Basic Math Examples

$\frac{2 \cdot 2.2 \cdot 10^{12} \cdot 1.5 \cdot 10^{12}}{2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}}$

Step 1

Multiply $2$ by $2.2$ .

$\frac{4.4 \cdot 10^{12} \cdot 1.5 \cdot 10^{12}}{2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}}$

Step 2

Multiply $4.4$ by $1.5$ .

$\frac{6.6 (10^{12} \cdot 10^{12})}{2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}}$

Step 3

Multiply $10^{12}$ by $10^{12}$ by adding the exponents.

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Step 3.1

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

$\frac{6.6 \cdot 10^{12 + 12}}{2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}}$

Step 3.2

Add $12$ and $12$ .

$\frac{6.6 \cdot 10^{24}}{2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}}$

Step 4

Factor $10^{12}$ out of $2.2 \cdot 10^{12} - 1.5 \cdot 10^{12}$ .

$\frac{6.6 \cdot 10^{24}}{(2.2 - 1.5) \cdot 10^{12}}$

Step 5

Subtract $1.5$ from $2.2$ .

$\frac{6.6 \cdot 10^{24}}{0.7 \cdot 10^{12}}$

Step 6

Move the decimal point in $0.7$ to the right by $1$ place and decrease the power of $10^{12}$ by $1$ .

$\frac{6.6 \cdot 10^{24}}{7 \cdot 10^{11}}$

Step 7

Divide using scientific notation.

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Step 7.1

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

$(\frac{6.6}{7}) (\frac{10^{24}}{10^{11}})$

Step 7.2

Divide $6.6$ by $7$ .

$0.9\overline{428571} \frac{10^{24}}{10^{11}}$

Step 7.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.9\overline{428571} \cdot 10^{24 + 11 \cdot - 1}$

Step 7.4

Multiply $11$ by $- 1$ .

$0.9\overline{428571} \cdot 10^{24 - 11}$

Step 7.5

Subtract $11$ from $24$ .

$0.9\overline{428571} \cdot 10^{13}$

Step 8

Move the decimal point in $0.9\overline{428571}$ to the right by $1$ place and decrease the power of $10^{13}$ by $1$ .

$9.\overline{428571} \cdot 10^{12}$

Step 9

The result can be shown in multiple forms.

Scientific Notation:

$9.\overline{428571} \cdot 10^{12}$

Expanded Form:

$9428571428571.43$