Question

Describe what happens if you divide a difference by 3.

Answer 1

Dividing a difference by 3 results in one third of the original difference, with practical illustrations found in situations spanning from slicing pizzas evenly to calculating equivalent resistance in parallel circuits or understanding changes in gas pressure.

Step-by-step explanation:

When you divide a difference by 3, you are essentially distributing the subtraction across each third. For instance, if you have a difference of two values, say A - B, and you divide this difference by 3, the result would be (A - B)/3. This operation produces a value that is one third of the initial difference. A real-world example of this would be if you have a pizza that is cut into slices and you take away some slices (difference) and then divide what is left into three equal parts. Similarly, in physics, for example, if three identical resistors are arranged in parallel, the equivalent resistance is R/3 because it is three times easier for current to flow compared to through a single resistor (where R is the resistance of one resistor).

Additionally, in the context of chemistry and gas laws, if the volume of an equilibrium mixture of gasses is decreased by a factor of 3, the partial pressures will increase by the same factor, assuming constant temperature. This illustrates how division by 3 can affect physical properties in scientific contexts.

Answer 2

The Rule for 3: A number is divisible by 3 if the sum of the digits is divisible by 3. What does this mean? This means that we need to add up the digits in the number and see of the answer is can be divided by 3 without a remainder. Step 2: Determine if 3 divides evenly into the sum of 18.