How do you evaluate $| - 4 | \times \frac{| - 12 |}{3} \times - \frac{| 3 |}{| 6 |}$ $abs(-4)timesabs(-12)/3times-abs3/abs6$ ?

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How do you evaluate $| - 4 | \times \frac{| - 12 |}{3} \times - \frac{| 3 |}{| 6 |}$ $abs(-4)timesabs(-12)/3times-abs3/abs6$ ?

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Answer 1 · 2016-11-27T21:12:47

$- 8$ $-8$

Explanation:

The $absolute value function$ $color(blue)"absolute value function"$ is always positive.

The reason being that it denotes the distance a value is from zero and distance is always positive.

$Thus | - 4 | = | 4 | = 4$ $" Thus" |-4|=|4|=4$ as 4 and - 4 are both 4 units from zero.

$\Rightarrow | - 4 | \times \frac{| - 12 |}{3} \times - \frac{| 3 |}{| 6 |} can be expressed as$ $rArr|-4|xx|-12|/3xx-|3|/|6|" can be expressed as"$

$4 \times \frac{12}{3} \times - \frac{3}{6}$ $4xx12/3xx-3/6$

$=4xx4xx-1/2=cancel(16)^8xx-1/cancel(2)^1=-8$

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How do you evaluate $| - 4 | \times \frac{| - 12 |}{3} \times - \frac{| 3 |}{| 6 |}$ $abs(-4)timesabs(-12)/3times-abs3/abs6$ ?

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