Math Problem Statement

what is the upper bound of 5 kg corrected to the nearest 50 grams

Solution

To determine the upper bound of 5 kg corrected to the nearest 50 grams, follow these steps:

  1. Nearest 50 grams: First, identify the nearest 50 grams to which the weight is corrected. Since 5 kg equals 5000 grams, the nearest 50 grams would be 5000 grams itself.

  2. Upper bound: When rounding to the nearest 50 grams, the upper bound is the highest value that would still round down to 5000 grams. This value is just below the next 50 grams increment. The next increment after 5000 grams is 5050 grams.

  3. Calculation of upper bound: The upper bound would be halfway between 5000 grams and 5050 grams. So, the upper bound is: Upper bound=5000+502=5000+25=5025 grams\text{Upper bound} = 5000 + \frac{50}{2} = 5000 + 25 = 5025 \text{ grams}

    Therefore, the upper bound is 5025 grams, which is 5.025 kg.

Would you like more details or have any questions?


Here are 5 related questions you might find interesting:

  1. What is the lower bound of 5 kg corrected to the nearest 50 grams?
  2. How would the bounds change if the weight was corrected to the nearest 100 grams?
  3. What is the concept of significant figures, and how does it differ from rounding?
  4. How do you calculate the bounds for a measurement corrected to the nearest 0.1 kg?
  5. What are some practical applications of determining the upper and lower bounds in real-world measurements?

Tip: When dealing with measurement precision, always remember that the range between the upper and lower bounds represents the uncertainty in the measurement.

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Math Problem Analysis

Mathematical Concepts

Rounding
Precision in Measurement

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8