Questions and Answers
What is the definition of the term 'square'?
What is the definition of a 'square root'?
A number (factor) multiplied by itself to form a product.
What is a 'perfect square'?
Numbers whose square roots are whole numbers.
What are 'non-perfect squares'?
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Which of the following describes rational numbers?
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What defines an 'irrational number'?
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Define 'integer'.
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What are 'whole numbers'?
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Define 'natural numbers'.
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All rational numbers are integers.
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No rational numbers are whole numbers.
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All rational numbers are whole numbers.
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No irrational numbers are whole numbers.
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All whole numbers are integers.
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What is the natural number that represents the number of people in this room?
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Describe the change in temperature throughout the day.
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Study Notes
Square and Square Root
- A square is the result of multiplying a number by itself (e.g., 5x5).
- The square root is the number that, when multiplied by itself, yields a product.
Perfect Squares
- Perfect squares are numbers whose square roots are whole numbers, such as 1, 4, 9, 16, etc.
Non-Perfect Squares
- Non-perfect squares are numbers whose square roots are non-terminating and non-repeating decimals.
Rational Numbers
- Rational numbers can be expressed as fractions.
- They can be either terminating or repeating decimals.
- All perfect squares fall under the category of rational numbers.
Irrational Numbers
- Irrational numbers are represented as non-terminating and non-repeating decimals.
- They cannot be expressed as fractions.
- The square root of any non-perfect square number is classified as an irrational number.
Whole and Integer Numbers
- Integers include positive whole numbers, their negatives, and zero (e.g., -2, -1, 0, 1, 2).
- Whole numbers are non-negative integers, including zero (e.g., 0, 1, 2, 3).
Natural Numbers
- Natural numbers are the set of positive whole numbers starting from 1 (e.g., 1, 2, 3).
Statements about Rational and Whole Numbers
- Not all rational numbers are integers; some are expressed as fractions or decimals.
- Whole numbers are a subset of rational numbers as they can be written as fractions (e.g., 3 as 3/1).
- All whole numbers are integers, maintaining the relationship that whole numbers can take negative values to represent integers.
Statements about Irrational Numbers
- No irrational numbers can be whole numbers, confirming that they do not fit within this set.
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Description
Test your knowledge with this interactive flashcard quiz for 7th-grade math. Focus on key concepts like squares, square roots, and rational numbers. Perfect for students looking to reinforce their understanding of mathematical definitions and properties.
