Answer :
Final answer:
The number 157 can be expressed in scientific notation as 1.57 × 10² by moving the decimal point two places to the left. In scientific notation, the format is a × 10^n, where 'a' is between 1 and 10, and 'n' is the power of ten based on the movement of the decimal. Thus, it maintains both clarity and appropriate scaling for larger or smaller values.
Explanation:
Understanding Scientific Notation
To rewrite the number 157 in scientific notation, you need to express it in the form of a × 10^n, where a is a number between 1 and 10 and n is an integer.
1. Identify the Decimal Point: Start by recognizing that 157 can be written as 1.57 when we move the decimal point two places to the left.
2. Determine the Power of Ten: Since we moved the decimal two places to the left, the exponent on 10 will be 2.
3. Final Scientific Notation: Consequently, the number 157 in scientific notation is written as 1.57 × 102.
Examples
- For a number like 3,000, you would write it as 3.0 × 103.
- A smaller number like 0.0045 would be expressed as 4.5 × 10-3.
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