Pre-Algebra Examples

$7.4 x \cdot 10^{4} + 3.18 x \cdot 10^{- 5}$

Step 1

Simplify each term.

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Step 1.1

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

$7.4 x \cdot 10000 + 3.18 x \cdot 10^{- 5}$

Step 1.2

Multiply $10000$ by $7.4$ .

$74000 x + 3.18 x \cdot 10^{- 5}$

Step 1.3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$74000 x + 3.18 x \cdot \frac{1}{10^{5}}$

Step 1.4

Raise $10$ to the power of $5$ .

$74000 x + 3.18 x \cdot \frac{1}{100000}$

Step 1.5

Multiply $3.18 x \frac{1}{100000}$ .

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Step 1.5.1

Combine $3.18$ and $\frac{1}{100000}$ .

$74000 x + x \frac{3.18}{100000}$

Step 1.5.2

Combine $x$ and $\frac{3.18}{100000}$ .

$74000 x + \frac{x \cdot 3.18}{100000}$

$74000 x + \frac{x \cdot 3.18}{100000}$

Step 1.6

Move $3.18$ to the left of $x$ .

$74000 x + \frac{3.18 \cdot x}{100000}$

Step 1.7

Factor $3.18$ out of $3.18 \cdot x$ .

$74000 x + \frac{3.18 (x)}{100000}$

Step 1.8

Factor $100000$ out of $100000$ .

$74000 x + \frac{3.18 (x)}{100000 (1)}$

Step 1.9

Separate fractions.

$74000 x + \frac{3.18}{100000} \cdot \frac{x}{1}$

Step 1.10

Divide $3.18$ by $100000$ .

$74000 x + 0.0000318 \frac{x}{1}$

Step 1.11

Divide $x$ by $1$ .

$74000 x + 0.0000318 x$

$74000 x + 0.0000318 x$

Step 2

Add $74000 x$ and $0.0000318 x$ .

$74000.0000318 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$