Pre-Algebra Examples

$8.6 \cdot 10^{8} \div 3.2 \cdot 10^{3}$

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.

$(\frac{8.6}{3.2}) (\frac{10^{8}}{1}) \cdot 10^{3}$

Step 1.2

Divide $8.6$ by $3.2$ .

$2.6875 \frac{10^{8}}{1} \cdot 10^{3}$

Step 1.3

Divide $10^{8}$ by $1$ .

$2.6875 \cdot 10^{8} \cdot 10^{3}$

Step 2

Multiply $10^{8}$ by $10^{3}$ by adding the exponents.

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Step 2.1

Move $10^{3}$ .

$2.6875 \cdot (10^{3} \cdot 10^{8})$

Step 2.2

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

$2.6875 \cdot 10^{3 + 8}$

Step 2.3

Add $3$ and $8$ .

$2.6875 \cdot 10^{11}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$2.6875 \cdot 10^{11}$

Expanded Form:

$268750000000$