Which number can each term of the equation be multiplied by to eliminate the decimals before solving? 5.6j – 0.12 = 4 1.1j

The answer is:  "100" .

Explanation:

Looking at the ENTIRE EQUATION (all numeric values on BOTH sides of the equation), we can see that the decimal that with the most decimal places goes to the right, to the hundredths place (i.e. two places); so by multiplying the ENTIRE EQUATION (BOTH SIDES—i.e. EACH term on EACH SIDE) by "100", we get rid of ALL the decimals, as follows:

100*  {5.6j – 0.12 = 41.1 j ) ; 

↔ (100* 5.6j) – (100 * 0.12) = (100 * 41.1 j );

↔  560 j – 12 = 4110 j ;