Basic Math Examples

$3.4 m \cdot 10 cm$

Step 1

Convert $cm$ to $m$ .

$3.4 m \cdot 10 cm \times \frac{1 m}{100 cm}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

$\frac{3.4 m}{1} \cdot \frac{10 cm}{1} \times \frac{1 m}{100 cm}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

$\frac{3.4 m}{1} \cdot \frac{10}{1} \times \frac{1 m}{100}$

Step 2.2.2

Combine fractions.

$\frac{10 \cdot 3.4}{100} m^{2}$

Step 2.2.3

Cancel the common factor of $10$ and $100$ .

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Step 2.2.3.1

Factor $10$ out of $10 \cdot 3.4$ .

$\frac{10 (3.4)}{100} m^{2}$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor $10$ out of $100$ .

$\frac{10 \cdot 3.4}{10 \cdot 10} m^{2}$

Step 2.2.3.2.2

Cancel the common factor.

$\frac{10 \cdot 3.4}{10 \cdot 10} m^{2}$

Step 2.2.3.2.3

Rewrite the expression.

$\frac{3.4}{10} m^{2}$

Step 2.2.4

Divide $3.4$ by $10$ .

$0.34 m^{2}$