Pre-Algebra Examples

$0.0024 + 3.7 x \cdot 10^{- 5}$

Step 1

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

$0.0024 + 3.7 x \cdot \frac{1}{10^{5}}$

Step 2

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

$0.0024 + 3.7 x \cdot \frac{1}{100000}$

Step 3

Multiply $3.7 x \frac{1}{100000}$ .

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Step 3.1

Combine $3.7$ and $\frac{1}{100000}$ .

$0.0024 + x \frac{3.7}{100000}$

Step 3.2

Combine $x$ and $\frac{3.7}{100000}$ .

$0.0024 + \frac{x \cdot 3.7}{100000}$

Step 4

Move $3.7$ to the left of $x$ .

$0.0024 + \frac{3.7 \cdot x}{100000}$

Step 5

Factor $3.7$ out of $3.7 \cdot x$ .

$0.0024 + \frac{3.7 (x)}{100000}$

Step 6

Factor $100000$ out of $100000$ .

$0.0024 + \frac{3.7 (x)}{100000 (1)}$

Step 7

Separate fractions.

$0.0024 + \frac{3.7}{100000} \cdot \frac{x}{1}$

Step 8

Divide $3.7$ by $100000$ .

$0.0024 + 0.000037 \frac{x}{1}$

Step 9

Divide $x$ by $1$ .

$0.0024 + 0.000037 x$