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The order of magnitude of 154 is...

The order of magnitude of 154 is

A

1

B

2

C

3

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To find the order of magnitude of the number 154, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Number**: We are given the number 154. 2. **Convert to Scientific Notation**: We need to express 154 in scientific notation. This means we want to write it in the form of \( a \times 10^n \), where \( a \) is a number between 1 and 10, and \( n \) is an integer. 3. **Express 154 in Scientific Notation**: - We can write 154 as \( 1.54 \times 10^2 \). - Here, 1.54 is the decimal number where the first digit is non-zero, and \( 10^2 \) indicates that we moved the decimal point two places to the right. 4. **Determine the Order of Magnitude**: The order of magnitude is determined by the exponent of 10 in the scientific notation. In this case, the exponent is 2. 5. **Conclusion**: Therefore, the order of magnitude of 154 is 2. ### Final Answer: The order of magnitude of 154 is **2**. ---
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