The Correct Answer and Explanation is:
The correct answer is 3 times, with a remainder of 1.
This question is a division problem that asks you to find both the quotient and the remainder when 7 is divided by 2. In mathematics, this is often written as 7 ÷ 2. The question “How many times does 2 go into 7?” is asking for the quotient, which is the whole number result of the division. The remainder is the amount that is left over after the division is complete.
To solve this, we can think about the multiples of the divisor, which is 2. We want to find the largest multiple of 2 that is less than or equal to the dividend, which is 7. Let’s list the multiples of 2:
- 2 × 1 = 2
- 2 × 2 = 4
- 2 × 3 = 6
- 2 × 4 = 8
As you can see, 2 × 3 = 6 is the closest we can get to 7 without going over. The next multiple, 8, is too large. This means that 2 goes into 7 three whole times. Therefore, the quotient is 3.
Now, we need to find the remainder. To do this, we subtract the result we just found (6) from the original number (7).
7 – 6 = 1
The amount left over is 1. This is our remainder. A crucial rule in division is that the remainder must always be smaller than the divisor. In this case, our remainder of 1 is smaller than our divisor of 2, so the calculation is correct.
Putting it all together, 2 goes into 7 three times, with a remainder of 1. You can also visualize this by imagining you have 7 cookies to share between 2 friends. Each friend would get 3 cookies, and there would be 1 cookie left over.
