8.03x10^-8 - 2.56x10^-2
To subtract these two numbers, we need to make sure the exponents are the same.
Let's rewrite them with the same exponent by moving the decimal point:
8.03 x 10^-8 = 0.0000000803
2.56 x 10^-2 = 0.0256
Now we can subtract:
0.0000000803 - 0.0256 = -0.0256 (rounded to four decimal places)
To subtract 8.03x10^-8 from 2.56x10^-2, we need to ensure that both values have the same exponent. Let's rewrite the equation with a common exponent:
2.56x10^-2 - 8.03x10^-8
We can subtract the decimal numbers as usual:
= 2.56 - 8.03x10^-8
Now, we have a difference between a decimal number and a number written in scientific notation. To subtract these two, we need to express 2.56 as a number in scientific notation. 2.56 can be written as 2.56x10^0.
= 2.56x10^0 - 8.03x10^-8
Now, both values have the same exponent, which is -8, so we can subtract the coefficients (2.56 and 8.03):
= (2.56 - 8.03)x10^-8
Calculating the coefficient:
= -5.47x10^-8
Therefore, 8.03x10^-8 - 2.56x10^-2 is equal to -5.47x10^-8.
To subtract the numbers in scientific notation (8.03x10^-8 and 2.56x10^-2), you need to ensure that the exponents are the same.
Here are the steps to subtract these numbers:
Step 1: If the exponents are different, adjust one or both of the numbers so that they have the same exponent.
In this case, the first number, 8.03x10^-8, has an exponent of -8, while the second number, 2.56x10^-2, has an exponent of -2. To align the exponents, we need to adjust the first number. We can do this by multiplying it by 10^6.
Step 2: Calculate the subtraction of the decimal parts.
After adjusting the exponents, the calculation becomes:
(8.03x10^-8) - (2.56x10^-2) = (8.03x10^-8) - (2.56x10^-2 * 10^6)
Simplifying further:
(8.03x10^-8) - (2.56x10^-2 * 10^6) = 8.03x10^-8 - 2.56x10^4
Step 3: Perform the subtraction of the coefficients.
Subtract the coefficients while keeping the same exponent:
8.03 - 2.56 = 5.47
Finally, write the result in scientific notation:
5.47x10^-8 - 2.56x10^4