Part 1: Core Concepts & Rules (Integer Operations & Absolute Value)

Vocabulary and rule flashcards covering absolute value and integer operations (addition, subtraction, multiplication, and division).

Absolute Value

The distance a number is from zero on a number line, which is always positive (for example, $|-5| = 5$).

Adding Integers (Same Sign)

A rule stating that when adding numbers with the same sign, add the numbers and keep the same sign (for example, $(-2) + (-3) = -5$).

Adding Integers (Different Signs)

A rule stating that when adding numbers with different signs, subtract the values and keep the sign of the number with the larger absolute value (for example, $(-5) + 3 = -2$).

Subtracting Integers Rule

Keep the first number, change subtraction to addition, and change the sign of the second number (for example, $5 - (-3) = 5 + 3 = 8$ and $-6 - (+4) = -6 + (-4) = -10$).

Multiplying Integers (Same Sign)

Multiplying two numbers with the same sign always produces a positive product (for example, $(-4) \times (-3) = 12$).

Multiplying Integers (Different Signs)

Multiplying two numbers with different signs always produces a negative product (for example, $(-5) \times 3 = -15$).

Dividing Integers (Same Sign)

Dividing two numbers with the same sign always yields a positive result (for example, $(-20) \times (-4)^{-1} = 5$ or $(-20) \div (-4) = 5$).

Dividing Integers (Different Signs)

Dividing two numbers with different signs always yields a negative result (for example, $18 \div (-3) = -6$).