Basic Math Examples

(2.5 \cdot 10^{3}) (3 \cdot 10^{2})

$(2.5 \cdot 10^{3}) (3 \cdot 10^{2})$

Step 1

Multiply

2.5

$2.5$ by

3

$3$ .

7.5 (10^{3} \cdot 10^{2})

$7.5 (10^{3} \cdot 10^{2})$

Step 2

Multiply

10^{3}

$10^{3}$ by

10^{2}

$10^{2}$ by adding the exponents.

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Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

7.5 \cdot 10^{3 + 2}

$7.5 \cdot 10^{3 + 2}$

Step 2.2

Add

3

$3$ and

2

$2$ .

7.5 \cdot 10^{5}

$7.5 \cdot 10^{5}$

7.5 \cdot 10^{5}

$7.5 \cdot 10^{5}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

7.5 \cdot 10^{5}

$7.5 \cdot 10^{5}$

Expanded Form:

750000

$750000$

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

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