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Chapter 1: Q17. (page 18)

Evaluate the expression.

72.5+312-7.

Short Answer

Expert verified

The value of expression is122.5.

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 – Simplify expression in grouping symbol

The expression is provided as72.5+312-7.

To evaluate the expression, first simplify the expression inside parenthesis and then multiply with 3. And then add the resulting number with 2.5 as shown below

7[2.5+3(12鈭�7)]=7[2.5+3(5)]=7[2.5+15]=7[17.5]

03

Step-3 – Multiply the numbers

To simplify further, multiply the resulting numbers to get

7[2.5+3(12鈭�7)]=7[17.5]=122.5

So, the value of the expression is 122.5.

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