What word associated with a Division operation is each true or false
1. Commutative - False
2. Associative - True
3. Identity - True
4. Distributive - False
5. Equal - True
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To find a word associated with a division operation that can be either true or false, we can consider the term "Divisible."
Explanation:
- The term "Divisible" refers to whether one number can be evenly divided by another number without leaving a remainder.
- If one number is divisible by another, it is considered true; this means that the division operation between the two numbers results in an even quotient.
- Conversely, if one number is not divisible by another, it is considered false; this means that the division operation between the two numbers results in a quotient with a remainder.
Example:
Let's consider the division operation between two numbers: 15 ÷ 3.
- In this case, 15 is divisible by 3, and the division operation yields a quotient of 5 (without any remainder).
- Therefore, the statement "15 is divisible by 3" is true.
Similarly, if we take the division operation between two numbers: 20 ÷ 7.
- In this case, 20 is not divisible by 7, and the division operation yields a quotient of 2 with a remainder of 6.
- Therefore, the statement "20 is divisible by 7" is false.
In summary, the term "Divisible" can be used to describe a word associated with a division operation that can be either true or false.