Basic Math Examples

(7.6 \cdot 10^{6}) (3 \cdot 10^{- 9})

$(7.6 \cdot 10^{6}) (3 \cdot 10^{- 9})$

Step 1

Multiply

7.6

$7.6$ by

3

$3$ .

22.8 (10^{6} \cdot 10^{- 9})

$22.8 (10^{6} \cdot 10^{- 9})$

Step 2

Multiply

10^{6}

$10^{6}$ by

10^{- 9}

$10^{- 9}$ 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.

22.8 \cdot 10^{6 - 9}

$22.8 \cdot 10^{6 - 9}$

Step 2.2

Subtract

9

$9$ from

6

$6$ .

22.8 \cdot 10^{- 3}

$22.8 \cdot 10^{- 3}$

22.8 \cdot 10^{- 3}

$22.8 \cdot 10^{- 3}$

Step 3

Move the decimal point in

22.8

$22.8$ to the left by

1

$1$ place and increase the power of

10^{- 3}

$10^{- 3}$ by

1

$1$ .

2.28 \cdot 10^{- 2}

$2.28 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

2.28 \cdot 10^{- 2}

$2.28 \cdot 10^{- 2}$

Expanded Form:

0.0228

$0.0228$

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

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