Find 0.078-(5.2x10^-3). Express your answer in scientific notation. Do not round your answer.
To find the difference between two numbers and express the answer in scientific notation, follow these steps:
Step 1: Subtract the second number from the first number.
0.078 - (5.2 x 10^-3) = 0.078 - 0.0052.
Step 2: Perform the subtraction.
0.078 - 0.0052 = 0.0728.
Step 3: Express the answer in scientific notation.
To write 0.0728 in scientific notation, we need to move the decimal point to the right until we have only one non-zero digit to the left of it. In this case, we move the decimal point three places to the right.
0.0728 = 7.28 x 10^-2.
Therefore, the answer to the subtraction 0.078 - (5.2 x 10^-3) expressed in scientific notation is 7.28 x 10^-2.
0.078 - 5.2x10^-3 can be rewritten as 0.078 - 0.0052
When subtracting decimal numbers, we align the decimal points and subtract each place value:
0.078
- 0.0052
---------
0.0728
Since the result is 0.0728, we can express this number in scientific notation as 7.28x10^-2.
To subtract numbers in scientific notation, we need to make sure that the exponents are the same.
0.078 can be written as 7.8 x 10^-2 (since we move the decimal point 2 places to the left).
Now we can subtract:
7.8 x 10^-2 - 5.2 x 10^-3
To subtract, we keep the same exponent and subtract the coefficients:
7.8 - 5.2 = 2.6
So, the answer is 2.6 x 10^-2.