Master multiplying and dividing positive and negative integers, and apply integers to real-world situations.
When multiplying two integers with the same sign, the answer is positive. When the signs are different, the answer is negative. This pattern can be discovered by looking at repeated addition.
Find: (−4) × 6
−24, since the signs are different
Find: (−3) × (−7)
21, since both signs are negative, giving a positive result
Division of integers follows the same sign rules as multiplication. Integers are useful in situations like temperature changes, elevation, and money owed or earned.
Find: (−36) ÷ (−9)
4, since both signs are negative, giving a positive result
A submarine descends 8m every minute for 5 minutes. What is its total change in depth?
(−8) × 5 = −40m, meaning it descended 40m
1. Find: (−7) × 8
2. Find: (−9) × (−6)
3. Find: (−48) ÷ 6
4. Find: (−63) ÷ (−9)
5. A hiker's elevation changes by −50m each hour for 3 hours. What is the total change?