8.03x10-^8-2.56x10-^2. show work
To subtract two numbers written in scientific notation, we need to make sure that they have the same exponent.
First, let's subtract the coefficients:
8.03 - 2.56 = 5.47
Now, let's subtract the exponents: -8 - (-2) = -8 + 2 = -6
The final answer is 5.47 x 10^(-6)
To subtract these numbers in scientific notation, we need to ensure that the exponents of the powers of 10 are the same. Let's adjust them accordingly:
8.03x10^(-8) - 2.56x10^(-2)
Since the second number has a larger exponent, we will adjust the first number's exponent to match:
8.03x10^(-8) = 8.03x10^(-8 -(-2))
= 8.03x10^(-8 + 2)
= 8.03x10^(-6)
Now we can subtract the numbers:
8.03x10^(-6) - 2.56x10^(-2)
To subtract them, we keep the larger exponent and subtract the mantissas (the decimal part):
8.03x10^(-6) - 2.56x10^(-6)
For the subtraction of mantissas, we get:
8.03 - 2.56 = 5.47
The final result is:
5.47x10^(-6)
To subtract the two given numbers in scientific notation, we need to ensure that both numbers have the same exponent.
Given:
First number: 8.03 × 10^(-8)
Second number: 2.56 × 10^(-2)
To make the exponents the same, we need to adjust the second number by shifting the decimal point 6 places to the right, since the difference in exponents is 10^(-8) - 10^(-2) = 10^(-2) - 10^(-8) = 10^(-8).
Adjusting the second number:
2.56 × 10^(-2) = 0.0256 × 10^(-2)
Now that both numbers have the same exponent, we can subtract them:
8.03 × 10^(-8) - 0.0256 × 10^(-2)
Since the exponents are the same, we can subtract the coefficients:
8.03 - 0.0256 = 8.0044
The result is 8.0044 × 10^(-8).
Therefore, 8.03 × 10^(-8) - 2.56 × 10^(-2) = 8.0044 × 10^(-8)