Basic Math Examples

$v (0.022 \cdot 10^{6} - 0.0042 \cdot 10^{6} i)$

Step 1

Simplify each term.

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Step 1.1

Move the decimal point in $0.022$ to the right by $2$ places and decrease the power of $10^{6}$ by $2$ .

$v (2.2 \cdot 10^{4} - 0.0042 \cdot 10^{6} i)$

Step 1.2

Move the decimal point in $- 0.0042$ to the right by $3$ places and decrease the power of $10^{6}$ by $3$ .

$v (2.2 \cdot 10^{4} - 4.2 \cdot 10^{3} i)$

Step 2

Apply the distributive property.

$v \cdot 2.2 \cdot 10^{4} + v (- 4.2 \cdot 10^{3} i)$

Step 3

Simplify each term.

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Step 3.1

Move $2.2$ to the left of $v$ .

$2.2 \cdot v \cdot 10^{4} + v (- 4.2 \cdot 10^{3} i)$

Step 3.2

Raise $10$ to the power of $4$ .

$2.2 v \cdot 10000 + v (- 4.2 \cdot 10^{3} i)$

Step 3.3

Multiply $10000$ by $2.2$ .

$22000 v + v (- 4.2 \cdot 10^{3} i)$

Step 4

Reorder factors in $22000 v + v (- 4.2 \cdot 10^{3} i)$ .

$22000 v - 4.2 \cdot 10^{3} v i$