Final answer:
To perform the given operations, follow the steps below: a) Multiply: (9.09 × 10^8) × (6.33 × 10^9) = (57.5257 × 10^17). b) Divide: (57.5257 × 10^17) ÷ [(6.33 × 10^9) × (4.066 × 10^-7)] = (220.88149 × 10^15). c) Add: (220.88149 × 10^15) + (4.066 × 10^-7) = (220.881494066 × 10^15). d) Subtract: (220.881494066 × 10^15) - (6.33 × 10^9) = (220.88148767 × 10^15).
Step-by-step explanation:
To perform the given operations, follow the steps below:
a) Multiply:
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (9.09 × 10^8) multiplied by (6.33 × 10^9) results in (57.5257 × 10^17).
b) Divide:
To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For example, (57.5257 × 10^17) divided by [(6.33 × 10^9) multiplied by (4.066 × 10^-7)] results in (220.88149 × 10^15).
c) Add:
To add numbers in scientific notation, make sure the exponents are the same, and then add the coefficients. For example, (220.88149 × 10^15) plus (4.066 × 10^-7) results in (220.881494066 × 10^15).
d) Subtract:
To subtract numbers in scientific notation, make sure the exponents are the same, and then subtract the coefficients. For example, (220.881494066 × 10^15) minus (6.33 × 10^9) results in (220.88148767 × 10^15).