Question

which number can each term of the equation be multiplied by to eliminate the decimals before solving?
-m + 0.02 + 2.1m = -1.45 - 4.81m
options: 0.1, 100, 10, 0.01

Explanation:

Step1: Identify decimal places

The decimals in the equation are \(0.02\) (2 decimal places), \(2.1\) (1 decimal place), \(-1.45\) (2 decimal places), and \(-4.81\) (2 decimal places). The maximum number of decimal places is 2.

Step2: Determine multiplier

To eliminate decimals, we multiply by \(10^n\) where \(n\) is the maximum decimal places. Here, \(n = 2\), so \(10^2=100\). Multiplying each term by 100 will convert all decimals to integers.

Answer:

100