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Chapter 1: Q27. (page 18)

Evaluate the expression when x=3,鈥�y=4,鈥塧苍诲z=5

localid="1648720626886" y+(z鈭�1)2

Short Answer

Expert verified

The value of expression is20.

Step by step solution

01

Step-1 – Order of operations

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

Step-2 – Substitute the values

To evaluate the expressiony+(z鈭�1)2 , substitute 4 for y and 5 for z in the given expression, and simplify further using the order of operations as shown below,

y+(z鈭�1)2=4+(5鈭�1)2=4+(4)2=4+16

03

Step-3 – Add the numbers

To simplify further, add the resulting numbers to get

y+(z鈭�1)2=4+(5鈭�1)2=4+(4)2=4+16=20

So, the value of the expression is 20.

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