Chapter 1: Q21. (page 13)

Evaluate each expression.
$24 \div 6 + 2^{3} \cdot 4$

Short Answer

Expert verified

The value of the expression $24 \div 6 + 2^{3} \cdot 4$ is 36.

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. Evaluate power.

$24 \div 6 + 2^{3} \cdot 4 = 24 \div 6 + 8 \cdot 4$

Step 3. Divide 24 by 6.

As per the order of operations, now divide 24 by 6.

$24 \div 6 + 2^{3} \cdot 4 = 4 + 8 \cdot 4$

Step 4. Multiply 8 by 4.

As per the order of operations, now multiply 8 by 4.

$24 \div 6 + 2^{3} \cdot 4 = 4 + 32$

Step 5. Apply addition operation.

Add 4 and 32.

$24 \div 6 + 2^{3} \cdot 4 = 36$

Therefore, the expression is equal to 36.

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Evaluate each expression.
$24 \div 6 + 2^{3} \cdot 4$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate power.

Step 3. Divide 24 by 6.

Step 4. Multiply 8 by 4.

Step 5. Apply addition operation.

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Evaluate each expression.24÷6+23⋅4

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate power.

Step 3. Divide 24 by 6.

Step 4. Multiply 8 by 4.

Step 5. Apply addition operation.

One App. One Place for Learning.

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Evaluate each expression.
$24 \div 6 + 2^{3} \cdot 4$