Mr tan bought 55 oranges .He wanted to pack all of them into carton.Each cartons could hold 8 oranges.What was the smallest number of cartons which Mr tan would need to pack all the oranges 

To find the smallest number of cartons Mr. Tan would need to pack all 55 oranges, follow these steps:

1. **Determine how many full cartons can be filled**:
   \[
   \text{Full cartons} = \left\lfloor \frac{55 \text{ oranges}}{8 \text{ oranges per carton}} \right\rfloor = \left\lfloor 6.875 \right\rfloor = 6 \text{ full cartons}
   \]

2. **Calculate the number of oranges left after filling the full cartons**:
   \[
   \text{Remaining oranges} = 55 - (6 \times 8) = 55 - 48 = 7 \text{ oranges}
   \]

3. **Determine if an additional carton is needed**:
   Since 7 oranges are left, and a carton can hold 8 oranges, Mr. Tan will need one more carton for these remaining oranges.

Therefore, the smallest number of cartons needed is:
\[
6 \text{ full cartons} + 1 \text{ additional carton} = 7 \text{ cartons}
\]

Mr. Tan would need **7 cartons** to pack all 55 oranges.

Would you like more details on this calculation, or do you have any other questions?

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Here are 8 related questions you might consider:

1. How many oranges would be left if Mr. Tan packed them into 6 cartons?
2. If each carton could only hold 6 oranges, how many cartons would Mr. Tan need?
3. How many oranges would Mr. Tan have if he used 8 cartons?
4. If Mr. Tan bought 72 oranges, how many cartons would he need?
5. What is the maximum number of oranges Mr. Tan can pack into 5 cartons?
6. If each carton could hold 10 oranges, how many cartons would Mr. Tan need?
7. How many more oranges could Mr. Tan pack if he had 2 additional cartons?
8. If Mr. Tan only had 4 cartons, how many oranges could he pack?

**Tip**: When dealing with division problems that involve packing or grouping, always check for any remainder to determine if an additional group or container is necessary.

Learn how to calculate the smallest number of cartons needed to pack oranges. This problem involves division and the floor function to determine the number of full cartons and any remaining oranges. Suitable for students in Grades 4-6.

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