Math Problem Statement

Samuel is planning a three-day trip. The map below shows the distance he plans to travel on each day. a) Approximate the total length of the trip by first rounding each distance to the nearest kilometre. b) Calculate the exact length of the trip.

Solution

To solve Samuel's travel problem, we can break it down into two parts based on the instructions:

a) Approximate the total length of the trip by rounding each distance to the nearest kilometre.

If you provide the distances Samuel plans to travel for each day, I can round them to the nearest kilometre and sum them to give an approximate total.

b) Calculate the exact length of the trip.

For this part, once I know the exact distances Samuel is travelling on each day, I can sum them together to get the exact total length of the trip.

Please provide the distances for each of the three days so I can proceed with both calculations.


Relative Questions:

  1. What distances did Samuel plan to travel on each of the three days?
  2. Are the distances measured in kilometres, and are there any decimal places involved?
  3. Does Samuel plan to travel back to the starting point after each day, or is it a one-way journey?
  4. Are there any other specific conditions, such as detours, that could affect the total distance?
  5. How would rounding to the nearest kilometre potentially affect the final answer?

Tip: When rounding to the nearest kilometre, if the decimal is 0.5 or higher, round up. If it's less than 0.5, round down.

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Math Problem Analysis

Mathematical Concepts

Rounding
Addition
Decimal Numbers

Formulas

Rounding Rule: If decimal ≥ 0.5, round up; if decimal < 0.5, round down
Sum = Distance Day 1 + Distance Day 2 + Distance Day 3

Theorems

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Suitable Grade Level

Grades 4-6