To address the question of identifying which statement contains a quotient, we need to understand what a quotient is in mathematical terms. A quotient is the result obtained when one number is divided by another.
Let's examine each option:
- Option A: [tex]$7-6=1$[/tex]
- This statement represents a subtraction operation, yielding a difference. It does not involve division, so it does not contain a quotient.
- Option B: [tex]$7 \times 6=42$[/tex]
- This statement represents a multiplication operation, producing a product. There is no division involved here, so it does not contain a quotient.
- Option C: [tex]$7+6=13$[/tex]
- This statement represents an addition operation, resulting in a sum. Again, no division is involved, so it does not contain a quotient.
- Option D: [tex]$42 \div 6=7$[/tex]
- This statement represents a division operation. Here, 42 is divided by 6, producing a quotient of 7.
Since a quotient is specifically the result of division, the correct statement containing a quotient is:
Option D: [tex]$42 ÷ 6 = 7$[/tex]
Thus, the best answer to the question "Which of the following statements contains a quotient?" is:
Option D: [tex]$42 \div 6=7$[/tex]
