Math

QuestionEvaluate 32r732|r|-7 for r=2r=-2.

Studdy Solution

STEP 1

Assumptions1. The variable rr is equal to - . The absolute value of a number is its distance from zero on the number line, which is always positive or zero.

STEP 2

First, we need to substitute the value of rr into the expression.
32r7=322732|r|-7=32|-2|-7

STEP 3

Next, we calculate the absolute value of 2-2. The absolute value of a number is its distance from zero on the number line, which is always positive or zero. Therefore, 2=2|-2|=2.
3227=322732|-2|-7=32*2-7

STEP 4

Now, we perform the multiplication operation.
3227=64732*2-7=64-7

STEP 5

Finally, we subtract7 from64 to evaluate the expression.
647=5764-7=57So, the expression 32r732|r|-7 evaluates to57 when r=2r=-2.

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