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Chapter 5: Problem 40

Divide. $$\frac{95.89}{-2.23}$$

Short Answer

Expert verified
-43.00

Step by step solution

01

Identify the Numbers

The numerator is 95.89 and the denominator is -2.23.
02

Set Up the Division

Write the division operation as \( \frac{95.89}{-2.23} \).
03

Calculate the Division

Perform the division: 95.89 divided by -2.23.
04

Determine the Sign

A positive number divided by a negative number results in a negative quotient.
05

Simplify the Result

The division results in approximately -43.00.

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Key Concepts

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

Numerator and Denominator
In any division problem, understanding the numerator and denominator is essential. The numerator is the number that is being divided, which in this case is 95.89. The denominator is the number by which the numerator is divided, here it is -2.23. Knowing which number is which helps to set up the division correctly. Think of the numerator as the part you want to split and the denominator as the part you split by. This basic understanding is crucial for solving division problems.
Negative Quotient
When dividing two numbers, the sign of the quotient (result) is important. If you divide a positive number by a negative number, or vice versa, the result is a negative quotient. For example, with our problem, dividing 95.89 (positive) by -2.23 (negative) results in a negative quotient. Always pay attention to the signs of the numbers you are working with.
  • If both divisor and dividend are positive or both are negative, the quotient is positive.
  • If one is positive and the other negative, the quotient is negative.
Simplifying Results
Simplifying the result of a division problem can make it easier to understand and use. After performing the division, the result might be a long, non-terminating decimal. For our example, dividing 95.89 by -2.23 gives approximately -43.00. This step helps to round or approximate the result for easier comprehension and practicality. Rounded results are often more useful in everyday applications. When simplifying, always ensure that the simplified number is still a close approximation of the actual value.
  • Perform the division calculation precisely.
  • Determine how many decimal places you need for your result.
  • Round the quotient to the desired number of decimal places.

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