When adding or subtracting numbers written in scientific notation, the first step is to ensure that the exponents are the same. Once the exponents are aligned, the coefficients can be added or subtracted. The result is then expressed in scientific notation by adjusting the exponent if necessary.
On the other hand, when multiplying numbers written in scientific notation, the coefficients are multiplied, and the exponents are added together to obtain the final result. The result is again expressed in scientific notation by adjusting the exponent if needed.
The steps for addition/subtraction and multiplication/division in scientific notation are similar in terms of aligning the exponents and adjusting the result if needed. However, the main difference lies in the mathematical operation performed on the coefficients.
Many people find adding and subtracting numbers in scientific notation to be the easiest operation because the exponents simply need to be adjusted if necessary, and the coefficients can be added or subtracted with ease. Multiplication and division, on the other hand, involve more complex calculations with the coefficients, which some may find more challenging. Ultimately, the ease of each operation may vary depending on an individual's mathematical strengths and proficiency.
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, or dividing numbers written in scientific notation is easiest? Why?
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