To verify the equation [tex]\(54 \div 9 = 6\)[/tex] using an inverse operation, we need to use multiplication, as it is the inverse operation of division. Here’s a step-by-step solution:
1. Identify the original equation: [tex]\(54 \div 9 = 6\)[/tex]
2. Determine the operation used in the equation: The equation uses division.
3. Recall the inverse operation of division: The inverse operation of division is multiplication.
Now, to verify [tex]\(54 \div 9 = 6\)[/tex], we will use multiplication to check if multiplying the divisor (9) by the quotient (6) gives us the dividend (54):
4. Multiply the divisor by the quotient:
[tex]\[ 9 \times 6 \][/tex]
5. Calculate the product:
[tex]\[ 9 \times 6 = 54 \][/tex]
The result [tex]\(54\)[/tex] matches the original dividend, which verifies the division equation.
Therefore, the correct inverse operation is:
[tex]\[ 9 \times 6 = 54 \][/tex]
Hence, the correct answer is:
C. [tex]\(9 \times 6 = 54\)[/tex]
