What Are Inequalities with Multiplication?
Inequalities show us how numbers compare to each other!
When we multiply numbers, sometimes the inequality stays the same, and sometimes it changes. It's like a seesaw - if you put more weight on one side, it tips! Let's learn how multiplication affects inequalities.
How Multiplication Affects Inequalities
1️⃣ If we multiply both sides by a positive number, the inequality stays the same
2️⃣ If we multiply both sides by a negative number, the inequality flips!
3️⃣ Always remember to check if your multiplier is positive or negative
Let's Practice Together!
Example 1: Multiplying by Positive Numbers
We know that 3 < 5. What happens when we multiply both sides by 2?
3
5
Let's see what happens when we multiply!
Example 2: Multiplying by Negative Numbers
We know that 4 > 2. What happens when we multiply both sides by -1?
4
2
Let's see what happens when we multiply!
Parent Tips 🌟
- Use real-life examples: Show how doubling or halving ingredients in a recipe affects quantities while keeping the same proportions.
- Temperature analogy: Explain that multiplying by a negative is like going from above zero to below zero temperatures - the "warmer than" relationship reverses!
- Visual aids: Create simple balance scale drawings to show how multiplication affects the "heavier" and "lighter" sides of inequalities.