Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value.
61,103 = _____
6.11 x 104
6.1103 x 104
6 x 104
can anyone help me?
the 104' are 10 to the 4th power
To express 61,103 in scientific notation, follow these steps:
1. Identify the non-zero digits in the original number. In this case, it is 6, 1, 1, 0, and 3.
2. Count the number of digits in the original number. Here, there are 5 digits.
3. Move the decimal point to the right after the first digit. For each position you move the decimal point, add a power of 10 to the exponent.
In this case, you need to move the decimal point four places to the left to get a number between 1 and 10. Therefore, the exponent is 4.
4. Express the original number with a single non-zero digit to the left of the decimal point, followed by the decimal point, and then the remaining digits. The number should be multiplied by 10 raised to the exponent determined in step 3.
Applying these steps to 61,103, we get:
6.1103 x 10^4
This answer has the same number of significant figures as the starting value, which is five.