Basic Math Examples

$(9.89 \cdot \frac{0.08206}{1} \cdot 298.7) \cdot (\frac{1}{(0.764 - 9.89) \cdot 3.978 \cdot 10^{- 2}})$

Step 1

Multiply $0.764 - 9.89$ by $3.978$ .

$9.89 \cdot \frac{0.08206}{1} \cdot 298.7 \cdot \frac{1}{- 36.303228 \cdot 10^{- 2}}$

Step 2

Move the decimal point in $- 36.303228$ to the left by $1$ place and increase the power of $10^{- 2}$ by $1$ .

$9.89 \cdot \frac{0.08206}{1} \cdot 298.7 \cdot \frac{1}{- 3.6303228 \cdot 10^{- 1}}$

Step 3

Divide $0.08206$ by $1$ .

$9.89 \cdot 0.08206 \cdot 298.7 \cdot \frac{1}{- 3.6303228 \cdot 10^{- 1}}$

Step 4

Multiply $9.89 \cdot 0.08206 \cdot 298.7$ .

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Step 4.1

Multiply $9.89$ by $0.08206$ .

$0.8115734 \cdot 298.7 \cdot \frac{1}{- 3.6303228 \cdot 10^{- 1}}$

Step 4.2

Multiply $0.8115734$ by $298.7$ .

$242.41697458 \cdot \frac{1}{- 3.6303228 \cdot 10^{- 1}}$

Step 5

Divide using scientific notation.

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Step 5.1

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

$242.41697458 \cdot ((\frac{1}{- 3.6303228}) (\frac{1}{10^{- 1}}))$

Step 5.2

Divide $1$ by $- 3.6303228$ .

$242.41697458 \cdot (- 0.27545759 \frac{1}{10^{- 1}})$

Step 5.3

Move $10^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$242.41697458 \cdot (- 0.27545759 \cdot 10)$

Step 6

Multiply $242.41697458 (- 0.27545759 \cdot 10)$ .

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Step 6.1

Multiply $- 0.27545759$ by $10$ .

$242.41697458 \cdot - 2.75457598$

Step 6.2

Multiply $242.41697458$ by $- 2.75457598$ .

$- 667.75597635$