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Chapter 0: Problem 60

Simplify each expression. $$ 9 \cdot 4-8 \div 2 $$

Short Answer

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32

Step by step solution

01

Simplify Multiplication

First, perform the multiplication part of the expression: \(9 \times 4 = 36\)
02

Simplify Division

Next, perform the division part of the expression: \(8 \div 2 = 4\)
03

Subtract the Results

Finally, subtract the result of the division from the result of the multiplication: \(36 - 4 = 32\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Simplify Expressions
When working with mathematical expressions, the goal is often to simplify them. Simplifying means making the expression as straightforward as possible, while still keeping its value the same. To do this efficiently, we follow the rules of the Order of Operations.
Multiplication and Division
According to the Order of Operations (PEMDAS/BODMAS), multiplication and division should be performed from left to right, before addition and subtraction. In the given exercise:
  • First, we handle the multiplication: \( 9 \times 4 = 36 \)
  • Next, we handle the division: \( 8 \div 2 = 4 \)
Following this sequence ensures consistency and accuracy.
Step by Step Solution
It's important to break down the expression into manageable steps:
  • Step 1: Start with multiplication. We calculate \( 9 \times 4 = 36 \)
  • Step 2: Next, perform the division. We have \( 8 \div 2 = 4 \)
  • Step 3: Finally, subtract the result of the division from the result of the multiplication: \( 36 - 4 = 32 \)
Following these steps helps simplify the expression efficiently.

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Most popular questions from this chapter

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. See Example 11. $$ \frac{1}{6} $$

The distributive property can be used to mentally perform calculations. $$\begin{array}{l}38 \cdot 17+38 \cdot 3 \\\=38(17+3) \\\=38(20) \\\=760\end{array} $$Use the distributive property to calculate each value mentally. $$ 58 \cdot \frac{3}{2}-8 \cdot \frac{3}{2} $$

Simplify each expression. $$ \frac{(-9+\sqrt{16})-3^{2}}{-6-1} $$

Simplify each inequality if needed. Then determine whether the statement is true or false. $$ -6<7+3 $$

Use an inequality symbol to write each statement. $$ 5+14 \text { is greater than or equal to } 19 $$
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