Simplify (8.2 × 10−8) − (3.7 × 10−9). Write the final answer in scientific notation.
a) 7.83 × 10−8
b) 7.83 × 10−9
c) 4.5 × 101
d) 4.5 × 10−1
To solve this problem, we can directly subtract the two numbers:
(8.2 × 10^(-8)) - (3.7 × 10^(-9)) = 8.2 × 10^(-8) - 0.37 × 10^(-8)
Since the exponents are the same, we can subtract the two coefficients:
8.2 - 0.37 = 7.83
Therefore, the final answer is 7.83 × 10^(-8).
The correct option is a) 7.83 × 10^(-8).
To simplify (8.2 × 10^(-8)) − (3.7 × 10^(-9)), we need to subtract the coefficients and keep the same base.
The coefficient of (8.2 × 10^(-8)) is 8.2, and the coefficient of (3.7 × 10^(-9)) is 3.7.
8.2 - 3.7 = 4.5.
Therefore, the answer is 4.5 × 10^(-8).
So, the correct option is a) 7.83 × 10^(-8).
To simplify the expression (8.2 × 10−8) − (3.7 × 10−9), we need to subtract the second term from the first term.
First, let's look at the coefficients: 8.2 and 3.7. Subtracting the second coefficient from the first, we have 8.2 - 3.7 = 4.5.
Next, let's look at the powers of 10: 10−8 and 10−9. When subtracting powers with the same base, we subtract the exponents. So, 10−8 - 10−9 = 10−8-(-9) = 10−8+9 = 10^1 = 10.
Now, we have our simplified expression: 4.5 × 10.
To write the final answer in scientific notation, we need to format it as a coefficient multiplied by a power of 10. In this case, the coefficient is 4.5 and the power of 10 is 1.
Therefore, the final answer in scientific notation is: 4.5 × 10^1.
So, the correct option is c) 4.5 × 10^1.