Question
put this in easy words. When adding or subtracting numbers written in scientific notation, we need to ensure that the exponents are the same. We can then perform the addition or subtraction on the coefficients while keeping the same exponent. When multiplying numbers in scientific notation, we multiply the coefficients and add the exponents. When dividing numbers in scientific notation, we divide the coefficients and subtract the exponents.
The steps involved in each case are similar as we need to rearrange the numbers to ensure the exponents are the same and then perform the operation on the coefficients. However, the operations and the ways in which we manipulate the exponents differ.
Adding or subtracting numbers written in scientific notation is generally easier as we only need to adjust the exponents and perform addition or subtraction on the coefficients. Multiplying or dividing numbers written in scientific notation involves both multiplication or division of the coefficients and manipulation of the exponents, which can be more complex.
The steps involved in each case are similar as we need to rearrange the numbers to ensure the exponents are the same and then perform the operation on the coefficients. However, the operations and the ways in which we manipulate the exponents differ.
Adding or subtracting numbers written in scientific notation is generally easier as we only need to adjust the exponents and perform addition or subtraction on the coefficients. Multiplying or dividing numbers written in scientific notation involves both multiplication or division of the coefficients and manipulation of the exponents, which can be more complex.
Answers
GPT 3.5
When we add or subtract numbers in scientific notation, we make sure that the exponents are the same. Then we add or subtract the coefficients while keeping the same exponent.
When we multiply numbers in scientific notation, we multiply the coefficients and add the exponents.
When we divide numbers in scientific notation, we divide the coefficients and subtract the exponents.
Doing these calculations involves similar steps. We rearrange the numbers to have the same exponents, and then perform the operation on the coefficients. However, multiplying or dividing numbers in scientific notation is more complex because we have to do both operations with the coefficients and manipulate the exponents.
When we multiply numbers in scientific notation, we multiply the coefficients and add the exponents.
When we divide numbers in scientific notation, we divide the coefficients and subtract the exponents.
Doing these calculations involves similar steps. We rearrange the numbers to have the same exponents, and then perform the operation on the coefficients. However, multiplying or dividing numbers in scientific notation is more complex because we have to do both operations with the coefficients and manipulate the exponents.