Question
- Scientific notation with a positive exponent
Write 349.8 in scientific notation.
- Scientific notation with a positive exponent |
Write 349.8 in scientific notation. |
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Ask by Harmon Higgins. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To write 349.8 in scientific notation with a positive exponent, you can express it as:
Here’s how it fits into your provided table:
[
- Scientific notation with a positive exponent |
Write 349.8 in scientific notation. |
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|
]
Explanation:
- Coefficient: Move the decimal point in 349.8 two places to the left to get 3.498.
- Exponent: Since you moved the decimal two places to the left, the exponent is 2.
- Scientific Notation: Combine the coefficient and exponent as
.
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Mind Expander
To write 349.8 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of ten. So, you shift the decimal point two places to the left, which gives you 3.498. Therefore, in scientific notation, it becomes
.
This conversion is useful in various scientific fields, such as physics and astronomy, where very large or very small numbers are common. For example, distances in space can be represented in astronomical units, and scientific notation simplifies calculations and communication of these values, making it easier to work with extreme measurements!