Different Signs

Subtract and use the sign of the larger absolute value:

• $7 + (-3) = 4$
• $-7 + 3 = -4$

Subtracting Integers

Rule: Add the opposite! $a - b = a + (-b)$

Examples:

• $5 - 8 = 5 + (-8) = -3$
• $-3 - 7 = -3 + (-7) = -10$
• $4 - (-6) = 4 + 6 = 10$

Multiplying Integers

Same signs → Positive

• $5 \times 3 = 15$
• $(-5) \times (-3) = 15$

Different signs → Negative

• $5 \times (-3) = -15$
• $(-5) \times 3 = -15$

Dividing Integers

Same rules as multiplication:

• Same signs → Positive
• Different signs → Negative

Examples:

• $12 \div 3 = 4$
• $(-12) \div (-3) = 4$
• $12 \div (-3) = -4$

Since -8 has the larger absolute value, the answer is negative.

Answer: $-3$

Answer: $20$