Final answer:
The number 92,561 in scientific notation is 9.2561 x 10^4. To find this, the decimal is moved 4 places to the left to leave one non-zero digit to the left of the decimal point, and then multiplied by 10 to the power of 4.
Step-by-step explanation:
When a number like 92,561 is expressed in scientific notation, it should be written such that there's only one non-zero digit to the left of the decimal point. To convert this number into scientific notation, we would move the decimal place 4 positions to the left (since the number is larger than 10). That would make the original number 9.2561. Then, we multiply this by 10 raised to the power of the number of places we moved the decimal, which is 4 in this case. So, 92,561 in scientific notation is 9.2561 x 10^4.
Scientific notation is a method of expressing numbers that are too big or too small to be conveniently written in decimal form. It's particularly useful in fields like physics and engineering, where extremely large or small values are common.
Other examples of scientific notation:
- 3.06 x 10^5 for 306,000.
- 8.84 x 10^-3 for 0.00884.
- 2.76 x 10^6 for 2,760,000.