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The multiplicative identity, also called the identity element, is the element of a group that multiplied by every other element leaves each element unchanged. For example, for real numbers that element is $1.$ \begin{aligned} 7\cdot1&=7 &\qquad\qquad 2.36 \cdot1 &= 2.36 \\[1em] \frac{3}{4}\cdot1&=\frac{3}{4} &\qquad\qquad \pi \cdot1&=\pi \end{aligned} The exception is $0$ since $0\cdot1=0.$ Therefore, it's excluded when talking about the identity of real numbers.