Basic Math Examples

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

Step 1

Move the decimal point in $7.3$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

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

Step 2

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

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

Step 3

Add $0.73$ and $2.4$ .

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

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.

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

Step 4.2

Divide $3.13$ by $4$ .

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

Step 4.3

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

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

Step 4.4

Multiply $4$ by $- 1$ .

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

Step 4.5

Subtract $4$ from $7$ .

$0.7825 \cdot 10^{3}$

Step 5

Move the decimal point in $0.7825$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$7.825 \cdot 10^{2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$7.825 \cdot 10^{2}$

Expanded Form:

$782.5$