QuestionCalculate the expression $-|2(1.2)-4|$ .

Studdy Solution

STEP 1

Assumptions1. The absolute value function, denoted by $|x|$ , is a function that outputs the non-negative value of $x$ . If $x$ is positive or zero, $|x|$ equals $x$ . If $x$ is negative, $|x|$ equals $-x$ .

STEP 2

First, we need to evaluate the expression inside the absolute value function. This involves multiplying2 by1.2 and then subtracting4.
$2(1.2) -4$

STEP 3

Calculate the result of the multiplication.
$2. -$

STEP 4

Subtract4 from2.4.
$2.4 -4 = -1.6$

STEP 5

Now, we need to find the absolute value of $-1.$ . $|-1.|$

STEP 6

Calculate the absolute value of $-1.6$ .
$|-1.6| =1.6$

STEP 7

Finally, we need to multiply the result by $-1$ because of the negative sign outside the absolute value function.
$-1.6$

STEP 8

Calculate the final result.
$-1.6 = -1.6$ So, $-|2(1.2)-4|$ equals $-1.6$ .

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QuestionCalculate the expression $-|2(1.2)-4|$ .

Studdy Solution

STEP 1

Assumptions1. The absolute value function, denoted by $|x|$ , is a function that outputs the non-negative value of $x$ . If $x$ is positive or zero, $|x|$ equals $x$ . If $x$ is negative, $|x|$ equals $-x$ .

STEP 2

First, we need to evaluate the expression inside the absolute value function. This involves multiplying2 by1.2 and then subtracting4.
$2(1.2) -4$

STEP 3

Calculate the result of the multiplication.
$2. -$

STEP 4

Subtract4 from2.4.
$2.4 -4 = -1.6$

STEP 5

Now, we need to find the absolute value of $-1.$ . $|-1.|$

STEP 6

Calculate the absolute value of $-1.6$ .
$|-1.6| =1.6$

STEP 7

Finally, we need to multiply the result by $-1$ because of the negative sign outside the absolute value function.
$-1.6$

STEP 8

Calculate the final result.
$-1.6 = -1.6$ So, $-|2(1.2)-4|$ equals $-1.6$ .

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QuestionCalculate the expression −∣2(1.2)−4∣-|2(1.2)-4|−∣2(1.2)−4∣.

Studdy Solution

STEP 1

Assumptions1. The absolute value function, denoted by ∣x∣|x|∣x∣, is a function that outputs the non-negative value of xxx. If xxx is positive or zero, ∣x∣|x|∣x∣ equals xxx. If xxx is negative, ∣x∣|x|∣x∣ equals −x-x−x.

STEP 2

First, we need to evaluate the expression inside the absolute value function. This involves multiplying2 by1.2 and then subtracting4.2(1.2)−42(1.2) -42(1.2)−4

STEP 3

Calculate the result of the multiplication.2.−2. -2.−

STEP 4

Subtract4 from2.4.2.4−4=−1.62.4 -4 = -1.62.4−4=−1.6

STEP 5

Now, we need to find the absolute value of −1.-1.−1..∣−1.∣|-1.|∣−1.∣

STEP 6

Calculate the absolute value of −1.6-1.6−1.6.∣−1.6∣=1.6|-1.6| =1.6∣−1.6∣=1.6

STEP 7

Finally, we need to multiply the result by −1-1−1 because of the negative sign outside the absolute value function.−1.6-1.6−1.6

STEP 8

Calculate the final result.−1.6=−1.6-1.6 = -1.6−1.6=−1.6So, −∣2(1.2)−4∣-|2(1.2)-4|−∣2(1.2)−4∣ equals −1.6-1.6−1.6.

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QuestionCalculate the expression $-|2(1.2)-4|$ .

Assumptions1. The absolute value function, denoted by $|x|$ , is a function that outputs the non-negative value of $x$ . If $x$ is positive or zero, $|x|$ equals $x$ . If $x$ is negative, $|x|$ equals $-x$ .

First, we need to evaluate the expression inside the absolute value function. This involves multiplying2 by1.2 and then subtracting4.
$2(1.2) -4$

Calculate the result of the multiplication.
$2. -$

Subtract4 from2.4.
$2.4 -4 = -1.6$

Now, we need to find the absolute value of $-1.$ . $|-1.|$

Calculate the absolute value of $-1.6$ .
$|-1.6| =1.6$

Finally, we need to multiply the result by $-1$ because of the negative sign outside the absolute value function.
$-1.6$

Calculate the final result.
$-1.6 = -1.6$ So, $-|2(1.2)-4|$ equals $-1.6$ .