270 divided by 4
The correct answer and explanation is:
Correct Answer: 270÷4=67.5270 \div 4 = 67.5
Detailed Explanation (300 words):
To divide 270 by 4, we are essentially asking, “How many times does 4 go into 270?” Let’s break it down step-by-step for clarity.
1. Understanding Division:
Division is a mathematical operation where you split a number (called the dividend) into a certain number of equal parts (determined by the divisor). In this case:
- 270 is the dividend (the number to be divided)
- 4 is the divisor (the number you are dividing by)
- The quotient is the result of the division.
2. Step-by-Step Division:
Let’s do long division:
- 4 goes into 27 six times (since 4 × 6 = 24).
- Subtract 24 from 27 → remainder is 3.
- Bring down the next digit, which is 0, making it 30.
- 4 goes into 30 seven times (4 × 7 = 28).
- Subtract 28 from 30 → remainder is 2.
Now, 4 doesn’t go into 2 evenly, so we add a decimal point and a zero, making it 20.
- 4 goes into 20 five times (4 × 5 = 20).
- Subtract 20 from 20 → remainder is 0.
So, the final result is: 270÷4=67.5270 \div 4 = 67.5
3. Interpretation of the Answer:
The quotient 67.5 means that 270 items can be evenly divided into 4 groups of 67.5 each. In real-world contexts, this could mean:
- If you have $270 and want to split it equally among 4 people, each person gets $67.50.
- If you have 270 ml of liquid and divide it into 4 containers, each container gets 67.5 ml.
4. Summary:
Understanding division helps with many daily calculations, such as budgeting, sharing, cooking measurements, or data analysis. This specific example reinforces the concept of converting improper divisions into decimal values when the division isn’t whole.