To verify the original equation [tex]\(54 \div 9 = 6\)[/tex], we need to use the inverse operation of division. The inverse operation of division is multiplication. Therefore, we will multiply [tex]\(9\)[/tex] by [tex]\(6\)[/tex] to see if we get the original number, [tex]\(54\)[/tex].
Here’s the step-by-step solution:
1. Start with the equation [tex]\(54 \div 9 = 6\)[/tex].
2. Use the inverse operation of division, which is multiplication.
3. Multiply [tex]\(9\)[/tex] by [tex]\(6\)[/tex].
4. Perform the multiplication: [tex]\(9 \times 6 = 54\)[/tex].
Since multiplying [tex]\(9\)[/tex] by [tex]\(6\)[/tex] gives us [tex]\(54\)[/tex], we have verified that the original equation [tex]\(54 \div 9 = 6\)[/tex] is correct.
Hence, the best answer for the question is:
D. [tex]\(9 \times 6 = 54\)[/tex].
