Basic Math Examples

$\frac{1.33 \cdot 10^{24}}{6.02 \cdot 10^{23}}$

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.

$(\frac{1.33}{6.02}) (\frac{10^{24}}{10^{23}})$

Step 1.2

Divide $1.33$ by $6.02$ .

$0.22093023 \frac{10^{24}}{10^{23}}$

Step 1.3

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

$0.22093023 \cdot 10^{24 + 23 \cdot - 1}$

Step 1.4

Multiply $23$ by $- 1$ .

$0.22093023 \cdot 10^{24 - 23}$

Step 1.5

Subtract $23$ from $24$ .

$0.22093023 \cdot 10^{1}$

Step 2

Move the decimal point in $0.22093023$ to the right by $1$ place and decrease the power of $10^{1}$ by $1$ .

$2.20930232 \cdot 10^{0}$

Step 3

Convert $2.20930232 \cdot 10^{0}$ from scientific notation.

$2.20930232$