Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Properties of Real Numbers...Part 2

Transitive Property

If a number x = a number y = a number z, we can say that x = z.

Say that x = sqrt{a}, I can also say y = sqrt{a}, which leads to also saying that z = sqrt{a}.

You say?

Principle of Substitution

If a number x = a number y, I can also substitute y for x in any expression containing x.

Can you provide an example to show this is true?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,637

Re: Properties of Real Numbers...Part 2

yes.

Points on the line y=x obey this idea.  So (3,3) is on the line. So is (x+5,y+5)

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Properties of Real Numbers...Part 2

yes.

Points on the line y=x obey this idea.  So (3,3) is on the line. So is (x+5,y+5)

Bob

Interesting, Bob. Considering that my unemployment status continues until the Coney Island high rise residential complex is ready, I can dedicate more time for mathematics. I will be be financially squeezed but happy to be spending more time with Michael Sullivan.