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Chapter 1: Q81. (page 18)

Evaluate each expression if a=-5,b=0.25,c=12, andd=4.

81. b+3a+d3

Short Answer

Expert verified

Expression b+3a+d3 results into -2.75

Step by step solution

01

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

- Substitute given values

Substitute -5for a, 0.25 for b and 4 for d into given expression

b+3a+d3=0.25+3-5+43

03

- Simplify 0.25+3-5+43

To evaluate, firstly simplify parentheses then expand exponent then perform multiplication and finally addition from left to right to get

0.25+3鈭�5+43=0.25+3鈭�13=0.25+3鈭�1=0.25鈭�3=鈭�2.75

Thus, b+3a+d3=-2.75

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