When adding or subtracting numbers written in scientific notation, the first step is to ensure that each number is written with the same exponent. Once the exponents are equal, the numbers can be added or subtracted by simply adding or subtracting their coefficients.
In contrast, when multiplying numbers written in scientific notation, the coefficients are multiplied together, and the exponents are added together. This is because multiplying numbers in scientific notation is equivalent to multiplying the coefficients and adding the exponents.
Similarly, when dividing numbers written in scientific notation, the coefficients are divided, and the exponents are subtracted.
In both cases, the processes are similar in terms of manipulating the exponents and coefficients, but the specific operations (addition/subtraction vs. multiplying/dividing) are different.
Determining which operation is easiest can depend on personal preference and familiarity. Some may find adding or subtracting numbers in scientific notation easier because it only involves simple addition or subtraction of coefficients. On the other hand, others may find multiplying or dividing easier because it only requires multiplying or dividing the coefficients and adding/subtracting the exponents.
Ultimately, the ease of each operation depends on an individual's mathematical abilities and their level of comfort with scientific notation.
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
1 answer