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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 :

GinnyAnsweridn
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]
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