Question

express (-51)(1/8i) in x+iy form​

Answer 1

A complex number is defined as an expression of the form $x + iy$, where $x, y$ and $R$ are all real numbers. The real component of the complex number is $x$, and the imaginary part is $y,$ in the equation $x + iy$.

Given:

$51\frac{1}{8i}$

$=51\times \frac{i}{8i\times i} \\=\frac{51i}{8i^{2} } \\=\frac{51i}{-8}$

In form of $x+iy$

Real part is zero and imaginary part is$\frac{-51i}{8}$ .

Answer 2

The standard form of the complex number is $x+iy$, where $x$ is the real part and $y$ is the imaginary part.

Given: $\frac{-51}{8i}$

Multiply $i$ with numerator and denominator,

$\frac{-51}{8i}=\frac{-51}{8i}\times \frac{i}{i}\\=\frac{-51i}{8i^2}\\=\frac{-51i}{-8}\\=\frac{51i}{8}$

The real and imaginary number is 0 and $\frac{51i}{8}$

The standard form of the complex number is $\frac{51i}{8}$.