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Chapter 1: Q8. (page 12)

Evaluate each expression.

11鈭�81+7鈰�2

Short Answer

Expert verified

The value of the expression 11鈭�81+7鈰�2is 15.

Step by step solution

01

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

  1. Evaluate the expressions inside the bracket
  2. Evaluate the powers
  3. Multiply and/or divide
  4. Add and/ or subtract

The evaluation takes place from left to right.

02

Step 2. Multiply 7 by 2 in the denominator.

As per the order of operations, first, multiply 7 by 2 which is in the denominator.

11鈭�81+7鈰�2=11鈭�81+14

03

Step 3. Apply subtraction and addition operations.

Subtract 8 from 11 in the numerator and add 1 and 14 in the denominator simultaneously.

11鈭�81+7鈰�2=11鈭�81+14=315=15

Therefore, the expression is equal to 15.

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