Q: What do you do when you have to multiply or divide two quantities by the same number?

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It will give you a perfect square.

Squaring for multiplying, and if you are dividing by the same number, you get 1

If the quantities are related linearly, then the operation would mean SCALING Otherwise it is just operations on the two quantities by a constant

Re-scaling or (for selected vales of the same number) normalising.

The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.

Related questions

Scaling is when you multiply or divide two quantities by the same number.

It will give you a perfect square.

Squaring for multiplying, and if you are dividing by the same number, you get 1

Yes, it is; except that the chosen number cannot be zero.

If the quantities are related linearly, then the operation would mean SCALING Otherwise it is just operations on the two quantities by a constant

It is called algebra. When two quantities are related as long as you do the same operation to both (add, subtract, multiply, or divide) you do not change the relation

Re-scaling or (for selected vales of the same number) normalising.

The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.

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Multiply the numerator and the denominator by the same number or divide the numerator and the denominator by the same number

It is either two quantities that are larger or smaller than the ones that you started with, depending on whether the number that you multiplied or divided by was greater than or less than 1.Multiply by a number greater than 1 : both larger.Multiply by a number less than 1 : both smaller.Divide by a number greater than 1 : both smaller.Divide by a number less than 1 : both larger.

Significant figures are used to receive a more accurate number. To obtain the number you you multiply or divide the quantities, leave as many significant figures in the answer as there are in the quantity with the least number or significant figures. If adding or subtracting quantities, leave the same number of decimal places in the answer as there are in the quantity with the least number of decimal places