Find 0.078 - (5.2*10^-3). Express your answer in scientific notation. Do not round your answer.
0.078 - (5.2*10^-3) = 0.078 - 0.0052 = 0.0728
Expressed in scientific notation, the answer is 7.28*10^-2.
To subtract two numbers in scientific notation, follow these steps:
1. Convert both numbers to standard form (non-scientific notation).
- 0.078 stays the same since it is already in standard form.
- 5.2 * 10^-3 becomes 0.0052 by moving the decimal point three places to the left.
2. Subtract the two numbers in standard form.
- 0.078 - 0.0052 = 0.0728
3. Convert the result back into scientific notation.
- 0.0728 = 7.28 * 10^-2
Therefore, the answer is 7.28 * 10^-2.
To find 0.078 - (5.2 * 10^(-3)), we can begin by subtracting the two numbers without considering the scientific notation.
0.078 - 0.0052 = 0.0728
Now, we need to express this answer in scientific notation.
The first step is to write 0.0728 as a number between 1 and 10 by moving the decimal point. In this case, we can move it two places to the right to get 7.28.
Next, we need to determine the power of 10. Since we moved the decimal point two places to the right, the exponent of 10 will be -2.
Finally, we can express the answer in scientific notation:
7.28 * 10^(-2)