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14. Which inverse operation would be used to verify the following equation?

[tex]\[ 54 \div 9 = 6 \][/tex]

A. [tex]\[ 54 \div 6 = 9 \][/tex]

B. [tex]\[ 9 + 6 = 15 \][/tex]

C. [tex]\[ 9 \times 6 = 54 \][/tex]

D. [tex]\[ 9 - 6 = 3 \][/tex]

Sagot :

GinnyAnsweridn
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]
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