Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Select the correct answer.

What is the solution to the problem rounded to the correct number of significant figures?

[tex]\[ 8.01 \times 4.1 = ? \][/tex]

A. \quad 32.8

B. \quad 32.84

C. \quad 32.841

D. \quad 33

Sagot :

GinnyAnswer
To solve the problem [tex]\( 8.01 \times 4.1 \)[/tex] and round it to the correct number of significant figures, follow these steps:

1. Identify the precision of each number:
- The number [tex]\( 8.01 \)[/tex] has three significant figures.
- The number [tex]\( 4.1 \)[/tex] has two significant figures.

2. Perform the multiplication:
[tex]\[ 8.01 \times 4.1 = 32.840999999999994 \][/tex]

3. Determine the required significant figures:
- The answer should be rounded to match the number with the least significant figures in the equation, which is [tex]\( 4.1 \)[/tex] with two significant figures.

4. Round the result to the appropriate number of significant figures:
- Rounding [tex]\( 32.840999999999994 \)[/tex] to two significant figures, we look at the first two digits (32) and the next digit (8).
- Since the next digit is 8, which is greater than or equal to 5, we round up the last digit we keep.

Thus, [tex]\( 32.840999999999994 \)[/tex] rounded to two significant figures becomes [tex]\( 32.8 \)[/tex].

So, the correct answer is:
A. [tex]\( 32.8 \)[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.