Get the information you need from a community of experts on IDNLearn.com. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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


Sagot :

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.