To subtract the numbers written in scientific notation, follow these steps:
Step 1: Ensure both numbers have the same exponent (power of 10). In this case, we have:
4.66 x 10^-5 - 7.34 x 10^-7
Step 2: As the exponents are already different, we need to convert one exponent to match the other. Since 10^-7 is smaller than 10^-5, we can convert the second number to 10^-5 by multiplying it by 10^2. This will result in:
4.66 x 10^-5 - (7.34 x 10^-7 x 10^2)
Simplifying further:
4.66 x 10^-5 - 7.34 x 10^(-7 + 2)
Step 3: Add the exponents in the second term, which gives:
4.66 x 10^-5 - 7.34 x 10^-5
Step 4: Now that both exponents match, we can subtract the numbers. This gives:
4.66 - 7.34 = -2.68
Step 5: Keep the exponent the same as the common value, which is 10^-5. Therefore, the answer is:
-2.68 x 10^-5