Which sentence demonstrates the multiplicative identity? A: 1/2•2=1 B: 1/2•1=1/2 C: 1/2+0= 1/2
Answer:
(B)
Step-by-step explanation:
A multiplicative identity is the property in which when a number is multiplied with one (1), the number remains unchanged.
Thus, (A) The given sentence is :
\(\frac{1}{2}{\times}2=1\)
This sentence does no undergo multiplication with 1, therefore, this option does not demonstrates the multiplicative property, hence this option is incorrect.
(B) The given sentence is:
\(\frac{1}{2}{\times}1=\frac{1}{2}\)
This sentence undergoes multiplication with 1 and gives the unchanged number, thus this option demonstrates the multiplicative identity, hence this option is correct.
(C) The given sentence is :
\(\frac{1}{2}+0=\frac{1}{2}\)
The given expression undergoes addition, thus this option is incorrect.