600 divided by 60 equals?
The correct answer and explanation is:
Correct Answer:
600 ÷ 60 = 10
300-Word Explanation:
Division is one of the four fundamental operations in mathematics, alongside addition, subtraction, and multiplication. It involves splitting a number (called the dividend) into equal parts defined by another number (called the divisor). The result of this operation is called the quotient.
In this case:
- Dividend = 600
- Divisor = 60
- We are calculating: 600 ÷ 60
To understand this, ask: How many times does 60 fit into 600?
We can solve this by simplifying the problem step by step.
First, notice that 600 and 60 are both multiples of 10. If we divide both numbers by 10, we get:
600 ÷ 10 = 60
60 ÷ 10 = 6
Now, instead of dividing 600 by 60 directly, we can divide 60 by 6 (which is simpler) and keep in mind the result will be the same:
60 ÷ 6 = 10
Therefore:
600 ÷ 60 = 10
This works because:
- You can cancel out common factors in division.
- Dividing both numbers by the same factor (like 10) maintains the correct ratio.
Real-Life Example:
Suppose you have 600 shillings and you want to give 60 shillings to each friend equally. You want to know how many friends you can give the money to.
By dividing 600 by 60, you find the answer is 10 friends—each gets exactly 60 shillings, and the money is fully used.
Conclusion:
600 divided by 60 equals 10.
This is a basic division problem that teaches proportional reasoning, multiplication facts, and understanding of place value and factors.