Final answer:
After performing the multiplication of 13 by 83, the result is 1079, which does not match any of the given options (310, 35, 30, 310). There seems to be a typo in the question or the provided options.
Step-by-step explanation:
To simplify the expression (13)(83), we need to perform the multiplication. When we multiply 13 by 83, we get 1079.
However, the options provided in the question (310, 35, 30, 310) do not seem to be correct as none of them match the correct product of 1079. It is possible that there is a typo in the question itself or the options provided. If we assume that one of the 310 options was meant to be 1079 (perhaps due to a typographical error), then the correct answer would be the intended 1079, which is not listed.
To make sure that there was no error in the simplification, we can double-check the multiplication:
- Multiply the ones place: 3 x 83 = 249.
- Multiply the tens place by 83 and add a zero to denote tens: 10 x 83 = 830.
- Add the results of steps 1 and 2: 249 + 830 = 1079.
This confirms that the product of 13 and 83 is indeed 1079.
Therefore, due to what appears to be a typo in the question, the answer would not match any of the given options. The exact answer to the original question is not present in the choices provided.