Basic Math Examples

$(8.001 \cdot 10^{2}) \cdot (2.88 \cdot \frac{10^{3}}{2.4} \cdot 10^{- 3})$

Step 1

Multiply $10^{2}$ by $10^{- 3}$ by adding the exponents.

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Step 1.1

Move $10^{- 3}$ .

$8.001 \cdot (10^{- 3} \cdot 10^{2}) \cdot (2.88 \cdot \frac{10^{3}}{2.4})$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8.001 \cdot 10^{- 3 + 2} \cdot (2.88 \cdot \frac{10^{3}}{2.4})$

Step 1.3

Add $- 3$ and $2$ .

$8.001 \cdot 10^{- 1} \cdot (2.88 \cdot \frac{10^{3}}{2.4})$

Step 2

Raise $10$ to the power of $3$ .

$8.001 \cdot 10^{- 1} \cdot (2.88 \cdot \frac{1000}{2.4})$

Step 3

Divide $1000$ by $2.4$ .

$8.001 \cdot 10^{- 1} \cdot (2.88 \cdot 416.\overline{6})$

Step 4

Multiply $2.88$ by $416.\overline{6}$ .

$8.001 \cdot 10^{- 1} \cdot 1200$

Step 5

Multiply $8.001$ by $1200$ .

$9601.2 \cdot 10^{- 1}$

Step 6

Move the decimal point in $9601.2$ to the left by $3$ places and increase the power of $10^{- 1}$ by $3$ .

$9.6012 \cdot 10^{2}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$9.6012 \cdot 10^{2}$

Expanded Form:

$960.12$