Scale (Integers) - 8.7.2025

Vocabulary flashcards covering core concepts about integers, number lines, absolute value, and how to interpret signs in context.

Integers

Whole numbers that include negatives, zero, and positives (e.g., {…, -2, -1, 0, 1, 2, …}).

Positive integer

An integer greater than zero (e.g., 3, 5).

Negative integer

An integer less than zero (e.g., -8, -21).

Zero

The integer at the center of the number line; neither positive nor negative.

Number line

A straight line with marks at evenly spaced intervals representing integers to visualize order and distance.

Writing integers from context

Converting real-world situations into signed integers by assigning a positive (gain/deposit) or negative (loss/deduction) sign.

Absolute value

The distance of a number from zero on the number line; always nonnegative; denoted by |x|.

Notation for absolute value

Use of vertical bars, as in |x|, to denote the absolute value of x.

|x| interpretation

Represents how far x is from zero, regardless of direction.

Greater than

A relation where one number is larger than another (written as a > b).

Less than

A relation where one number is smaller than another (written as a < b).

Ordering integers

Arranging integers from least to greatest (or greatest to least).

Distance on the number line

The absolute value of the difference between two numbers; measures how far apart they are.

Contextual signs (gains and losses)

Interpreting positive values as gains/deposits and negative values as losses/deductions in real-world contexts.