Division Basics: What Is 17 Divided By 8?
Learning how to divide can be one of the more difficult mathematical concepts to master, but it is crucial to understand it in order to understand more complex equations. Division is an operation that helps to divide a number into parts or groups.Division allows us to understand how many times one number goes into another. When it comes to division, the number being divided is the dividend, and the number doing the division is the divisor.
In this article, we will look at 17 divided by 8. This type of division is often called long division, and we always approach it in the same way. We start by dividing 8 into 17. The division of 17 by 8 can be written like this: 17 ÷ 8.
Breaking Down the Problem: Solving 17 Divided By 8
First, we have to breakdown the problem by starting with the division symbol. Immediately after that, we need to divide the larger number (17) by the smaller number (8). That forms our equation, and now we can begin calculating the answer.
The next step is to find out how many times 8 goes into 17. To do this, start with the largest multiple of 8 that is smaller than 17, which is 16. Then we count down the numbers on the right side of the equation, starting with 17 and count down until you reach the multiple of 8. We then write the multiple in the first box on the left. This number is our answer and it tells how many times 8 goes into 17.
The calculation for 17 divided by 8 is: 17 ÷ 8 = 2, with a remainder of 1. This means 8 goes into 17 two times. The remainder in this problem is 1 because 8 (2 x 8) goes into 17, but not a third time.
Checking the Answer: Verifying 17 Divided By 8
The next step is to check the answer. This ensures the problem was solved correctly, which requires checking with multiplication. To do this, multiply 8 and 2, which equals 16. You then add the remainder of 1 to 16, which leads to the original dividend of 17. This confirms the answer is correct.
To summarize, 17 divided by 8 is 2 with a remainder of 1, which can be verified by multiplying 8 and 2, then adding 1 to obtain the dividend 17.
Conclusion
Division is a fundamental mathematical operation. It is often a difficult concept for students to grasp, but with practice and understanding, it can be mastered. This article looked at the problem of 17 divided by 8 and how to work out that answer. It also outlined how to check the answer and make sure it is correct. With practice, you will master the concept of division and have a better understanding of more complex equations.