Did I do this question correctly? (Loop Rule Q)

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The discussion focuses on a circuit problem involving a 9.0 V battery with internal resistance and multiple resistors. The user calculates the equivalent resistance, total current, and voltage across a specific resistor but receives feedback on inaccuracies in their calculations. Key points of correction include the need to not include the battery's internal resistance in part A, the importance of precise calculations without rounding prematurely, and the necessity to account for voltage across the internal resistance in part C. Overall, the responses emphasize the importance of careful calculation and adherence to problem instructions. The user seeks confirmation on their approach to ensure accuracy.
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A 9.0 V battery has an internal resistance of 0.50 ? and is connected to 5 resistors, as shown in the figure below. A) What is the equivalent resistance of all the resistors (not including the internal resistance of the battery)? B) What is the total current in the circuit? C) What is the voltage across the 10.0 ? resistor?

What I've did:
(1/req) = 1/R1 + 1/R2 + 1/R3
(1/8) + (1/4) = 3/8 (or 2.7)
2.7 + 6.0 = 8.7
(1/8.7) + (1/10) = 187/870 (or 4.7)
4.7 + 5.0 + 0.5 = 10.2
I = V / R I = 9.0 / 10.2 = .88 A
A.) 10.2 ?
B.) .88 A

C.) Voltage Across 5 = .88 x 5 = 4.4 V
So, voltage across 10 = 9-4.4 = 4.6 V

PLEASE TELL ME IF ALL OF THIS RIGHT. I need to get this problem correct. The circuit is attached.
 

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    Problem I - Text.jpg
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It is hard to follow your calculations without any explanations. What does the first line do there?

8/3 is not 2.7, you should not round to just one decimal digit here.
At (A), check the problem statement: "not including the internal resistance of the battery".
At (C), don't forget the voltage at the internal resistance.

Apart from that, it looks fine.
 
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