Chapter 1: Q8. (page 12)

Evaluate each expression.
$\frac{11 - 8}{1 + 7 \cdot 2}$

Short Answer

Expert verified

The value of the expression $\frac{11 - 8}{1 + 7 \cdot 2}$ is $\frac{1}{5}$ .

Step by step solution

Step 1. Order of operations.

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

Evaluate the expressions inside the bracket
Evaluate the powers
Multiply and/or divide
Add and/ or subtract

The evaluation takes place from left to right.

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.

$\frac{11 - 8}{1 + 7 \cdot 2} = \frac{11 - 8}{1 + 14}$

Step 3. Apply subtraction and addition operations.

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

$\begin{array}{l} \frac{11 - 8}{1 + 7 \cdot 2} = \frac{11 - 8}{1 + 14} \\ = \frac{3}{15} \\ = \frac{1}{5} \end{array}$

Therefore, the expression is equal to $\frac{1}{5}$ .

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Evaluate each expression.
$\frac{11 - 8}{1 + 7 \cdot 2}$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Multiply 7 by 2 in the denominator.

Step 3. Apply subtraction and addition operations.

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Evaluate each expression.11−81+7⋅2

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Multiply 7 by 2 in the denominator.

Step 3. Apply subtraction and addition operations.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Evaluate each expression.
$\frac{11 - 8}{1 + 7 \cdot 2}$