Algebra Examples

$\frac{0.06 \cdot 0.003}{2000 \cdot (3 \cdot 10^{2})}$

Step 1

Multiply $2000$ by $3$ .

$\frac{0.06 \cdot 0.003}{6000 \cdot 10^{2}}$

Step 2

Multiply $0.06$ by $0.003$ .

$\frac{0.00018}{6000 \cdot 10^{2}}$

Step 3

Divide using scientific notation.

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Step 3.1

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

$(\frac{0.00018}{6000}) (\frac{1}{10^{2}})$

Step 3.2

Divide $0.00018$ by $6000$ .

$0.00000003 \frac{1}{10^{2}}$

Step 3.3

Move $10^{2}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$0.00000003 \cdot 10^{- 2}$

Step 4

Move the decimal point in $0.00000003$ to the right by $8$ places and decrease the power of $10^{- 2}$ by $8$ .

$3 \cdot 10^{- 10}$