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Jacob has four cabin bags. He wants to determine which cabin bag is the heaviest. The actual mass of the cabin bags is shown below:

\begin{tabular}{|l|l|l|l|l|}
\hline
Bag & A & B & C & D \\
\hline
Mass (in kg) & 5.65 & 5.59 & 5.63 & 5.60 \\
\hline
\end{tabular}

If the weighing machine measures to the nearest tenth of a kg, which bag will not be the same mass as the others?

A. Bag A
B. Bag B
C. Bag C
D. Bag D



Answer :

GinnyAnswer
To determine which cabin bag's mass stands out when rounded to the nearest tenth of a kilogram, let's analyze each bag's mass step by step:

1. Bag A: The mass is 5.65 kg.
- When rounded to the nearest tenth, 5.65 kg becomes 5.7 kg.

2. Bag B: The mass is 5.59 kg.
- When rounded to the nearest tenth, 5.59 kg becomes 5.6 kg.

3. Bag C: The mass is 5.63 kg.
- When rounded to the nearest tenth, 5.63 kg becomes 5.6 kg.

4. Bag D: The mass is 5.60 kg.
- When rounded to the nearest tenth, 5.60 kg becomes 5.6 kg.

Next, let's compare the rounded masses of the bags:
- Bag A rounds to 5.7 kg.
- Bag B rounds to 5.6 kg.
- Bag C rounds to 5.6 kg.
- Bag D rounds to 5.6 kg.

From these rounded masses, it is evident that:
- Bags B, C, and D all round to 5.6 kg.
- Only Bag A rounds to a different value, 5.7 kg.

Thus, the cabin bag that does not have the same mass as the others when rounded to the nearest tenth of a kilogram is Bag A.

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