What is the quotient of 120 divided by 4
The Correct Answer and Explanation is :
Quotient of 120 ÷ 4
The quotient of ( 120 \div 4 ) is 30.
Explanation:
1. Understanding Division
Division is the process of splitting a number (dividend) into equal parts based on another number (divisor). The result is called the quotient. Here, we are dividing 120 by 4, meaning we are finding how many groups of 4 can fit into 120.
2. Breaking It Down
To calculate ( 120 \div 4 ):
- Start by considering the largest place value, hundreds:
- In 120, there is 1 hundred. This is equivalent to ( 100 \div 4 = 25 ), but let’s work with all digits for clarity.
- Using long division:
- Divide 12 (from 120) by 4. The result is 3.
- Bring down the next digit (0). Since ( 0 \div 4 = 0 ), the final quotient is 30.
3. Verification
To ensure the result is correct, we can multiply the quotient (30) by the divisor (4). If the result matches the dividend (120), the division was performed correctly:
[
30 \times 4 = 120
]
4. Real-World Example
Imagine you have 120 apples and want to distribute them evenly among 4 baskets. If each basket receives the same number of apples, each will have 30 apples.
5. Importance in Math and Beyond
Understanding division is crucial for solving real-world problems such as resource distribution, financial calculations, and data interpretation. It’s also a fundamental operation that connects to fractions, ratios, and algebra.
Thus, the quotient of ( 120 \div 4 ) is 30—a result verified by logic and practical methods.