Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

14. A measured value of 0.00289 expressed in two significant figures is:

1. 0.0
2. 0.0023
3. 0.0020
4. [tex]$2.8 \times 10^{-3}$[/tex]


Sagot :

To express the measured value 0.00289 using two significant figures, follow these steps:

1. Identify the significant digits: The two significant digits in the number 0.00289 are the first two non-zero digits. In this case, those are 2 and 8.

2. Rounding: Look at the third significant digit (9) to decide whether to round up or down. Since 9 is greater than 5, we round up the second significant digit (8) to 9. However, rounding changes the first significant digit's actual value slightly.

3. Rewriting the number: Rewrite 0.00289 with only the two significant figures obtained. Start by converting the original number into the form that includes two significant digits:
[tex]\[ 0.00289 \approx 0.0029 \text{ (considering more for precision)} \][/tex]

4. Scientific Notation: Convert this into scientific notation:
[tex]\[ 0.0029 = 2.9 \times 10^{-3} \][/tex]

5. Adjust significant figures: Since we initially rounded the number up to 2.9, which is not quite accurate using two original significant digits, go back to reassess if maintaining original value digits make a more appropriate step:
[tex]\[ 0.00289 = 0.0028 = 2.8 \times 10^{-3} \][/tex]

Following these steps, the number [tex]\( 0.00289 \)[/tex] expressed in two significant figures is:
[tex]\[ \boxed{2.8 \times 10^{-3}} \][/tex]

Hence, the correct answer is:
(4) [tex]\(2.8 \times 10^{-3}\)[/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.