Basic Math Examples

$\frac{1.2 \cdot 10^{5} + 8.9 \cdot 10^{6}}{8.45 \cdot 10^{- 3}}$

Step 1

Move the decimal point in $1.2$ to the left by $1$ place and increase the power of $10^{5}$ by $1$ .

$\frac{0.12 \cdot 10^{6} + 8.9 \cdot 10^{6}}{8.45 \cdot 10^{- 3}}$

Step 2

Factor $10^{6}$ out of $0.12 \cdot 10^{6} + 8.9 \cdot 10^{6}$ .

$\frac{(0.12 + 8.9) \cdot 10^{6}}{8.45 \cdot 10^{- 3}}$

Step 3

Add $0.12$ and $8.9$ .

$\frac{9.02 \cdot 10^{6}}{8.45 \cdot 10^{- 3}}$

Step 4

Divide using scientific notation.

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Step 4.1

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

$(\frac{9.02}{8.45}) (\frac{10^{6}}{10^{- 3}})$

Step 4.2

Divide $9.02$ by $8.45$ .

$1.06745562 \frac{10^{6}}{10^{- 3}}$

Step 4.3

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

$1.06745562 \cdot 10^{6 - 3 \cdot - 1}$

Step 4.4

Multiply $- 3$ by $- 1$ .

$1.06745562 \cdot 10^{6 + 3}$

Step 4.5

Add $6$ and $3$ .

$1.06745562 \cdot 10^{9}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$1.06745562 \cdot 10^{9}$

Expanded Form:

$1067455621.30178$