Pre algebra questions and answers

Recent questions in Pre-Algebra
lnwlf1728112xo85f 2022-05-15 Answered

How do you solve and graph - x + 4 > 3 ?

Derick Richard 2022-05-15 Answered

How do you write 720 as a product of its ' factors?

Kendall Oneill 2022-05-15 Answered

How do you solve x 5 > - 3

deformere692qr 2022-05-15 Answered

How do you solve 13 9 + h

Govindennz34j 2022-05-14 Answered

How do you solve p + 9 > - 3 ?

Daphne Haney 2022-05-14 Answered

What is the greatest common factor of 4 and 10?

sg101cp6vv 2022-05-14 Answered

How do you solve and graph - 3 n > 9 ?

Alexis Meyer 2022-05-14 Answered

Is there a kind of "formalism" which define how unit measures come out from integration?
An example: given a point P ( x , y , z ) R 3 there is the concept of mass m associated to this point. Mass is measured in kg,g,lb,... I indicate the generic unite measure of the mass [ m ]. Now, there is also the concept of density of mass ρ ( x , y , z ) which is a (scalar) function which represents "mass per unit volume", or also [ m ] [ s ] 3 (where [ s ] is the unit measure of space), e.g. if we take a constant density over a volume, to know the mass of the volume it suffices to multiply density ρ with volume V. The effect of this multiplication is coherent with unit measures involved.
Now, in general for non-constant density function, one needs to integrate the function over the volume to know mass:
m = V ρ ( x , y , z ) d τ where τ is the volume element.
Now, integrals are pure mathematical objects, how can I relate the fact that an integral is not only (naively) "a product of the integrand for the measure of the space of integration" with the fact that, in the end, there will be [ m ] = [ m ] [ s ] 3 [ s ] 3
Now, naively I can argument something like this [ s 3 ] [ m ] [ s ] 3 d ( [ s 3 ] ), but the integrand is constant so [ m ] [ s ] 3 [ s 3 ] d ( [ s ] 3 ) = [ m ]. But here there is no mathematical formalism, only a naive thought about such an "integral of unit measures" sounds to me.
Is there actually an ad-hoc formal argument for this problem?

Getting your pre Algebra solved becomes much easier when you have all the answers to your questions by taking a closer look at the various examples dealing with Pre-Algebra subjects. We have intentionally collected the list of pre-algebra equations and various solving equations with decimals problems to help you see various examples that explain how certain solutions are found. Still, if something sounds unclear or you are concerned about some solution that has been provided, approach pre-algebra with reverse engineering approach (going backwards).