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Chapter 1: Problem 53

Perform each operation. SEE EXAMPLE 4. (OBJECTIVE 2 ) $$\frac{80}{-20}$$

Short Answer

Expert verified
-4

Step by step solution

01

Identify the Operation

The problem is asking for a division operation. The expression \(\frac{80}{-20}\) denotes 80 divided by -20.
02

Perform the Division

Perform the division operation by dividing 80 by -20 to get \(-4\) .
03

Write down the Answer

After performing the operation, \(-4\) is the answer.

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Key Concepts

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

Negative Numbers
In mathematics, negative numbers are numbers that are less than zero. They are often found in real-world situations, such as temperatures below freezing or money owed (debt). Negative numbers are represented with a minus sign "-".

To handle negative numbers in arithmetic, remember these key points:
  • Adding a negative is the same as subtracting.
  • Subtracting a negative is the same as adding.
  • Multiplying or dividing a positive by a negative results in a negative.
  • Multiplying or dividing two negative numbers yields a positive result.
These simple rules help us predict the sign of an answer when performing arithmetic operations with negative numbers. Understanding these concepts is crucial before diving into more complex algebraic expressions.
Basic Operations
Basic operations in arithmetic include addition, subtraction, multiplication, and division. These are the foundational skills required for tackling any algebraic problems.

Among these, division is a little more complex. It involves determining how many times one number is contained within another.

When dealing with basic operations, consider the following:
  • Addition combines numbers to find a sum.
  • Subtraction finds the difference between numbers.
  • Multiplication is repeated addition.
  • Division examines how one number can be split into equal parts of another.
These basic operations form the pillars upon which more advanced mathematical concepts are built. Mastery of these helps in understanding and solving complex problems.
Arithmetic Division
Arithmetic division is the process where we determine how many times a divisor can fit into a dividend. It鈥檚 often represented by the symbol "梅" or a fraction line in expressions like \(\frac{a}{b}\). Remember the following when performing division:

  • Ensure that the divisor is not zero, as division by zero is undefined.
  • The result can be a whole number or a decimal, depending on whether the dividend is evenly divisible by the divisor.
  • If dealing with negative numbers, recall that dividing a positive by a negative gives a negative result, and dividing two negatives gives a positive.
For example, in the expression \(\frac{80}{-20}\), 80 is divided by -20, resulting in \(-4\). This highlights an important rule: dividing a positive number by a negative results in a negative quotient. Practicing division with both positive and negative numbers is key to mastering arithmetic division.

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Most popular questions from this chapter

Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction. $$8 \div 2 \geq 9 \div 3$$

Suppose there were no numbers other than the odd integers. \(\cdot\) Would the closure property for addition still be true? \(\cdot\) Would the closure property for multiplication still be true? \(\cdot\) Would there still be an identity for addition? \(\cdot\) Would there still be an identity for multiplication?

Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction. $$3 \leq 7$$

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Explain how you would decide which of two decimal fractions is the larger.
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