Question

Do the following operations without a calculator. Be sure to express answers in scientific notation. You may round your answers to one decimal place​ as in 3.2x10^5.

Answer 1

To evaluate expressions in scientific notation without a calculator, multiply the coefficients together and add the exponents. Adjust the result to proper scientific notation.

Step-by-step explanation:

Expressions in Scientific Notation

Expressing numbers in scientific notation is a method to represent large or small numbers more easily. To evaluate expressions in scientific notation without a calculator, follow these steps:

1. Multiply the coefficients together.
2. Add the exponents together.
3. Adjust the result to proper scientific notation.

For example, in part c of question 16, (4.6 × 10^-5) × (2.09 × 10^3), you would multiply 4.6 and 2.09 to get 9.594, then add -5 and 3 to get -2. Finally, adjust the result to 9.594 × 10^-2.