Compute and write your answer in scientific notation.
8.2 x 105
2.75 x 10-3
8.2 x 10^5 can be computed as follows:
Move the decimal point 5 places to the right to represent the power of 10.
Result: 820,000
2.75 x 10^-3 can be computed as follows:
Move the decimal point 3 places to the left to represent the power of 10.
Result: 0.00275
To express a number in scientific notation, we need to move the decimal point so that there is exactly one non-zero digit to the left of it. The resulting number will be multiplied by a power of 10.
Let's work through each number:
1) 8.2 x 10^5:
In this case, we already have a single non-zero digit (8) to the left of the decimal point. So, we can directly express it in scientific notation as 8.2 x 10^5.
2) 2.75 x 10^-3:
To write this number in scientific notation, we need to move the decimal point three places to the left so that there is only one non-zero digit to the left of the decimal point. This gives us 0.00275. Since we moved the decimal point to the left, the exponent of 10 becomes negative. Therefore, the number in scientific notation is 2.75 x 10^-3.