What is (8.02*10^{-3})(250) ?

The solution to (8.02*10^{-3})(250) is 401/200

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simplify (8.02*10^{-3})(250)

simplify

(8.02 \cdot 1 0^{- 3}) (250)

\frac{401}{200}

Decimal Notation

2.005

Solution steps

(8.02 \cdot 1 0^{- 3}) (250)

Apply rule:

(a) = a

(250) = 250

= 8.02 \cdot 1 0^{- 3} \cdot 250

Multiply the numbers:

8.02 \cdot 250 = 2005

= 2005 \cdot 1 0^{- 3}

= 1 0^{- 3} \cdot 2005

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= \frac{1}{1 0 ^{3}} \cdot 2005

1 0^{3} = 1000

= \frac{1}{1000} \cdot 2005

\frac{1}{1000} \cdot 2005 = \frac{401}{200}

= \frac{401}{200}

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