To solve the problem of finding the value of [tex]\( 8.3 \times 24.2 \times 0.03 \)[/tex] and rounding it to the nearest hundredth, let's follow these steps:
1. Identify and write down the given values:
- [tex]\( 8.3 \)[/tex]
- [tex]\( 24.2 \)[/tex]
- [tex]\( 0.03 \)[/tex]
2. Perform the multiplication:
- First, multiply [tex]\( 8.3 \)[/tex] by [tex]\( 24.2 \)[/tex]:
[tex]\[
8.3 \times 24.2 = 200.86
\][/tex]
- Next, take the result and multiply it by [tex]\( 0.03 \)[/tex]:
[tex]\[
200.86 \times 0.03 = 6.0258
\][/tex]
3. Round the result to the nearest hundredth:
- The value [tex]\( 6.0258 \)[/tex] needs to be rounded to two decimal places.
- To do this, look at the third decimal place (thousandths). If it is 5 or greater, round up the second decimal place by one; otherwise, leave it as is:
[tex]\[
6.0258 \text{ rounded to the nearest hundredth is } 6.03
\][/tex]
So, the rounded value of [tex]\( 8.3 \times 24.2 \times 0.03 \)[/tex] to the nearest hundredth is [tex]\( 6.03 \)[/tex].
Therefore, the correct answer is:
B. [tex]\( 6.03 \)[/tex]
