Basic Math Examples

$(3 \cdot 10^{- 1}) + (2 \cdot 10^{- 2}) + (6 \cdot 10^{- 3})$

Step 1

Remove parentheses.

$3 \cdot 10^{- 1} + 2 \cdot 10^{- 2} + 6 \cdot 10^{- 3}$

Step 2

Move the decimal point in $2$ to the left by $1$ place and increase the power of $10^{- 2}$ by $1$ .

$3 \cdot 10^{- 1} + 0.2 \cdot 10^{- 1} + 6 \cdot 10^{- 3}$

Step 3

Factor $10^{- 1}$ out of $3 \cdot 10^{- 1} + 0.2 \cdot 10^{- 1}$ .

$(3 + 0.2) \cdot 10^{- 1} + 6 \cdot 10^{- 3}$

Step 4

Add $3$ and $0.2$ .

$3.2 \cdot 10^{- 1} + 6 \cdot 10^{- 3}$

Step 5

Move the decimal point in $6$ to the left by $2$ places and increase the power of $10^{- 3}$ by $2$ .

$3.2 \cdot 10^{- 1} + 0.06 \cdot 10^{- 1}$

Step 6

Factor $10^{- 1}$ out of $3.2 \cdot 10^{- 1} + 0.06 \cdot 10^{- 1}$ .

$(3.2 + 0.06) \cdot 10^{- 1}$

Step 7

Add $3.2$ and $0.06$ .

$3.26 \cdot 10^{- 1}$

Step 8

The result can be shown in multiple forms.

Scientific Notation:

$3.26 \cdot 10^{- 1}$

Expanded Form:

$0.326$