How do i subtract posotive and negative rational numbers

Mathematics

1 answer:

Blababa [14]3 years ago

4 0

Answer: this always helps me: same signs add and keep, opposites subtract, keep the sign of the bigger number.

Step-by-step explanation: if they they are both negative you just subtract them and keep it negative, and it it’s a negative and a positive you subtract the bigger number - the smaller number and keep the sign (positive or negative) of the bigger number. hope this helped:)

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Find two numbers with a difference of 10 and a product that is a minimum. Find the minimum.

Firdavs [7]

Answer: {-5, 5}. Product is -25, which is the minimum.

Explanation:

let a, b denote the two numbers. We know that b-a=10.

We are looking for a minimum over the product a*b.

$ab=a(a+10)= a^2+10a$

One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):

$a^2+10a= (a+5)^2-25\implies x_{min}=-5$