When given an algebraic expression involving subtraction why is it the best to be right there scratching using addition before identifying the terms

Is "scratching" part of algebra?  Perhaps you meant a different word.

Please go back to the original question and ensure that you have copied all of it and copied it correctly.  I'm just not sure what you're asking here.

The density of an object is the mass of the object divided by its volume.

Remember that mass of an object is the amount of matter that the object contains. The unit for mas in the standard international unit system is the kilogram (kg), which is 1000 grams; the unit of mass in the US is the pound (lb), which is 453.592 grams.

The volume of an object is the amount of space that the object occupies. The unit for volume in the standard international unit system are the cubic meter () and the liter (L); 1 cubic meter equals 1000 liters.

The density of an object is the quantity of mass of the object per unit of its volume. The unit for mas in the standard international unit system is the kilogram per cubic meter ().

Now, lets create our hypothesis:

If the mass and the volume of and object are known, then its density can be calculated dividing the object's mass by its volume.

We can conclude that the density of an object can be obtained by dividing its mass by its volume.

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Explanation: