1 3 Real Numbers And The Number Line Pptx Slideshare

Bonisiwe Shabane

-Oct 31, 2025, 1:56 AM

1 3 real numbers and the number line pptx slideshare

Learn to classify, graph, compare, find additive inverses, and absolute values of real numbers. Interpret numbers from data tables. Real Numbers and the Number Line Classify numbers and graph them on number lines. Tell which of two real numbers is less than the other. Find the additive inverse of a real number. Find the absolute value of a real number.

Interpret the meanings of real numbers from a table of data. 1.4 2 3 4 5 Classify numbers and graph them on number lines. Objective 1 Slide 1.4-3 Natural numbers (or counting numbers) and whole numbers, along with many others, can be represented on a number line like the one below. Classify numbers and graph them on a number line.

We draw a number line by choosing any point on the line and labeling it 0. Then we choose any point to the right of 0 and label it 1. The distance between 0 and 1 gives a unit of measure used to locate, and then label other points. The “arrowhead” is used to indicate the positive direction on a number line. Slide 1.4-4 The natural numbers are located to the right of 0 on the number line.

For each natural number, we can place a corresponding number to the left of 0. Each is the opposite,or negative,of a natural number. Classify numbers and graph them on a number line. (cont’d) The natural numbers, their opposites, and 0 form a new set of numbers called the integers. { . .

. , −3, −2, −1, 0, 1, 2, 3, . . . } Positive numbersand negative numbersare called signed numbers. The three dots ( … ) show that the list of numbers continues in the same way indefinitely.

Slide 1.4-5 Here is your free content for this lesson! 1-3 Assignment - Real Numbers and the Number Line 1-3 Bell Work - Real Numbers and the Number Line 1-3 Exit Quiz - Real Numbers and the Number Line 1-3 Guide Notes SE - Real Numbers and the Number Line

Real Numbers are continuous quantities that can represent a distance along a line, as Real numbers include both rational and irrational numbers. Rational numbers occupy the points at some finite distance and irrational numbers fill the gap between them, making them together to complete the real line. So, in other words, real numbers are those numbers that can be plotted on the real line. Real numbers include rational numbers including positive and negative integers, fractions, and irrational numbers. Basically, any number that we can think of is a real number. Examples of Rational Numbers are 2, 3.5, 6/7, √5, 0.35, -67, \pi, e, etc.

In this article, we will discuss real numbers in detail, including their properties, representation on the number line, and decimal expansion and we will also check if 0 is a real number. Real numbers are all the numbers that can be found on the number line. This includes both rational numbers (like 7, -3, 0.5, and 4/3) and irrational numbers (like √2) . They encompass integers, fractions, and decimals, representing a continuous, unbroken set of values. The collection of all rational numbers contains all the other numbers like natural numbers, integers, rational as well as irrational. Some examples of real numbers are 3 (a whole number), -1 (an integer), 1/2 (a rational number), √2 (an irrational number), π (an irrational number), 2.5 (a decimal number), etc.

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. , −3, −2, −1, 0, 1, 2, 3, .

. , −3, −2, −1, 0, 1, 2, 3, . . . } Positive numbersand negative numbersare called signed numbers. The three dots ( … ) show that the list of numbers continues in the same way indefinitely.