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Chapter 1: Problem 43

Find each quotient. \(\frac{-8.8}{2.2}\)

Short Answer

Expert verified
-4

Step by step solution

01

Understand the Problem

You need to find the quotient of \(-8.8\) divided by \(2.2\). Simply put, determine how many times \(2.2\) goes into \(-8.8\).
02

Perform the Division

Divide the numerator \(-8.8\) by the denominator \(2.2\). Calculate \(-8.8 \div 2.2\).
03

Simplify the Division

Perform the division to get \-4\, because \(-8.8 \div 2.2 = -4\).

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Key Concepts

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

quotient
In mathematics, the term quotient is the result you get after dividing one number by another. When you look at the exercise \(\frac{-8.8}{2.2}\), you are essentially asked to find out the quotient of -8.8 divided by 2.2.
The process involves determining how many times 2.2 can 'fit' into -8.8. In our example, the quotient is -4 because when you divide -8.8 by 2.2 evenly, you get -4.
negative division
Negative division might seem tricky at first, but it's simply a division involving a negative number. When one of the numbers involved in a division is negative, the quotient will also be negative.
In our exercise, -8.8 is negative, while 2.2 is positive. So the quotient we calculated -4 is negative.
To make it simpler, remember:
  • Negative 梅 Positive = Negative
  • Positive 梅 Negative = Negative
  • Negative 梅 Negative = Positive
These rules can help you quickly determine the sign of your quotient.
division steps
Understanding the steps in division helps make the process clearer. Let's break down the steps we followed to solve \(\frac{-8.8}{2.2}\):
  • Step 1: Understand the Problem - We need to find how many times 2.2 goes into -8.8.
  • Step 2: Perform the Division - Divide -8.8 by 2.2. You can think of 鈥�8.8 梅 2.2 as a simpler form of the problem.
  • Step 3: Simplify the Division - We calculate that -8.8 divided by 2.2 equals -4.

By following these steps, you not only solve the problem but also understand how to approach similar problems in the future. Breaking down the process can help make division, even with negative numbers, much easier to handle.

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Most popular questions from this chapter

Write a numerical expression for each phrase, and simplify the expression. The product of -9 and \(2,\) added to 9

Use the distributive property to rewrite each expression. $$ 7(z-8) $$

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Use the distributive property to rewrite each expression. $$ -8(r+3) $$

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