What is another way to write to 72 – (–25)?

Mathematics

2 answers:

Rus_ich [418]3 years ago

6 0

72 - (-25) = 72 + 25

Volgvan3 years ago

6 0

The correct answer to this question is this one: "72 + 25"

This is how being revised:
first, the sign of 72 is positive (by default) because there is no "minus" sign.
Second, the sign of 25 is negative because of the negative sign.

72 - (-25) is just like saying 72 - 1 * (-25)
which means that -25 is multiplied with -1. Negative times negative is positive.

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.