Finding 50% of a Number
Finding 50% of a number is a Grade 4 percent skill in Saxon Math Intermediate 4 Chapter 5. Since 50% equals 1/2, students find 50% of any number simply by dividing it by 2. For example, 50% of 16 is 16 divided by 2 equals 8. Real-world connections include store discounts (50% off means half price) and splitting quantities equally. The critical conceptual point is that percent means out of 100, so 50% means 50 out of 100, which simplifies to exactly one half—not the number 50 itself.
Key Concepts
Property Since 50% equals $\frac{1}{2}$, we find 50% of a number by dividing it into two equal parts.
Example How many eggs is 50% of a dozen (12 eggs)? $12 \div 2 = 6$ eggs. How many minutes is 50% of an hour (60 minutes)? $60 \div 2 = 30$ minutes. How much money is 50% of 10 dollars? $10 \text{ dollars} \div 2 = 5 \text{ dollars}$.
Explanation Don't let 'finding 50% of a number' scare you! It's just a math class way of saying 'cut it in half.' Since 50% is the same as the fraction $\frac{1}{2}$, you just divide the total number by two. It’s the easiest percent calculation you'll ever do. If you can share a cookie, you can find 50%.
Common Questions
How do I find 50% of a number?
Divide the number by 2. Since 50% equals 1/2, finding 50% of a number is the same as finding half of it.
What is 50% of 16?
16 divided by 2 equals 8.
Why does 50% mean divide by 2?
Percent means out of 100. 50 out of 100 is 50/100, which simplifies to 1/2. Multiplying by 1/2 is the same as dividing by 2.
What is 50% of an hour (60 minutes)?
60 divided by 2 equals 30 minutes.
What is the most common mistake when finding 50%?
Multiplying by 50 instead of dividing by 2. The number 50 is not the operation—50% is a fraction equal to 1/2.
How does 50% relate to money problems?
If an item costs 10 dollars and is 50% off, the discount is 10 divided by 2 equals 5 dollars, so the sale price is 5 dollars.