Basic Math Examples

$7 \cdot 10^{4} + 5 \cdot 10^{3} + 4 \cdot 10^{2} + 8 \cdot 10$

Step 1

Move the decimal point in $5$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$7 \cdot 10^{4} + 0.5 \cdot 10^{4} + 4 \cdot 10^{2} + 8 \cdot 10$

Step 2

Factor $10^{4}$ out of $7 \cdot 10^{4} + 0.5 \cdot 10^{4}$ .

$(7 + 0.5) \cdot 10^{4} + 4 \cdot 10^{2} + 8 \cdot 10$

Step 3

Add $7$ and $0.5$ .

$7.5 \cdot 10^{4} + 4 \cdot 10^{2} + 8 \cdot 10$

Step 4

Move the decimal point in $4$ to the left by $2$ places and increase the power of $10^{2}$ by $2$ .

$7.5 \cdot 10^{4} + 0.04 \cdot 10^{4} + 8 \cdot 10$

Step 5

Factor $10^{4}$ out of $7.5 \cdot 10^{4} + 0.04 \cdot 10^{4}$ .

$(7.5 + 0.04) \cdot 10^{4} + 8 \cdot 10$

Step 6

Add $7.5$ and $0.04$ .

$7.54 \cdot 10^{4} + 8 \cdot 10$

Step 7

Raise $10$ to the power of $1$ .

$7.54 \cdot 10^{4} + 8 \cdot 10^{1}$

Step 8

Move the decimal point in $8$ to the left by $3$ places and increase the power of $10^{1}$ by $3$ .

$7.54 \cdot 10^{4} + 0.008 \cdot 10^{4}$

Step 9

Factor $10^{4}$ out of $7.54 \cdot 10^{4} + 0.008 \cdot 10^{4}$ .

$(7.54 + 0.008) \cdot 10^{4}$

Step 10

Add $7.54$ and $0.008$ .

$7.548 \cdot 10^{4}$

Step 11

The result can be shown in multiple forms.

Scientific Notation:

$7.548 \cdot 10^{4}$

Expanded Form:

$75480$