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Popular >

simplify 0.1111*2^{-3}

Solution

simplify

0.1111 \cdot 2^{- 3}

Solution

\frac{1111}{80000}

+1

Decimal Notation

0.0138875

Solution steps

0.1111 \cdot 2^{- 3}

Apply exponent rule:

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

2^{- 3} = \frac{1}{2 ^{3}}

= 0.1111 \cdot \frac{1}{2 ^{3}}

2^{3} = 8

= 0.1111 \cdot \frac{1}{8}

0.1111 = \frac{1111}{10000}

= \frac{1111}{10000} \cdot \frac{1}{8}

\frac{1111}{10000} \cdot \frac{1}{8} = \frac{1111}{80000}

= \frac{1111}{80000}

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Frequently Asked Questions (FAQ)

What is 0.1111*2^{-3} ?
The solution to 0.1111*2^{-3} is 1111/80000