What is the remainder when you divide 23 by 2 (so 23/2)?
The correct answer and explanation is:
✅ Correct Answer: 1
➗ Explanation:
When dividing 23 by 2, we are essentially asking:
“How many times does 2 go into 23, and what is left over?”
This is a division with remainder (also called modulus operation in math). Let’s break it down:
🔹 Step-by-Step:
- Divide 23 by 2: 23÷2=11 with a remainder23 ÷ 2 = 11 \text{ with a remainder}
- Multiply the whole number part back: 2×11=222 × 11 = 22
- Subtract from 23: 23−22=123 − 22 = 1
So, the remainder is 1.
💡 Why is this Important?
Division with remainders helps us understand parts of numbers that don’t divide evenly. This concept is especially useful in:
- Programming (using modulus
%operator) - Telling time (like dividing hours or minutes)
- Packaging (e.g., putting 23 apples in bags of 2—you’ll have 1 left over)
- Math tests involving number patterns, parity (even/odd), and divisibility
🧠 Concept Summary:
- Any time you divide two integers and they don’t divide evenly, there’s a remainder.
- The remainder is what’s left over after dividing as many whole times as possible.
- In this case: 23÷2=11 R 123 ÷ 2 = 11 \text{ R }1
- This can also be written as: 23mod 2=123 \mod 2 = 1
✅ Final Answer:
The remainder when you divide 23 by 2 is 1.