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Answering the question in general terms:
1. Since we are taught the property at an early age (initially without identifying it formally as a property) , our use of it generally goes unnoticed (for example, when it occurs in a multiplication problem involving the digit 1).
2. When solving algebra or arithmetic problems or proofs, if we can reduce a factor to 1, then by the property we can eliminate this complicating factor.
3. Having identified this property, we can create new mathematical systems within which we can then decide whether or not to include that property.
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Is subtraction an identity property?
Subtraction is not an identity property but it does have an identity property. The identity is 0 and each number is its own inverse with respect to subtraction. However, this is effectively the same as the inverse property of addition so there is no real need to define it as a separate property.
What is the identity property for multiplications?
The identity property is the property that all numbers, real or imaginary, can be multiplied by 1 to obtain the same number; e.g., 14x1 = 14.
Why is the solution to an identity all real numbers?
That is how an identity is defined. If the solution was not true for all numbers, then it would not be called an identity. In fact, it should be true for all complex numbers as well.
What is a real life example of a cliff?
A real life example of a cliff are the white cliffs of Dover.
Why 0 does not have a multiplicative inverse?
As n gets very small, 1/n goes towards infinity. A multiplicative inverse of 0 would be some number x, such that 0x=1. This is impossible with the real numbers we use, since 0x=0 for any number x. One might be tempted to invent a new number (calling it "infinity", "nullity", or any other name) that would be the inverse of 0. Of course, then you're not dealing with real numbers anymore, you're dealing with real numbers plus this invented number. There are serious issues even with this approach. Again, let x be this "multiplicative inverse of 0". Then 0*1=0 and 0*2=0. So 0*1 = 0*2. Multiply both sides by x to get x*0*1 = x*0*2. Since x*0 is 1, this means 1*1 = 1*2. So 1=2, which is an absurd conclusion. As you can see, there are good reasons not to allow a multiplicative inverse for 0 - it breaks all the laws of multiplication we're accustomed to.
What an multiplicative inverse property and real number?
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.
What is the multicative identity of -3?
-3 does not have a multiplicative identity in the set of real numbers.
Which sentence demonstrates the multiplicative identity?
1/2 times 1 = 1/2 The definition of Multiplicative identity: the number 1 (for real number) hope that helps
What is property that states that the product of 1 and any numberis that number?
Multiplicative identity: There exists a unique nonzero real number 1 (one) such that 1 x a = a x 1 = a.
What is the Multiplicative Identity for rational numbers?
It is 1, as it is for all complex numbers - which includes real numbers.
Which equation illustrates the multiplicative property of zero for real numbers?
a * 0=0
What is Multiplicative Property of Zero?
It is when u multiplicative by zero n it = zero
What property of real numbers is illustrated by this equation two thirds times 3-2 equals 1?
The property of reciprocals as multiplicative inverses.
Is subtraction an identity property?
Subtraction is not an identity property but it does have an identity property. The identity is 0 and each number is its own inverse with respect to subtraction. However, this is effectively the same as the inverse property of addition so there is no real need to define it as a separate property.
What is the identity property for multiplications?
The identity property is the property that all numbers, real or imaginary, can be multiplied by 1 to obtain the same number; e.g., 14x1 = 14.
What type of number is one?
It isa natural numberan integera rational numbera real numbera complex numberIt is also the multiplicative identity of each of the above sets of numbers.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
