Answer :
Final answer:
The number 157,821 in scientific notation is expressed as 1.57821 × 10^5. This is done by moving the decimal point 5 places to the left. Therefore, the power of 10 is 5.
Explanation:
Understanding Scientific Notation
To express the number 157,821 in scientific notation, we want to write it in the form of a × 10^n, where a is a number between 1 and 10, and n is an integer. First, we need to move the decimal point in 157,821 to form a number between 1 and 10.
- The original number is 157,821.
- Move the decimal point 2 places to the left to get 1.57821.
- This gives us 1.57821 × 10 to the power of 5 (since we moved the decimal point 5 places left to get back to 157,821).
Thus, in scientific notation, 157,821 is written as 1.57821 × 10^5. The power of 10 in this notation is 5.
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