Rational Numbers on the Number Line Flashcards

Grade 7 · Math · Flashcards

Key terms and concepts for working with rational numbers and the number line in 7th grade.

Flashcards

Rational number: Any number expressible as p/q where p and q are integers and q ≠ 0. Includes integers, fractions, and repeating or terminating decimals
Irrational number: A number that cannot be written as a fraction; its decimal never ends or repeats. Examples: √2, π
Number line: A visual tool where every point represents a number; positive numbers go right, negatives go left of zero
Plotting a fraction: Divide the space between two integers into equal parts based on denominator, then count the numerator of steps
Comparing negative fractions: The number closer to zero (smaller absolute value) is the greater negative. -1/4 > -3/4
Absolute value: The distance from zero; |−3/4| = 3/4
Opposite numbers: Two numbers the same distance from zero on opposite sides; the sum of opposites is always 0
Converting fraction to decimal: Divide numerator by denominator. 3/4 = 3 ÷ 4 = 0.75
Ordering rational numbers: Convert all to decimals, then order from least (furthest left) to greatest (furthest right)