Problem 16
Question
On the number line, which number is: 5 units to the right of \(-3 ?\)
Step-by-Step Solution
Verified Answer
The number that is 5 units to the right of -3 on the number line is 2.
1Step 1: Understand the Question
A number line is a line where each point is a real number. The numbers increase towards right and decrease towards left when we start from zero. A unit move to the right of a number implies an addition of 1 to the number. Similarly, a unit move to left of a number implies a subtraction of 1 from the number.
2Step 2: Translate the Problem into Math
'5 units to the right of -3' means that we have to add 5 to -3. The operation can be formulated as follows: -3 + 5.
3Step 3: Compute the Operation
The operation -3 + 5 = 2
Key Concepts
Understanding AdditionExploring Real NumbersIntroduction to Arithmetic Operations
Understanding Addition
Addition is the process of bringing two or more amounts together to get a total sum. On a number line, this means moving to the right. Each step represents adding one unit. For example, if you start at
-3 and add 5, you'll move 5 steps to the right.
This movement will bring you to the number 2.
It is important to see how each step on the number line corresponds to an addition. Moving to the left, on the other hand, represents subtraction.
This movement will bring you to the number 2.
It is important to see how each step on the number line corresponds to an addition. Moving to the left, on the other hand, represents subtraction.
- Visualize: Think of addition as a simple forward motion.
- Start Point: Identify your starting number on the number line.
- Movement: Count the steps you move to the right for each addition.
Exploring Real Numbers
Real numbers include all the numbers you can find on the number line. They encompass all the whole numbers, fractions, and decimals.
This means positive numbers, negative numbers, and zero all fall under real numbers. The number line is an excellent tool for understanding how real numbers interact.
When adding real numbers such as moving 5 units to the right of -3, you are seeing the real numbers in action.
This means positive numbers, negative numbers, and zero all fall under real numbers. The number line is an excellent tool for understanding how real numbers interact.
When adding real numbers such as moving 5 units to the right of -3, you are seeing the real numbers in action.
- Includes: Fractions, whole numbers, decimals.
- Negative and positive: Both are on the number line.
- Zero: Serves as the center or the origin.
Introduction to Arithmetic Operations
Arithmetic operations are the basic building blocks of mathematics. The two primary operations are addition and subtraction. Each operation can be visualized and performed on a number line.
When you add, you move to the right. Subtraction means moving to the left. The exercise we looked at involves adding 5 to a number, which is a standard arithmetic operation.
When you add, you move to the right. Subtraction means moving to the left. The exercise we looked at involves adding 5 to a number, which is a standard arithmetic operation.
- Tools: Number lines help illustrate these concepts.
- Visualize Steps: Seeing additions or subtractions as steps on a number line can clarify abstract concepts.