Basic Math Examples

$200 \cdot 70 \cdot 10^{2} \cdot 3 + 200 \cdot 2 \cdot 3 \cdot 20$

Step 1

Multiply.

Tap for more steps...

Step 1.1

Multiply $200$ by $70$ .

$14000 \cdot 10^{2} \cdot 3 + 200 \cdot 2 \cdot 3 \cdot 20$

Step 1.2

Multiply $14000$ by $3$ .

$42000 \cdot 10^{2} + 200 \cdot 2 \cdot 3 \cdot 20$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Move the decimal point in $42000$ to the left by $4$ places and increase the power of $10^{2}$ by $4$ .

$4.2 \cdot 10^{6} + 200 \cdot 2 \cdot 3 \cdot 20$

Step 2.2

Multiply $200 \cdot 2 \cdot 3 \cdot 20$ .

Tap for more steps...

Step 2.2.1

Multiply $200$ by $2$ .

$4.2 \cdot 10^{6} + 400 \cdot 3 \cdot 20$

Step 2.2.2

Multiply $400$ by $3$ .

$4.2 \cdot 10^{6} + 1200 \cdot 20$

Step 2.2.3

Multiply $1200$ by $20$ .

$4.2 \cdot 10^{6} + 24000$

Step 3

Convert $24000$ to scientific notation.

$4.2 \cdot 10^{6} + 2.4 \cdot 10^{4}$

Step 4

Move the decimal point in $2.4$ to the left by $2$ places and increase the power of $10^{4}$ by $2$ .

$4.2 \cdot 10^{6} + 0.024 \cdot 10^{6}$

Step 5

Factor $10^{6}$ out of $4.2 \cdot 10^{6} + 0.024 \cdot 10^{6}$ .

$(4.2 + 0.024) \cdot 10^{6}$

Step 6

Add $4.2$ and $0.024$ .

$4.224 \cdot 10^{6}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$4.224 \cdot 10^{6}$

Expanded Form:

$4224000$