Find the value of [tex][tex]$8.3 \times 24.2 \times 0.03$[/tex][/tex]. Round your answer to the nearest hundredth.

A. 7.99
B. 6.03
C. 79.86
D. 60.26



Answer :

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]