To determine which inverse operation matches the given equation [tex]\(54 \div 9 = 6\)[/tex], we need to evaluate each option provided:
A. [tex]\(9 - 6 = 3\)[/tex]
- This operation subtracts 6 from 9, giving the result of 3. This result is not directly related to our given equation [tex]\(54 \div 9 = 6\)[/tex].
B. [tex]\(54 \div 6 = 9\)[/tex]
- This operation divides 54 by 6, giving the result of 9. While it produces a related result, dividing 54 by 6 does not directly reverse the division in our given equation.
C. [tex]\(9 + 6 = 15\)[/tex]
- This operation adds 6 to 9, giving the result of 15. This result is not related to our given equation [tex]\(54 \div 9 = 6\)[/tex].
D. [tex]\(9 \times 6 = 54\)[/tex]
- This operation multiplies 9 by 6, giving the result of 54. This result directly correlates with our given equation because multiplying 9 and 6 gives us 54, which is the initial value used in the division operation [tex]\(54 \div 9\)[/tex].
Therefore, the correct inverse operation for [tex]\(54 \div 9 = 6\)[/tex] is to multiply 9 by 6. The best answer is:
D. [tex]\(9 \times 6 = 54\)[/tex]
