Math Problem Statement
A number p, when rounded to the nearest 10, is equal to 940. Find the upper and lower bound of p.
Solution
The problem states that a number , when rounded to the nearest 10, is equal to 940. The task is to find the upper and lower bounds of .
Explanation:
- Rounding Rule: When rounding to the nearest 10, numbers are rounded up if they are halfway or more to the next multiple of 10, and rounded down otherwise.
- For , the range of numbers that round to 940 is between 935 and 944 inclusive:
- Lower Bound: (the smallest number that rounds to 940).
- Upper Bound: (the largest number that rounds to 940).
- For , the range of numbers that round to 940 is between 935 and 944 inclusive:
Final Answer:
- Lower Bound:
- Upper Bound:
Would you like a detailed breakdown of why these bounds are determined this way?
Here are some related questions to expand on this topic:
- How do rounding rules differ for decimal places versus whole numbers?
- What would the bounds be if were rounded to the nearest 100 instead of 10?
- Why is the upper bound inclusive of 944 and not 945?
- How does rounding to different levels of precision (e.g., nearest 5, nearest 0.1) affect bounds?
- Can you determine the bounds for if it were rounded to the nearest 1?
Tip: Always check the midpoint when working with rounding problems—it helps clarify whether a value rounds up or down.
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Math Problem Analysis
Mathematical Concepts
Rounding to the nearest ten
Upper and lower bounds
Formulas
Lower bound: number - 5
Upper bound: number + 4
Theorems
Rounding rules for whole numbers
Suitable Grade Level
Grades 6-8