Final answer:
Solving the equation to get 1.8 = 1.2x could involve algebraic simplification, such as dividing by a common factor. Understanding decimal displacement due to powers of 10 and algebraic rearrangement techniques are essential for these calculations.
Step-by-step explanation:
The question asks how Nita simplified an equation to 1.8 = 1.2x, which is a basic algebraic problem. To determine if the simplification is valid, we would need the original problem. However, it's possible that Nita divided both sides of an equation by a common factor or used properties of equality to isolate the variable. Multiplying and dividing by powers of 10 is a common practice in algebra and is a crucial concept to understand when working with units in scientific notation, as highlighted by the references provided. In these references, we see examples of how to handle decimal numbers and scientific notation, which could reflect the methods Nita used to arrive at a simplified equation.
The references discuss moving the decimal places when working with positive and negative powers of ten (e.g., 1.6 × 10² to get 160 and 2.4 × 10⁻² to get 0.024). There's also mention of rounding off numbers based on significant figures and solving for variables by algebraic rearrangement, such as bringing variables into the numerator on one side of an equation while moving constants to the denominator on the other.