Solve |i| * 50 + 30 * 5 - 40/8 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$|i|50+30\times5-40\div8$$

Evaluate

$195$

Solution Steps

The modulus of a complex number $a+bi$ is $\sqrt{a^{2}+b^{2}}$. The modulus of $i$ is $1$.

$$1\times 50+30\times 5-\frac{40}{8}$$

Multiply $1$ and $50$ to get $50$.

$$50+30\times 5-\frac{40}{8}$$

Multiply $30$ and $5$ to get $150$.

$$50+150-\frac{40}{8}$$

Add $50$ and $150$ to get $200$.

$$200-\frac{40}{8}$$

Divide $40$ by $8$ to get $5$.

$$200-5$$

Subtract $5$ from $200$ to get $195$.

$$195$$

Real Part

$195$

Solution Steps

The modulus of a complex number $a+bi$ is $\sqrt{a^{2}+b^{2}}$. The modulus of $i$ is $1$.

$$Re(1\times 50+30\times 5-\frac{40}{8})$$

Multiply $1$ and $50$ to get $50$.

$$Re(50+30\times 5-\frac{40}{8})$$

Multiply $30$ and $5$ to get $150$.

$$Re(50+150-\frac{40}{8})$$

Add $50$ and $150$ to get $200$.

$$Re(200-\frac{40}{8})$$

Divide $40$ by $8$ to get $5$.

$$Re(200-5)$$

Subtract $5$ from $200$ to get $195$.

$$Re(195)$$

The real part of $195$ is $195$.

$$195$$