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Chapter 1: Q45. (page 9)

Evaluate each expression ifw=6,x=0.4,y=12, andz=-3

45.5-w2+x

Short Answer

Expert verified

Expression 5-w2+x results into 1.4

Step by step solution

01

- Order of 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 6 for w, and 0.4forx into given expression

5鈭�w2+x=5鈭�62+0.4

03

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then expand the exponent. Then simplify further as shown below

5鈭�62+0.4=鈭�12+0.4=1+0.4=1.4

Thus, value of 5鈭�w2+xis1.4

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