258\)[/tex].
2. Round the result to the nearest hundredth:
The number [tex]\(6.0258\)[/tex] is rounded to two decimal places (the nearest hundredth). Here, the digit in the thousandths place is 5, which means we round up.
Thus, [tex]\(6.0258\)[/tex] rounded to the nearest hundredth is [tex]\(6.03\)[/tex].
So, the value is [tex]\(6.03\)[/tex], and the correct option is C) 6.03.