Basic Math Examples

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

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

Step 1

Multiply.

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Step 1.1

Multiply

200

$200$ by

70

$70$ .

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

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

Step 1.2

Multiply

14000

$14000$ by

3

$3$ .

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

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

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

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

Step 2

Simplify each term.

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Step 2.1

Move the decimal point in

42000

$42000$ to the left by

4

$4$ places and increase the power of

10^{2}

$10^{2}$ by

4

$4$ .

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

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

Step 2.2

Multiply

200 \cdot 2 \cdot 3 \cdot 20

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

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Step 2.2.1

Multiply

200

$200$ by

2

$2$ .

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

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

Step 2.2.2

Multiply

400

$400$ by

3

$3$ .

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

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

Step 2.2.3

Multiply

1200

$1200$ by

20

$20$ .

4.2 \cdot 10^{6} + 24000

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

4.2 \cdot 10^{6} + 24000

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

4.2 \cdot 10^{6} + 24000

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

Step 3

Convert

24000

$24000$ to scientific notation.

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

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

Step 4

Move the decimal point in

2.4

$2.4$ to the left by

2

$2$ places and increase the power of

10^{4}

$10^{4}$ by

2

$2$ .

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

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

Step 5

Factor

10^{6}

$10^{6}$ out of

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

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

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

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

Step 6

Add

4.2

$4.2$ and

0.024

$0.024$ .

4.224 \cdot 10^{6}

$4.224 \cdot 10^{6}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

4.224 \cdot 10^{6}

$4.224 \cdot 10^{6}$

Expanded Form:

4224000

$4224000$