Basic Math Examples

$(0.5 \cdot 10^{3}) (0.3 \cdot 10)$

Step 1

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

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Step 1.1

Move $10$ .

$0.5 \cdot 10 \cdot 10^{3} \cdot 0.3$

Step 1.2

Multiply $10$ by $10^{3}$ .

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Step 1.2.1

Raise $10$ to the power of $1$ .

$0.5 \cdot (10^{1} \cdot 10^{3}) \cdot 0.3$

Step 1.2.2

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

$0.5 \cdot 10^{1 + 3} \cdot 0.3$

Step 1.3

Add $1$ and $3$ .

$0.5 \cdot 10^{4} \cdot 0.3$

Step 2

Multiply $0.5$ by $0.3$ .

$0.15 \cdot 10^{4}$

Step 3

Move the decimal point in $0.15$ to the right by $1$ place and decrease the power of $10^{4}$ by $1$ .

$1.5 \cdot 10^{3}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$1.5 \cdot 10^{3}$

Expanded Form:

$1500$