Basic Math Examples

$\frac{(1.674 \cdot 10^{- 27}) - (9.11 \cdot 10^{- 31})}{1.674 \cdot 10^{- 27} + 9.11 \cdot 10^{- 31}}$

Step 1

Multiply $- 1$ by $9.11$ .

$\frac{1.674 \cdot 10^{- 27} - 9.11 \cdot 10^{- 31}}{1.674 \cdot 10^{- 27} + 9.11 \cdot 10^{- 31}}$

Step 2

Move the decimal point in $- 9.11$ to the left by $4$ places and increase the power of $10^{- 31}$ by $4$ .

$\frac{1.674 \cdot 10^{- 27} - 0.000911 \cdot 10^{- 27}}{1.674 \cdot 10^{- 27} + 9.11 \cdot 10^{- 31}}$

Step 3

Factor $10^{- 27}$ out of $1.674 \cdot 10^{- 27} - 0.000911 \cdot 10^{- 27}$ .

$\frac{(1.674 - 0.000911) \cdot 10^{- 27}}{1.674 \cdot 10^{- 27} + 9.11 \cdot 10^{- 31}}$

Step 4

Subtract $0.000911$ from $1.674$ .

$\frac{1.673089 \cdot 10^{- 27}}{1.674 \cdot 10^{- 27} + 9.11 \cdot 10^{- 31}}$

Step 5

Move the decimal point in $9.11$ to the left by $4$ places and increase the power of $10^{- 31}$ by $4$ .

$\frac{1.673089 \cdot 10^{- 27}}{1.674 \cdot 10^{- 27} + 0.000911 \cdot 10^{- 27}}$

Step 6

Factor $10^{- 27}$ out of $1.674 \cdot 10^{- 27} + 0.000911 \cdot 10^{- 27}$ .

$\frac{1.673089 \cdot 10^{- 27}}{(1.674 + 0.000911) \cdot 10^{- 27}}$

Step 7

Add $1.674$ and $0.000911$ .

$\frac{1.673089 \cdot 10^{- 27}}{1.674911 \cdot 10^{- 27}}$

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.

$(\frac{1.673089}{1.674911}) (\frac{10^{- 27}}{10^{- 27}})$

Step 8.2

Divide $1.673089$ by $1.674911$ .

$0.99891218 \frac{10^{- 27}}{10^{- 27}}$

Step 8.3

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

$0.99891218 \cdot 10^{- 27 - 27 \cdot - 1}$

Step 8.4

Multiply $- 27$ by $- 1$ .

$0.99891218 \cdot 10^{- 27 + 27}$

Step 8.5

Add $- 27$ and $27$ .

$0.99891218 \cdot 10^{0}$

Step 9

Move the decimal point in $0.99891218$ to the right by $1$ place and decrease the power of $10^{0}$ by $1$ .

$9.98912181 \cdot 10^{- 1}$

Step 10

The result can be shown in multiple forms.

Scientific Notation:

$9.98912181 \cdot 10^{- 1}$

Expanded Form:

$0.99891218$