Math Problem Statement
Solution
The sentence presented is: "1024 is the smallest 4-digit number that is a perfect square."
This is a statement, as it is a declarative sentence that can be evaluated as true or false.
To verify:
- The smallest 4-digit number is 1000.
- The smallest perfect square in the range of 4-digit numbers is .
- Hence, the statement is true.
Do you want further details or explanations? Here are some related questions to explore:
- What are the next largest perfect squares after 1024?
- How can we mathematically confirm if a number is a perfect square?
- What is the significance of logical statements in mathematics?
- Can you provide more examples of statements versus non-statements?
- How do we determine the smallest n-digit number that satisfies a given property?
Tip: Always verify logical statements by breaking them into components and checking each part's truth value.
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Math Problem Analysis
Mathematical Concepts
Number theory
Perfect squares
Logical statements
Formulas
n^2 where n is an integer
Theorems
Definition of perfect squares
Suitable Grade Level
Grades 6-8
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