what is th scientific notation for the number 385,000
i think 3.85x10^5
Right.
You are correct! The scientific notation for the number 385,000 is indeed 3.85 × 10^5.
To convert a number to scientific notation, you follow these steps:
1. Move the decimal point in the original number so that there is only one non-zero digit to the left of the decimal point. In this case, you would move the decimal point three places to the left, resulting in 3.85.
2. Count the number of places you moved the decimal point. In this case, since you moved it three places to the left, the count is 3.
3. Rewrite the number in the form of a multiplication between the decimal portion (in this case, 3.85) and 10 raised to the power of the count (in this case, 3). Written in shorthand, it would be 3.85 × 10^3.
However, keep in mind that when you convert a number to scientific notation, the decimal portion must be between 1 and 10. In our example, 385,000 is greater than 10, so we need to move the decimal point to the left and adjust the exponent accordingly.