Can something be equal to itself?
More generally, any object is the same as itself, which is is consistent with the definition of sameness. In all cases, this is known as the reflexive property, which, along with symmetry (a=b implies b=a) and transitivity (a=b and b=c implies a=c) form the definition of equivalence.
Is a number always equal to itself?
In algebra, the reflexive property of equality states that a number is always equal to itself. If a is a number, then. In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
Can a number be less than itself?
No, In Math terminology a simple “less than” says that the solution set for whatever it is you’re solving for is only less than whatever value you’re comparing it to. So here “less than n” would mean the solution set for the other value in which n is being compared to would be all real numbers less than n.
Is a B then B A?
Multiplication Property: If a = b, then ca = cb. Substitution Property: if a = b, then either a or b may be substituted for the other in any equation or inequality. Reflexive Property: a = a. Symmetric Property: if a = b, then b = a.
Why does NaN not equal itself?
The “Why” NaN is not equal to NaN Short Story: According to IEEE 754 specifications any operation performed on NaN values should yield a false value or should raise an error. Thanks CJ J for sharing this. TLDR; is “Because the IEEE standard says so”.
Is a B and B C then a C?
Transitive Property: if a = b and b = c, then a = c.
Does less than 7 include 7?
So would it be proper to say 7 or less? Yes, less than 7 means any number lower than 7. Here, you are saying, “I can use numbers less than 7 only.” You cannot use 7 in this case because 7 is not less than 7.
What property is a 0 A?
Additive Identity Property
The Identity Properties
| Additive Identity Property | Multiplicative Identity Property |
|---|---|
| If a is a real number, then a + 0 = a and 0 + a = a | If a is a real number, then a ⋅ 1 = a and 1 ⋅ a = a |
What property is if a A?
Algebra Properties and Definitions
| A | B |
|---|---|
| Associative Property of Multiplication | (ab)c = a(bc) |
| Reflexive Property | a = a |
| Symmetric Property | If a = b, then b = a |
| Transitive Property | If a = b and b = c, then a = c |
Is Infinity a NaN?
nan means “not a number”, a float value that you get if you perform a calculation whose result can’t be expressed as a number. Any calculations you perform with NaN will also result in NaN . inf means infinity. Inf is infinity, it’s a “bigger than all the other numbers” number.