Basic Math Examples

\frac{7.3 \cdot 10^{6} + 2.4 \cdot 10^{7}}{4 \cdot 10^{4}}

$\frac{7.3 \cdot 10^{6} + 2.4 \cdot 10^{7}}{4 \cdot 10^{4}}$

Step 1

Move the decimal point in

7.3

$7.3$ to the left by

1

$1$ place and increase the power of

10^{6}

$10^{6}$ by

1

$1$ .

\frac{0.73 \cdot 10^{7} + 2.4 \cdot 10^{7}}{4 \cdot 10^{4}}

$\frac{0.73 \cdot 10^{7} + 2.4 \cdot 10^{7}}{4 \cdot 10^{4}}$

Step 2

Factor

10^{7}

$10^{7}$ out of

0.73 \cdot 10^{7} + 2.4 \cdot 10^{7}

$0.73 \cdot 10^{7} + 2.4 \cdot 10^{7}$ .

\frac{(0.73 + 2.4) \cdot 10^{7}}{4 \cdot 10^{4}}

$\frac{(0.73 + 2.4) \cdot 10^{7}}{4 \cdot 10^{4}}$

Step 3

Add

0.73

$0.73$ and

2.4

$2.4$ .

\frac{3.13 \cdot 10^{7}}{4 \cdot 10^{4}}

$\frac{3.13 \cdot 10^{7}}{4 \cdot 10^{4}}$

Step 4

Divide using scientific notation.

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Step 4.1

Group coefficients together and exponents together to divide numbers in scientific notation.

(\frac{3.13}{4}) (\frac{10^{7}}{10^{4}})

$(\frac{3.13}{4}) (\frac{10^{7}}{10^{4}})$

Step 4.2

Divide

3.13

$3.13$ by

4

$4$ .

0.7825 \frac{10^{7}}{10^{4}}

$0.7825 \frac{10^{7}}{10^{4}}$

Step 4.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

0.7825 \cdot 10^{7 + 4 \cdot - 1}

$0.7825 \cdot 10^{7 + 4 \cdot - 1}$

Step 4.4

Multiply

4

$4$ by

- 1

$- 1$ .

0.7825 \cdot 10^{7 - 4}

$0.7825 \cdot 10^{7 - 4}$

Step 4.5

Subtract

4

$4$ from

7

$7$ .

0.7825 \cdot 10^{3}

$0.7825 \cdot 10^{3}$

0.7825 \cdot 10^{3}

$0.7825 \cdot 10^{3}$

Step 5

Move the decimal point in

0.7825

$0.7825$ to the right by

1

$1$ place and decrease the power of

10^{3}

$10^{3}$ by

1

$1$ .

7.825 \cdot 10^{2}

$7.825 \cdot 10^{2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

7.825 \cdot 10^{2}

$7.825 \cdot 10^{2}$

Expanded Form:

782.5

$782.5$