To determine which inverse operation can be used to verify the equation [tex]\( 102 \div 3 = 34 \)[/tex], let's look at the nature of inverse operations.
In mathematics, the inverse operation of division is multiplication. We need to check whether multiplying the quotient and the divisor results in the dividend.
Given equation:
[tex]\[ 102 \div 3 = 34 \][/tex]
Inverse operation (multiplication):
[tex]\[ 34 \times 3 \][/tex]
Let's calculate:
[tex]\[ 34 \times 3 = 102 \][/tex]
Since multiplying the quotient (34) by the divisor (3) gives back the original dividend (102), we can verify that the equation is correct using this multiplication.
Thus, the correct answer is:
[tex]\[ C. \, 34 \times 3 = 102 \][/tex]
