Question
Write the number in scientific notation. -0.00000000345
Ask by Vega Stewart. in the United States
Jan 29,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(-0.00000000345\) in scientific notation is \(-3.45 \times 10^{-9}\).
Solution
-0.00000000345 written in scientific notation is:
\[
-3.45 \times 10^{-9}
\]
**Explanation:**
Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of ten. Here's how to convert \(-0.00000000345\) into scientific notation:
1. **Identify the Decimal Placement:**
- Move the decimal point to the right of the first non-zero digit.
- For \(-0.00000000345\), moving the decimal 9 places to the right gives \(-3.45\).
2. **Determine the Exponent:**
- Since the decimal was moved 9 places to the right, the exponent is \(-9\).
3. **Combine the Components:**
- The number in scientific notation is \(-3.45 \times 10^{-9}\).
This format is especially useful for representing very large or very small numbers in a more compact and manageable form.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To express -0.00000000345 in scientific notation, you would write it as -3.45 x 10^-9. This form clearly indicates the number’s magnitude and makes it easier to handle in calculations, especially with such tiny numbers! When converting to scientific notation, always remember that the first part should be a number between 1 and 10. You move the decimal point to the right until you have that number, counting how many places you moved it to determine the exponent of 10, which becomes negative for decimals less than one!
