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Chapter 10: Problem 4

Add. Do not use the number line except as a check. $$ 4+(-3) $$

Short Answer

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1

Step by step solution

01

Identify the Numbers

First, identify the two numbers that need to be added together: 4 and -3.
02

Understand Adding a Negative Number

When adding a negative number, it is the same as subtracting its positive counterpart. Therefore, this operation can be rewritten as 4 - 3.
03

Perform the Operation

Subtract 3 from 4. This gives us: 4 - 3 = 1.

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Key Concepts

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

negative numbers
Negative numbers are numbers less than zero, represented with a minus (-) sign. They are essential in understanding numerous mathematical concepts and real-life scenarios, such as temperatures below freezing and depths below sea level.

When working with negative numbers:
  • Negative numbers are always to the left of zero on a number line.
  • Adding a negative number to a positive number is like subtracting its absolute value.
  • Two negative numbers added together result in a more negative number.

For example, in the exercise 4 + (-3), the negative number is -3. Adding -3 to 4 is the same operation as subtracting 3 from 4.
subtraction
Subtraction is one of the basic operations in arithmetic. It involves finding the difference between two numbers.

Some key points about subtraction include:
  • It is the opposite operation of addition.
  • Subtraction of positive numbers becomes simpler when both numbers are positive.
  • Subtraction of negative numbers can be viewed as adding their positive counterparts.

In our exercise 4 + (-3), we convert the addition of a negative number to a subtraction problem: 4 - 3. Understanding this transformation is crucial for simplifying calculations and working effectively with both positive and negative numbers.
basic arithmetic
Basic arithmetic consists of the four fundamental operations: addition, subtraction, multiplication, and division. These operations are essential skills in math.

In the context of the given exercise:
  • Addition: Combining two numbers to get a sum.
  • Subtraction: Finding the difference by removing one number from another.
  • Multiplication and division are less relevant here but are important building blocks for more complex math.

Solving 4 + (-3) requires an understanding of addition and subtraction. Recognize that adding a negative number is like subtracting its positive counterpart. Therefore, 4 + (-3) simplifies to 4 - 3, resulting in 1. Mastering these basic operations aids in tackling more complex math problems.

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