Which Answer Shows 0.00897 Written In Scientific Notation?A. 0.897 × 10 − 2 0.897 \times 10^{-2} 0.897 × 1 0 − 2 B. 8.97 × 10 − 3 8.97 \times 10^{-3} 8.97 × 1 0 − 3 C. 8.97 × 10 − 2 8.97 \times 10^{-2} 8.97 × 1 0 − 2 D. 8.97 × 10 3 8.97 \times 10^3 8.97 × 1 0 3
Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It consists of a number between 1 and 10 multiplied by a power of 10. In this article, we will explore how to write the number 0.00897 in scientific notation.
What is Scientific Notation?
Scientific notation is a method of expressing numbers in the form of a product of a number between 1 and 10 and a power of 10. The power of 10 is usually a negative number for small numbers and a positive number for large numbers. For example, the number 456 can be written in scientific notation as 4.56 × 10^2.
Writing 0.00897 in Scientific Notation
To write 0.00897 in scientific notation, we need to move the decimal point to the right until we have a number between 1 and 10. In this case, we need to move the decimal point 3 places to the right to get 8.97. Since we moved the decimal point 3 places to the right, we need to multiply the number by 10^(-3) to get the correct value.
The Correct Answer
The correct answer is B. . This is because we moved the decimal point 3 places to the right to get 8.97, and we need to multiply the number by 10^(-3) to get the correct value.
Why is the Other Options Incorrect?
Let's take a look at the other options:
- A. : This option is incorrect because we moved the decimal point 3 places to the right to get 8.97, not 0.897.
- C. : This option is incorrect because we need to multiply the number by 10^(-3) to get the correct value, not 10^(-2).
- D. : This option is incorrect because we need to multiply the number by 10^(-3) to get the correct value, not 10^3.
Conclusion
In conclusion, the correct answer is B. . This is because we moved the decimal point 3 places to the right to get 8.97, and we need to multiply the number by 10^(-3) to get the correct value.
Practice Problems
Here are some practice problems to help you understand scientific notation:
- Write the number 456 in scientific notation.
- Write the number 0.000456 in scientific notation.
- Write the number 456,000 in scientific notation.
Answer Key
- 4.56 × 10^2
- 4.56 × 10^(-4)
- 4.56 × 10^5
Final Thoughts
Frequently Asked Questions About Scientific Notation
Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It consists of a number between 1 and 10 multiplied by a power of 10. In this article, we will answer some frequently asked questions about scientific notation.
Q: What is scientific notation?
A: Scientific notation is a method of expressing numbers in the form of a product of a number between 1 and 10 and a power of 10. The power of 10 is usually a negative number for small numbers and a positive number for large numbers.
Q: How do I write a number in scientific notation?
A: To write a number in scientific notation, you need to move the decimal point to the right until you have a number between 1 and 10. Then, you need to multiply the number by a power of 10 to get the correct value.
Q: What is the correct format for scientific notation?
A: The correct format for scientific notation is a number between 1 and 10 multiplied by a power of 10. For example, the number 456 can be written in scientific notation as 4.56 × 10^2.
Q: How do I convert a number from standard notation to scientific notation?
A: To convert a number from standard notation to scientific notation, you need to move the decimal point to the right until you have a number between 1 and 10. Then, you need to multiply the number by a power of 10 to get the correct value.
Q: What is the difference between scientific notation and standard notation?
A: Scientific notation and standard notation are two different ways of expressing numbers. Standard notation is the way we normally write numbers, while scientific notation is a more compact way of writing very large or very small numbers.
Q: When should I use scientific notation?
A: You should use scientific notation when you need to express very large or very small numbers in a more manageable form. For example, you might use scientific notation to express the distance to the moon or the number of atoms in a molecule.
Q: How do I add or subtract numbers in scientific notation?
A: To add or subtract numbers in scientific notation, you need to add or subtract the numbers and then adjust the power of 10 accordingly.
Q: How do I multiply or divide numbers in scientific notation?
A: To multiply or divide numbers in scientific notation, you need to multiply or divide the numbers and then add or subtract the powers of 10 accordingly.
Q: What are some common mistakes to avoid when using scientific notation?
A: Some common mistakes to avoid when using scientific notation include:
- Not moving the decimal point far enough to the right
- Not multiplying the number by the correct power of 10
- Not adjusting the power of 10 correctly when adding or subtracting numbers
- Not multiplying or dividing the numbers correctly
Conclusion
In conclusion, scientific notation is a powerful tool for expressing very large or very small numbers in a more manageable form. By understanding how to write numbers in scientific notation, you can solve problems more easily and accurately. Remember to move the decimal point to the right until you have a number between 1 and 10, and then multiply the number by a power of 10 to get the correct value.
Practice Problems
Here are some practice problems to help you understand scientific notation:
- Write the number 456 in scientific notation.
- Write the number 0.000456 in scientific notation.
- Write the number 456,000 in scientific notation.
- Add the numbers 4.56 × 10^2 and 2.34 × 10^2.
- Subtract the numbers 4.56 × 10^2 and 2.34 × 10^2.
- Multiply the numbers 4.56 × 10^2 and 2.34 × 10^2.
- Divide the numbers 4.56 × 10^2 and 2.34 × 10^2.
Answer Key
- 4.56 × 10^2
- 4.56 × 10^(-4)
- 4.56 × 10^5
- 6.9 × 10^2
- 2.22 × 10^2
- 1.065 × 10^5
- 1.95 × 10^1