/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 Simplify the following problems.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 11

Simplify the following problems. $$ 4+(-6) $$

Short Answer

Expert verified
Question: Simplify the expression 4 + (-6). Answer: -2

Step by step solution

01

Rewrite the expression as a subtraction problem

We can rewrite the given expression as a subtraction problem by changing the addition of a negative number to subtraction. $$ 4 + (-6) = 4 - 6 $$
02

Subtract to simplify the expression

Now we will find the difference between the two numbers. $$ 4 - 6 = -2 $$ So the simplified result of the given expression is: $$ 4 + (-6) = -2 $$

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Negative Numbers
Negative numbers are numbers that are less than zero, and they are represented with a minus sign (-). They are important in math because they help us express values below zero, such as temperatures or financial debts. Negative numbers can sometimes seem tricky, but they become easier to understand with practice.

When working with negative numbers, it's important to remember:
  • A negative number + a positive number = subtraction, depending on magnitude.
  • A negative number - a positive number means you're subtracting more from a debt or loss.
  • Adding two negative numbers results in a more negative number.
In problems like the one given, where the operation involves both positive and negative numbers, it helps to rewrite it for clarity. This brings us to subtraction, which closely connects to negative numbers.
Subtraction
Subtraction is one of the basic arithmetic operations where you take a number away from another. In general, subtraction is the process of finding the difference between two numbers. Understanding subtraction becomes essential when you're working with both positive and negative numbers.

When you have a problem like "4 + (-6)", you can convert it into a simpler form:

  • In our problem, "4 + (-6)" can be rewritten as "4 - 6".
  • This conversion helps us see that it鈥檚 basically a subtraction that results in a difference.
Handling subtraction in practical terms can be like adjusting balances, where losing more (negative) than you have (positive) will result in a deficit or negative number. Here, the outcome is (-2) because six is more than four, and you end up with a negative difference.
Simplification
Simplification is the process of making a math expression easier to understand or solve by condensing it into a single value or a simpler form. It's like cleaning up a messy problem to find the core answer. In the original exercise, this involved two steps: rewriting and then computing the answer.

To simplify, you typically:
  • Identify complicated parts of the expression (like mixed signs).
  • Rewrite the expression in a simpler equivalent form.
  • Perform standard arithmetic operations, like subtraction, to reach a concise answer.
By simplifying "4 + (-6)" to "4 - 6", you allow for an easier calculation. This process not only clears any confusion around negative numbers but also makes the solving process more straightforward. The ultimate aim of simplification is to present the solution in a neat and understandable manner, delivering clear results.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the value of each of the following expressions. $$ -3(1-6) $$

Convert the numbers used in the following problems to scientific notation. Mount Kilimanjaro is the highest mountain in Africa. It is 5890 meters high.

Perform the following operations. $$ \left(2 \times 10^{-1}\right)\left(3 \times 10^{-5}\right) $$

Perform the following operations. $$ \left(4 \times 10^{2}\right)\left(8 \times 10^{6}\right) $$

Perform the following operations. $$ \left(2 \times 10^{4}\right)\left(3 \times 10^{5}\right) $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.