The Correct Answer and Explanation is:
The correct answer is 6.
The question “How many times does 11 go into 70?” is a common way of asking for the result of a division problem. Specifically, it seeks the whole number part, or the integer quotient, that results from dividing 70 by 11. There are a couple of straightforward methods to arrive at this solution.
One common approach is to use multiplication and list the multiples of the number 11 until you find the largest one that does not exceed 70. We can list them out as follows:
- 11 × 1 = 11
- 11 × 2 = 22
- 11 × 3 = 33
- 11 × 4 = 44
- 11 × 5 = 55
- 11 × 6 = 66
The very next multiple, 11 times 7, is 77, which is larger than 70. Since 66 is the highest multiple of 11 that is less than 70, we can conclude that 11 fits into 70 a total of six complete times.
Another way to solve this is through the formal process of long division. When you set up the problem to divide 70 by 11, you determine how many times the divisor, 11, can be subtracted from the dividend, 70. As established, this number is 6. You place the 6 as the quotient. Then, you multiply this quotient (6) by the divisor (11), which equals 66. Subtracting 66 from the original 70 leaves a remainder of 4. This remainder represents the amount left over that is too small for 11 to fit into again. Therefore, the number 70 can be expressed as the sum of six groups of 11 plus a remainder of 4, or (6 × 11) + 4 = 70. The question asks for the number of full groups, which is precisely 6. This integer result is useful in many real-world scenarios, such as determining how many full packages of 11 items can be made from a stock of 70.
