Basic Math Examples

(2.54 \cdot 10^{7} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}

$(2.54 \cdot 10^{7} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}$

Step 1

Move the decimal point in

2.54

$2.54$ to the left by

1

$1$ place and increase the power of

10^{7}

$10^{7}$ by

1

$1$ .

(0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}

$(0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}) \cdot 1.34 \cdot 10^{- 5}$

Step 2

Factor

10^{8}

$10^{8}$ out of

0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}

$0.254 \cdot 10^{8} + 5.34 \cdot 10^{8}$ .

(0.254 + 5.34) \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}

$(0.254 + 5.34) \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}$

Step 3

Simplify the expression.

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Step 3.1

Add

0.254

$0.254$ and

5.34

$5.34$ .

5.594 \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}

$5.594 \cdot 10^{8} \cdot 1.34 \cdot 10^{- 5}$

Step 3.2

Multiply

5.594

$5.594$ by

1.34

$1.34$ .

7.49596 (10^{8} \cdot 10^{- 5})

$7.49596 (10^{8} \cdot 10^{- 5})$

7.49596 (10^{8} \cdot 10^{- 5})

$7.49596 (10^{8} \cdot 10^{- 5})$

Step 4

Multiply

10^{8}

$10^{8}$ by

10^{- 5}

$10^{- 5}$ by adding the exponents.

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Step 4.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

7.49596 \cdot 10^{8 - 5}

$7.49596 \cdot 10^{8 - 5}$

Step 4.2

Subtract

5

$5$ from

8

$8$ .

7.49596 \cdot 10^{3}

$7.49596 \cdot 10^{3}$

7.49596 \cdot 10^{3}

$7.49596 \cdot 10^{3}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

7.49596 \cdot 10^{3}

$7.49596 \cdot 10^{3}$

Expanded Form:

7495.96

$7495.96$