Calculus Examples

$\frac{7.89 \cdot 10^{19}}{8.93 \cdot 10^{22}} \cdot 100$

Step 1

Divide using scientific notation.

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Step 1.1

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

$(\frac{7.89}{8.93}) (\frac{10^{19}}{10^{22}}) \cdot 100$

Step 1.2

Divide $7.89$ by $8.93$ .

$0.88353863 \frac{10^{19}}{10^{22}} \cdot 100$

Step 1.3

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

$0.88353863 \cdot 10^{19 + 22 \cdot - 1} \cdot 100$

Step 1.4

Multiply $22$ by $- 1$ .

$0.88353863 \cdot 10^{19 - 22} \cdot 100$

Step 1.5

Subtract $22$ from $19$ .

$0.88353863 \cdot 10^{- 3} \cdot 100$

Step 2

Multiply $0.88353863$ by $100$ .

$88.35386338 \cdot 10^{- 3}$

Step 3

Move the decimal point in $88.35386338$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$8.83538633 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$8.83538633 \cdot 10^{- 2}$

Expanded Form:

$0.08835386$