Basic Math Examples

$6.5 \cdot 10^{3} \div 1.25 \cdot 10^{6}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{6.5}{1.25}) (\frac{10^{3}}{1}) \cdot 10^{6}$

Step 1.2

Divide $6.5$ by $1.25$ .

$5.2 \frac{10^{3}}{1} \cdot 10^{6}$

Step 1.3

Divide $10^{3}$ by $1$ .

$5.2 \cdot 10^{3} \cdot 10^{6}$

Step 2

Multiply $10^{3}$ by $10^{6}$ by adding the exponents.

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Step 2.1

Move $10^{6}$ .

$5.2 \cdot (10^{6} \cdot 10^{3})$

Step 2.2

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

$5.2 \cdot 10^{6 + 3}$

Step 2.3

Add $6$ and $3$ .

$5.2 \cdot 10^{9}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$5.2 \cdot 10^{9}$

Expanded Form:

$5200000000$