compare and contrast adding/subtracting numbers written in scientific notation with multiplying/dividing numbers written in scientific notation. How are the steps in each case similar? how are they different? do you think adding, subtracting, multiplying, and dividing in scientific notation is easiest? why?

Answer 1

When adding or subtracting numbers written in scientific notation, the first step is to adjust the exponents so they are the same. Then, the coefficients can be added or subtracted, while keeping the common exponent. Finally, the result is expressed in scientific notation if necessary.

Similarly, when multiplying numbers written in scientific notation, the coefficients are multiplied, and the exponents are added together. The result can then be written in scientific notation.

When dividing numbers written in scientific notation, the coefficients are divided, and the exponents are subtracted. Again, the result can be expressed in scientific notation if required.

The steps for adding, subtracting, multiplying, and dividing in scientific notation are similar in that they involve adjusting the exponents, performing the mathematical operation on the coefficients, and potentially rewriting the result in scientific notation.

However, the steps differ in the specific mathematical operation. Adding and subtracting involve adjusting the exponents before performing the operation, while multiplying and dividing require adjusting the exponents after performing the operation.

Whether adding, subtracting, multiplying, and dividing in scientific notation is easiest can vary from person to person. Some may find adding and subtracting easier due to the straightforward adjustment of exponents, while others may find multiplying and dividing simpler once the adjustment is made. Ultimately, proficiency in any of these operations comes with practice and familiarity with scientific notation.