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Chapter 1: Q27. (page 30)

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

3a-10+2a

Short Answer

Expert verified

The absolute value of expression is55.

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 subtraction inside first pair of bracket
  • Perform the multiplication inside the second pair of bracket
  • Evaluate the absolute values of the pair
  • Perform the addition from left to right
02

Step2- Simplify the expression inside grouping symbol

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

3|a鈭�10|+|2a|=3|鈭�5鈭�10|+|2脳鈭�5|=3|鈭�15|+|鈭�10|

03

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

The absolute value of -15=15 and -10=10

The solution is,

3脳15+10=45+10=55

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