Simple Arithmetic Problem

Algebra Level 3

Find the value of 1 / ( 1 × ( 1 + ( 1 − ( 1 ) 2 ) 3 ) 4 ) 1/(1\times (1+(1-(1)2)3)4) .

Don't use a calculator.


The answer is -0.125.

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2 solutions

Chew-Seong Cheong
Sep 17, 2019

1 / ( 1 ( 1 + ( 1 − ( 1 ) 2 ) 3 ) 4 ) = 1 1 ( 1 + ( 1 − ( 1 ) 2 ) 3 ) 4 = 1 4 ( 1 + ( 1 − 2 ) 3 ) = 1 4 ( 1 − 3 ) = 1 4 ( − 2 ) = − 1 8 = − 0.125 \begin{aligned} 1/(1(1+(1-(1)2)3)4) & = \frac 1{1(1+(1-(1)2)3)4} \\ & = \frac 1{4(1+(1-2)3)} \\ & = \frac 1{4(1-3)} \\ & = \frac 1{4(-2)} \\ & = - \frac 18 = \boxed{-0.125} \end{aligned}

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How do you align the equal sign? Thanks

Mahdi Raza - 1 year, 4 months ago

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The above LaTex code is as follows:

\ ( \backslash( \begin{align} 1/(1(1+(1-(1)2)3)4) & = \frac 1{1(1+(1-(1)2)3)4}

\ \ \backslash \backslash & = \frac 1{4(1+(1-2)3)}

\ \ \backslash \backslash & = \frac 1{4(1-3)}

\ \ \backslash \backslash & = \frac 1{4(-2)}

\ \ \backslash \backslash & = - \frac 18 = \boxed{-0.125} \end{align} \ ) \backslash)

Chew-Seong Cheong - 1 year, 4 months ago

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Ok, so I have to start with \begin{align}. Thanks!

Mahdi Raza - 1 year, 4 months ago

The given expression equals 1 / ( 1 ∗ 4 ( 1 + 3 ( 1 − 2 ( 1 ) ) ) ) = − 0.125 1/(1*4(1+3(1-2(1))))=-0.125

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