Yes, because 36 = 9 \cdot 3. No, because 36 is not a multiple of 9. No, because 9 is not a divisor of 36.
Does 9|36? Yes, because 4 = \frac{9}{36}. Yes, because 36 = 9 \cdot 4. Yes, because 36 = 9 \cdot 3. No, because 36 is not a multiple of 9. No, because 9 is not a divisor of 36.
The Correct Answer and Explanation is:
The correct answer to the question “Does 9 divide 36?” is Yes, because 36 is a multiple of 9. Here’s the explanation:
We need to determine if 9 divides 36, or in other words, if 36 is divisible by 9 without leaving a remainder. To check this, we can use the division of 36 by 9:36÷9=436 \div 9 = 436÷9=4
The result of the division is a whole number (4), with no remainder. This means that 9 divides 36 evenly, confirming that 9 divides 36.
Additionally, we can rewrite 36 as a product of 9 and 4, which further shows that 36 is indeed a multiple of 9:36=9×436 = 9 \times 436=9×4
This multiplication proves that 36 can be expressed as a multiple of 9, which also confirms that 9 is a divisor of 36.
If we were to rephrase this, we could say that 9 divides 36 because 36 is a multiple of 9, and it is divisible by 9 without leaving a remainder.
Thus, the correct reasoning is:
- Yes, because 36 equals 9×49 \times 49×4, meaning 9 divides 36.
- No, because 36 is not divisible by 9, would be incorrect, because we have already shown that division gives a whole number.
Therefore, the correct interpretation is that 9 divides 36.
