Finite Math Examples

$\frac{1.2}{4.8} \cdot \frac{10^{- 1}}{10^{- 4}}$

Step 1

Combine.

$\frac{1.2 \cdot 10^{- 1}}{4.8 \cdot 10^{- 4}}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{1.2}{4.8}) (\frac{10^{- 1}}{10^{- 4}})$

Step 2.2

Divide $1.2$ by $4.8$ .

$0.25 \frac{10^{- 1}}{10^{- 4}}$

Step 2.3

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

$0.25 \cdot 10^{- 1 - 4 \cdot - 1}$

Step 2.4

Multiply $- 4$ by $- 1$ .

$0.25 \cdot 10^{- 1 + 4}$

Step 2.5

Add $- 1$ and $4$ .

$0.25 \cdot 10^{3}$

Step 3

Move the decimal point in $0.25$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$2.5 \cdot 10^{2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$2.5 \cdot 10^{2}$

Expanded Form:

$250$