Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To convert the number 0.000376 to standard form, we need to express it as a product of a number between 1 and 10, and a power of 10.
Here is the step-by-step process:
1. Identify the significant figures: The significant figures in the number 0.000376 are 3, 7, and 6.
2. Place the decimal point: To create a number between 1 and 10, we place the decimal point immediately after the first significant figure. This gives us 3.76.
3. Determine the exponent: Count the number of places the decimal has moved from its original position to the new position. Originally, the decimal point is after five zeroes (including leading zeros).
- Moving from 0.000376 to 3.76 involves moving the decimal 4 places to the right. Therefore, the exponent is -4.
4. Combine the two parts: In standard form, the number is written as:
[tex]\[ \text{(Significant figures)} \times 10^{\text{(Exponent)}} \][/tex]
In this case, it becomes:
[tex]\[ 3.76 \times 10^{-4} \][/tex]
However, considering significant digits' accuracy needs more precision for clarity in most scientific contexts, we round 3.76 to one decimal place.
5. Rounding and final expression: With one decimal place, 3.76 rounds to 3.8.
Therefore, the number 0.000376 written in standard form is:
[tex]\[ 3.8 \times 10^{-4} \][/tex]
Here is the step-by-step process:
1. Identify the significant figures: The significant figures in the number 0.000376 are 3, 7, and 6.
2. Place the decimal point: To create a number between 1 and 10, we place the decimal point immediately after the first significant figure. This gives us 3.76.
3. Determine the exponent: Count the number of places the decimal has moved from its original position to the new position. Originally, the decimal point is after five zeroes (including leading zeros).
- Moving from 0.000376 to 3.76 involves moving the decimal 4 places to the right. Therefore, the exponent is -4.
4. Combine the two parts: In standard form, the number is written as:
[tex]\[ \text{(Significant figures)} \times 10^{\text{(Exponent)}} \][/tex]
In this case, it becomes:
[tex]\[ 3.76 \times 10^{-4} \][/tex]
However, considering significant digits' accuracy needs more precision for clarity in most scientific contexts, we round 3.76 to one decimal place.
5. Rounding and final expression: With one decimal place, 3.76 rounds to 3.8.
Therefore, the number 0.000376 written in standard form is:
[tex]\[ 3.8 \times 10^{-4} \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.