Question
which number is correctly written in scientific notation?
25.20 times 10^3
10 times 10^3
0.2520 times 10^negative 3
2.520 times 10^3
25.20 times 10^3
10 times 10^3
0.2520 times 10^negative 3
2.520 times 10^3
Answers
GPT-4o mini
In scientific notation, a number is expressed in the form of \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.
Let's evaluate each option:
1. **25.20 times \( 10^3 \)**: The coefficient (25.20) is not between 1 and 10. This is not in proper scientific notation.
2. **10 times \( 10^3 \)**: The coefficient (10) is not less than 10. This is not in proper scientific notation.
3. **0.2520 times \( 10^{-3} \)**: The coefficient (0.2520) is less than 1. This is not in proper scientific notation.
4. **2.520 times \( 10^3 \)**: The coefficient (2.520) is between 1 and 10. This is in proper scientific notation.
Therefore, **2.520 times \( 10^3 \)** is the only number that is correctly written in scientific notation.
Let's evaluate each option:
1. **25.20 times \( 10^3 \)**: The coefficient (25.20) is not between 1 and 10. This is not in proper scientific notation.
2. **10 times \( 10^3 \)**: The coefficient (10) is not less than 10. This is not in proper scientific notation.
3. **0.2520 times \( 10^{-3} \)**: The coefficient (0.2520) is less than 1. This is not in proper scientific notation.
4. **2.520 times \( 10^3 \)**: The coefficient (2.520) is between 1 and 10. This is in proper scientific notation.
Therefore, **2.520 times \( 10^3 \)** is the only number that is correctly written in scientific notation.