Multiplying or dividing two related quantities by the same number is called __________.

Multiplying or dividing two related quantities by the same number is called scaling

Answered by nokutoyi2 | 2024-06-10

Multiplying or dividing two related quantities by the same number is called creating a conversion factor. This is because multiplication and division are inverse operations of each other. When you divide by a number, it's the same as multiplying by its reciprocal. For example, dividing by 8 is the same as multiplying by 1/8. Similarly, multiplying by 1/2 is the same as dividing by 2.
Multiplying or dividing both sides of an equation by the same number does not change the equality. If an equation has more than one term on a side, you should enclose that side with brackets before performing the operation.
In the context of units, we construct conversion factors by dividing one quantity into both sides, allowing for unit conversion. Regardless of which quantity we divide by, the conversion factor will equal 1, maintaining the equality. When dealing with vectors, multiplying a vector by a scalar means multiplying each component by the scalar, while division is similarly defined.

Answered by Qwseed | 2024-06-24

Scaling is the process of multiplying or dividing two related quantities by the same number, maintaining their proportional relationship. It is used in various mathematical applications, including geometry and mapping. Understanding scaling is important for accurately representing measurements and relationships in mathematical contexts.
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Answered by nokutoyi2 | 2024-10-11