Number Lines. Visualizing Numbers. IntroductionA number line is a visual representation of numbers arranged in order from smallest to largest. It serves as a valuable tool for understanding and comparing numbers, particularly in the realm of integers and rational numbers. In this article, we will explore the concept of number lines, their uses, and how to interpret them.Understanding Number LinesA number line consists of a horizontal line with equally spaced points, each representing a specific number. The center point typically represents zero, while positive numbers are located to the right of zero and negative numbers are located to the left.Example: A simple number line might look like this:Uses of Number LinesNumber lines are used for various mathematical operations and concepts:Ordering numbers: Comparing the relative sizes of numbers.Addition and subtraction: Visualizing the addition and subtraction of integers.Inequalities: Representing inequalities such as "greater than" or "less than."Absolute value: Understanding the distance between a number and zero.Coordinate systems: Plotting points on a coordinate plane.Example: Addition on a Number LineTo add 3 and 2 on a number line:Start at 3 on the number line.Move 2 units to the right (since 2 is positive).You end up at 5.Therefore, 3 + 2 = 5.Example: Subtraction on a Number LineTo subtract 4 from 7 on a number line:Start at 7 on the number line.Move 4 units to the left (since we are subtracting).You end up at 3.Therefore, 7 - 4 = 3.ConclusionNumber lines are a valuable tool for visualizing and understanding numbers. By using number lines, you can gain a deeper understanding of mathematical concepts and solve problems more effectively.EXERCISE 11.0.Plot the following numbers on a number line: [latex]-3, 2frac{1}{2}, 5, -1[/latex]What is the distance between -2 and 4 on the number line?Which number is greater, -5 or 3?If a number is 3 units to the right of -2 on the number line, what is the number?If the midpoint between two numbers on the number line is 0, what can you say about the numbers?Graph the inequality [latex]x > 3[/latex] on a number line.Solve the inequality [latex]-2x + 4 < 10[/latex] and graph the solution on a number line.A thermometer reads [latex]-5°C[/latex]. If the temperature rises by [latex]8°C[/latex], what is the new temperature?Use your understanding of representing fractions on the number line to find the value of P.10. On the number line, [latex]frac{12}{5}[/latex] will lie between which two integers?Submit Answers via Chat e.g Exercise 11.0, then type Answers (Number your Answers).FOR MORE CONTENT!!!Register HERE Now! Pick a course, watch our Videos and take our CBT's.Additional Resources:N/A: https://www.waokmath.com[Image Source]: https://www.freepik.com/ https://www.dewwool.com/
