express 86 500 000 000 in scientific notation
The correct answer and explanation is:
To express 86,500,000,000 in scientific notation, you need to follow these steps:
Step 1: Identify the significant digits
The number 86,500,000,000 can be written with significant digits as 8.65. These are the first few non-zero digits in the number.
Step 2: Determine the power of 10
The scientific notation format requires you to express the number as a product of a decimal number and a power of 10. To find the power of 10, count how many places you need to move the decimal point to get from 8.65 to 86,500,000,000.
Starting from 8.65, move the decimal point 10 places to the right to reach the original number.
Step 3: Write in scientific notation
Since you moved the decimal point 10 places to the right, the exponent of 10 will be 10. Therefore, the scientific notation of 86,500,000,000 is: 8.65×10108.65 \times 10^{10}
Explanation:
- Scientific notation is a way of expressing very large or very small numbers in a more compact and manageable form. It’s typically written as a number between 1 and 10, multiplied by a power of 10.
- The decimal part is the part between 1 and 10 (in this case, 8.65).
- The exponent of 10 (in this case, 10) tells you how many places to move the decimal point to get back to the original number.
- In the case of 86,500,000,000, the exponent is positive because the number is large. If the number was smaller than 1 (like 0.000000865), the exponent would be negative.
Therefore, the number 86,500,000,000 is 8.65 × 10^10 in scientific notation.