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Chapter 2: Q21. (page 106)

Evaluate each expression if a=鈭�2,b=鈭�3,c=2, x=2.1,y=3, and z=鈭�4.2.

鈭�4c鈭�3+2z鈭�a

Short Answer

Expert verified

The expression鈭�4c鈭�3+2z鈭�a is equal to 0.4.

Step by step solution

01

Step-1. Define absolute value expression.

Absolute values define an upper and lower range in which a value must lie.

02

Step-2. Substitute the variables.

In order to evaluate the expression 鈭�4c鈭�3+2z鈭�a substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

鈭�4c鈭�3+2z鈭�a=鈭�42鈭�3+2鈭�4.2鈭�鈭�2

03

Step-3. Simplify the expression.

Solve the expression as per order of operations.

鈭�4c鈭�3+2z鈭�a=鈭�42鈭�3+2鈭�4.2鈭�鈭�2=鈭�42鈭�3+2鈭�4.2+2=鈭�4鈭�1+2鈭�2.2=鈭�4脳1+2脳2.2=鈭�4+4.4=0.4

Therefore, the value expression is 0.4.

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