Basic Math Examples

$\frac{1}{1 + 5 \cdot \frac{256}{12 \cdot 10^{- 6}}}$

Step 1

Divide using scientific notation.

Tap for more steps...

Step 1.1

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

$\frac{1}{1 + 5 \cdot ((\frac{256}{12}) (\frac{1}{10^{- 6}}))}$

Step 1.2

Divide $256$ by $12$ .

$\frac{1}{1 + 5 \cdot (21.\overline{3} \frac{1}{10^{- 6}})}$

Step 1.3

Move $10^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{1}{1 + 5 \cdot 21.\overline{3} \cdot 10^{6}}$

Step 2

Multiply $5$ by $21.\overline{3}$ .

$\frac{1}{1 + 106.\overline{6} \cdot 10^{6}}$

Step 3

Convert $1$ to scientific notation.

$\frac{1}{1 \cdot 10^{0} + 106.\overline{6} \cdot 10^{6}}$

Step 4

Move the decimal point in $1$ to the left by $6$ places and increase the power of $10^{0}$ by $6$ .

$\frac{1}{0.000001 \cdot 10^{6} + 106.\overline{6} \cdot 10^{6}}$

Step 5

Factor $10^{6}$ out of $0.000001 \cdot 10^{6} + 106.\overline{6} \cdot 10^{6}$ .

$\frac{1}{(0.000001 + 106.\overline{6}) \cdot 10^{6}}$

Step 6

Add $0.000001$ and $106.\overline{6}$ .

$\frac{1}{106.666667\overline{6} \cdot 10^{6}}$

Step 7

Move the decimal point in $106.666667\overline{6}$ to the left by $2$ places and increase the power of $10^{6}$ by $2$ .

$\frac{1}{1.06666667 \cdot 10^{8}}$

Step 8

Divide using scientific notation.

Tap for more steps...

Step 8.1

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

$(\frac{1}{1.06666667}) (\frac{1}{10^{8}})$

Step 8.2

Divide $1$ by $1.06666667$ .

$0.93749999 \frac{1}{10^{8}}$

Step 8.3

Move $10^{8}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$0.93749999 \cdot 10^{- 8}$

Step 9

Move the decimal point in $0.93749999$ to the right by $1$ place and decrease the power of $10^{- 8}$ by $1$ .

$9.37499991 \cdot 10^{- 9}$