The Correct Answer and Explanation is:
The correct answer is 9 times, with a remainder of 0.
This math problem is a division question that asks you to determine how many times the number 15 (the divisor) can be fully contained within the number 135 (the dividend). The solution involves finding both the quotient, which is the whole number result of the division, and the remainder, which is the amount left over after the division is complete.
An effective way to solve this without a calculator is to use estimation and multiplication. You can start by trying to multiply 15 by an easy number to get close to 135. For example, a good starting point is multiplying by 10. We know that 15 multiplied by 10 is 150. Since 150 is larger than 135, it tells us that the answer must be a number smaller than 10.
Let’s try the next whole number down from 10, which is 9. We can calculate 15 multiplied by 9. To make this easier, you can break down the multiplication: first, multiply 10 by 9 to get 90, and then multiply 5 by 9 to get 45. Adding these two products together, 90 + 45, gives us 135.
This calculation demonstrates that 15 fits into 135 a perfect number of times. Because 15 multiplied by 9 equals exactly 135, there is nothing left over. This means the division is exact.
This result can also be confirmed using the formal long division method. When you set up the division of 135 ÷ 15, you would find that 15 fits into 135 exactly 9 times. When you multiply 9 by 15 to get 135 and subtract this from the original 135, the result is 0.
Therefore, the quotient is 9 and the remainder is 0. The completed sentence in the image should read: 9 times, with a remainder of 0.
