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Chapter 1: Q25. (page 30)

Evaluate each expression if a=-5,b=6 and c=2.8

6-3c+7

Short Answer

Expert verified

The absolute value of expression is-9.4

Step by step solution

01

Step1- Order of evaluation

To evaluate any expression involving one operation, follow the below order of operation

  • First replace the algebraic expression inside the grouping symbols like matrix brackets ( ) with numeric expression
  • Perform the multiplication inside the bracket
  • Perform the addition inside the bracket
  • Evaluate the absolute value
  • Perform the subtraction from left to right
02

Step2- Simplify the expression inside grouping symbol

To evaluate the value of given expression, simplify the expression inside the bracket and then find the absolute value of expression as shown below

6鈭�|3c+7|=6鈭�|3脳2.8+7|=6鈭�|8.4+7|=6鈭�|15.4|

03

Step3- Find the absolute value of expression inside the bracket and subtract

The absolute value of 15.4=15.4

The solution is role="math" localid="1645541473647" 6-15.4=-9.4.

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