This is a basic division problem that can be solved in a few simple ways. Let's explore different methods to understand how many times 6 goes into 18.
Understanding Division
Division is the process of splitting a number (the dividend) into equal groups (the divisor) to find how many groups can be made. In this case, our dividend is 18 and our divisor is 6. We want to figure out how many times 6 fits into 18.
Method 1: Repeated Subtraction
One way to solve this is through repeated subtraction. We repeatedly subtract 6 from 18 until we reach zero:
18 - 6 = 12 12 - 6 = 6 6 - 6 = 0
We subtracted 6 three times. Therefore, 6 goes into 18 three times.
Method 2: Multiplication
Another approach is to think about multiplication. We're looking for a number that, when multiplied by 6, equals 18. We can list the multiples of 6:
6 x 1 = 6 6 x 2 = 12 6 x 3 = 18
We find that 6 multiplied by 3 equals 18. This confirms that 6 goes into 18 three times.
Method 3: Division Algorithm (Long Division)
For larger numbers, the long division algorithm is a helpful tool, though it might seem overkill for this simple problem. However, it's a good skill to learn.
3
6 | 18
18
--
0
We divide 18 by 6, and the result is 3 with a remainder of 0. This signifies that 6 goes into 18 three times evenly.
Conclusion: The Answer is 3
Regardless of the method used, the answer remains consistent: 6 goes into 18 three times. This simple problem illustrates fundamental mathematical concepts essential for more advanced calculations. Understanding different approaches to division enhances your problem-solving skills and mathematical fluency.