7th Grade Math Quiz 1 Flashcards

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.

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.