350,000 in scientific notation
3.5 x 10^5
To express 350,000 in scientific notation, we need to move the decimal point to the right until there is one non-zero digit to the left of the decimal point. In this case, we move the decimal point five places to the left:
350,000 = 3.5 × 10^5
To express the number 350,000 in scientific notation, we need to convert it into a number between 1 and 10, multiplied by a power of 10. Here's how to do it:
1. Count the number of zeros in 350,000. In this case, there are five zeros.
2. Move the decimal point to the left after the first digit, so that there is only one nonzero digit to the left of the decimal point. In this case, we move it after the 3, resulting in 3.5.
3. Since we moved the decimal point five places to the left, we need to multiply the number by 10 raised to the fifth power. In scientific notation, the exponent represents the number of places we moved the decimal point. So, the exponent is 5.
Putting it all together, we have:
350,000 = 3.5 x 10^5
Therefore, 350,000 in scientific notation is 3.5 x 10^5.
Can you elaborate on how you got this answer?
Certainly! Here's a step-by-step explanation of how I arrived at the answer:
1. Count the number of zeros in 350,000. In this case, there are five zeros.
2. Move the decimal point to the left after the first digit, so that there is only one nonzero digit to the left of the decimal point. In this case, we move it after the 3, resulting in 3.5. The number becomes 3.5 x (10^5 zeros) because we moved the decimal point 5 places to the left.
3. Since we moved the decimal point five places to the left, we need to multiply the number by 10 raised to the fifth power. In scientific notation, the exponent represents the number of places we moved the decimal point. So, the exponent is 5.
So, 350,000 can be expressed in scientific notation as 3.5 x 10^5.