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Which inverse operation would be used to verify the following equation?
[tex]\[ 54 \div 9 = 6 \][/tex]

A. [tex]\( 9 - 6 = 3 \)[/tex]

B. [tex]\( 54 \div 6 = 9 \)[/tex]

C. [tex]\( 9 + 6 = 15 \)[/tex]

D. [tex]\( 9 \times 6 = 54 \)[/tex]

Sagot :

GinnyAnswer
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].
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