The Correct Answer and Explanation is:
The correct answer to the problem “Work out 160 divided by 8” is 20.
Explanation
The mathematical problem presented is a division calculation, asking us to determine how many times the number 8 fits into the number 160. Division can also be thought of as the process of splitting a larger number into a specific number of equal smaller groups. In this case, we are splitting 160 into 8 equal groups. There are several ways to solve this.
One of the simplest methods involves breaking the problem down into a more manageable calculation. You can notice that 160 is very similar to the number 16, just ten times larger. This is a helpful observation because dividing 16 by 8 is a basic multiplication fact. We know that 8 multiplied by 2 equals 16, so 16 divided by 8 is 2. Since our original number was 160 (which is 16 × 10), our result must also be ten times larger than the result of 16 ÷ 8. Therefore, we take our initial answer of 2 and multiply it by 10, which gives us the final answer of 20.
Alternatively, one can use the formal method of long division. You would set up the problem with 160 as the dividend (the number being divided) and 8 as the divisor (the number you are dividing by). First, you see how many times 8 goes into the first digit of the dividend, 1, which is zero. So, you then look at the first two digits, 16. The number 8 goes into 16 exactly two times. You write the digit 2 above the 6 in 160. You then multiply 2 by 8 to get 16, and subtract this from the 16, leaving a remainder of 0. Next, you bring down the last digit of the dividend, which is 0. You then ask how many times 8 goes into 0. The answer is 0. You write this 0 next to the 2 in your answer line. This process gives you the final quotient of 20.
To verify the answer, you can perform the inverse operation, which is multiplication. If you multiply your answer, 20, by the original divisor, 8, you should get the original dividend, 160. Indeed, 20 × 8 = 160, confirming that 20 is the correct solution.
