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Chapter 0: Problem 88

For exercises 15-100, evaluate. $$ -8-20 \div 4 $$

Short Answer

Expert verified
-13

Step by step solution

01

Division

First, perform the division within the expression. Calculate the result of dividing 20 by 4: \(\frac{20}{4} = 5\)
02

Subtraction

Next, substitute the result of the division back into the equation and perform the subtraction: -8 - 5 -8 - 5 = -13

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Key Concepts

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

Division
In mathematics, division is one of the four basic arithmetic operations. It involves splitting a number (the dividend) into equal parts. The result is called the quotient. For instance, in the exercise given, 20 is divided by 4.

Let's break it down: \(\frac{20}{4} = 5\). Here, 20 is the dividend and 4 is the divisor. When we divide 20 by 4, we end up with 5, which is the quotient.

Always ensure to perform division before moving on to other operations, as per the order of operations (PEMDAS/BODMAS).
Subtraction
Subtraction is another fundamental arithmetic operation. It is essentially finding the difference between two numbers. In our problem, after performing the division, we are left with -8 - 5.

To visually understand this:
- Start at -8 on a number line.
- Move 5 units to the left.
This gives us -13.

Subtraction rules are pretty straightforward: if you subtract a positive number from another, you move left on the number line.
Evaluating Expressions
Evaluating expressions means calculating their values step by step, following the order of operations.

In our example, the expression is -8 - 20 梅 4. To evaluate:
  • First, handle the division: \(\frac{20}{4} = 5\)
  • Substitute back into the expression: -8 - 5
  • Finally, perform the subtraction: -8 - 5 = -13

The key is always to follow the correct sequence. For our operations, it's crucial to start with division and then proceed to subtraction.

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