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Chapter 1: Problem 37

Find the value of each expression. $$ 20-4 \cdot 3+5 $$

Short Answer

Expert verified
9

Step by step solution

01

Perform Multiplication

First, perform the multiplication operation in the expression. In this case, multiply 4 by 3.
02

Subtract the Product from 20

Next, subtract the result of the multiplication (12) from 20.
03

Add 5 to the Result

Finally, add 5 to the result from Step 2.

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Key Concepts

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

Multiplication
Multiplication is a fundamental arithmetic operation. It involves finding the product of two numbers. In our exercise, we have the expression \(20 - 4 \cdot 3 + 5\). To solve this, we first identify the multiplication part. According to the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), multiplication must be performed before addition and subtraction.

In the expression, we see \(4 \cdot 3\). Calculating this, we get 12. So, the expression now becomes \(20 - 12 + 5\). Notice how we simplified the multiplication step first.
Subtraction
After simplifying the multiplication, the next step is subtraction. Subtraction involves finding the difference between two numbers. In our modified expression, \(20 - 12 + 5\), we now perform the subtraction.

We subtract 12 from 20, which provides us with 8. So, now our expression simplifies further to \(8 + 5\). Remember, always perform addition and subtraction from left to right.
Addition
The final step in our expression is addition. Addition is the process of finding the total or the sum by combining two numbers. From our previous step, our expression is simplified to \(8 + 5\). Now, we simply add these two numbers together.

Calculating 8 plus 5, we get 13. Thus, the value of the entire expression \(20 - 4 \cdot 3 + 5\) is 13. By following the order of operations, and breaking down the problem into manageable steps, we can easily find the correct outcome.

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Most popular questions from this chapter

The operation of division is used in divisibility tests. A divisibility test allows us to determine whether a given number is divisible (without remainder) by another number. An integer is divisible by 12 if it is divisible by both 3 and \(4,\) and not otherwise. Show that (a) \(4,253,520\) is divisible by 12 and \((b) 4,249,474\) is not divisible by 12

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. All even integers between \(-18\) and \(4,\) inclusive

To find the average (mean) of a group of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. \(-15,29,8,-6\)

Solve each problem. Marcial Echenique owes \(\$ 679.00\) on his Visa account. He returns three items costing \(\$ 36.89, \$ 29.40,\) and \(\$ 113.55\) and receives credit for these on the account. Next, he makes purchases of \(\$ 135.78\) and \(\$ 412.88\) and two purchases of \(\$ 20.00\) each. He makes a payment of \(\$ 400 .\) He then incurs a finance charge of \(\$ 24.57 .\) How much does he still owe?

Perform each indicated operation. $$ (9-3)-15 $$
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