Final answer:
The number 6.103 (option b) has the same value when rounded to the nearest tenth or to the nearest hundredth, as both rounded values are expressed as 6.1.
Step-by-step explanation:
The question asks us to identify which number would have the same value when rounded to the nearest tenth or to the nearest hundredth. To find the answer, we'll round each option to the nearest tenth and hundredth and compare the results.
a) 0.777: Rounded to the nearest tenth is 0.8, and to the nearest hundredth is 0.78. These are not the same.b) 6.103: Rounded to the nearest tenth is 6.1, and to the nearest hundredth is 6.10. These are the same when expressed as 6.1.c) 13.135: Rounded to the nearest tenth is 13.1, and to the nearest hundredth is 13.14. These are not the same.d) 104.047: Rounded to the nearest tenth is 104.0, and to the nearest hundredth is 104.05. These are not the same.
Thus, the number that has the same value when rounded to the nearest tenth or to the nearest hundredth is 6.103 (option b).