Final answer:
In algebra, numbers that are attached to variables are generally multiplied or divided by those variables. This applies to normal algebraic expressions, scientific notation, and also when dealing with units of measure. The relationship between numbers and variables typically relies on multiplication and division operations.
Step-by-step explanation:
The question you're asking concerns how numbers are related to variables in mathematical expressions. It is generally true that in algebra, numbers attached to variables are multiplied or divided by those variables. For example, in the expression 4x, the number 4 is multiplied by the variable x. Similarly, in the expression x/5, the variable x is divided by the number 5.
When we discuss operations in scientific notation, multiplying numbers requires us to multiply the principle numbers (N) and add the exponents (n), while division involves dividing the principle numbers and subtracting the exponents. Furthermore, when we perform operations involving variables with units, such as meters, we treat the units as if they were variables—multiplying and dividing them accordingly, following the standard rules for multiplication and division.
In the real world, we often work with approximations and estimations instead of precise numbers, which can affect how these operations work in practice. Still, the fundamental relationship between numbers and variables—as governed by multiplication or division—holds true.