The discussion revolves around the addition of exponents and the proper notation in scientific notation, specifically examining the expression (35.709 + 5.789)(10^4 + 10^4) as presented in a standardized test preparation context.
There is an ongoing examination of the notation and simplification process. Some participants have pointed out potential errors in the steps shown in the example, while others have expressed confusion regarding the notation itself. The discussion remains open with various interpretations being explored.
Participants note that the example is taken from a specific test preparation manual, which may influence the clarity and correctness of the presented mathematical expressions.
dymand68 said:Homework Statement
(35.709 + 5.789)(10^4 + 10^4)
=41.498 * 10^4
Homework Equations
this is an an example given in my TEAS (standardized skills test) work book/study guide...is it accurate? i don't know why (10^4 + 10^4) = 10^4 after the simplification
The Attempt at a Solution
dymand68 said:the total given example:
(3.5709*10^5)+(5.789*10^4)
=(35.709*10^4)+(5.789*10^4)
=(35.709 + 5.789)(10^4 + 10^4)
=41.498 * 10^4
=4.1498*10^5
The step below is wrong. Both terms above have a factor of 10^4, so the next line should be = (35.709 + 5.789) * 10^4.dymand68 said:the total given example:
(3.5709*10^5)+(5.789*10^4)
=(35.709*10^4)+(5.789*10^4)
dymand68 said:=(35.709 + 5.789)(10^4 + 10^4)
=41.498 * 10^4
=4.1498*10^5