A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Numbers on a number line include all sets of numbers namely natural and whole numbers. An example of a set of whole numbers is:(0, 1, 2, 3,4,5,6 …….) whereas the natural number include:1, 2, 3, 4, 5, 6…. A number line is composed of three basic parts.
: a line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero.
In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.
A pictorial representations of numbers evenly marked on a straight line is known as a number line. To mark whole numbers on a number line draw a horizontal line and mark a point on it as . Extend this line towards right direction.
|1.||Definition of Real Numbers|
To mark 7/4; move seven parts on the right-side of zero. To mark -3/4; move three parts on the left-side of zero. To mark -9/4; move nine parts on the left-side of zero.
The number line model preserves the magnitude of a number and shows where it fits among other numbers. … It also provides a strong image for students to work with and is particularly useful for solving subtraction problems.
The number line is featured prominently in the Common Core State Standards, or CCSS. … In Grade 6, the number line is used to define absolute value of a rational number as its distance from 0 on the number line. In Grade 7, the number line is used to represent the addition and subtraction of rational numbers.
Your Answer :- 8/4 = 2 ( As per The Division ). So, We have to Represent 2 on number line.
An important addition to the number line is the number 0, which means nothing, zilch, nada. … Actually, mathematicians have an even more precise labeling of nothing than zero. It’s called the empty set, which is sort of the mathematical version of a box containing nothing.
Also associated with the line is a unit of length. … The origin corresponds to the number 0. A positive number x corresponds to a point x units away from the origin to the right, and a negative number -x corresponds to a point on the line x units away from the origin to the left.
To graph the number 4/3, you mark of increments of “1/3” (thirds: 1/3, 2/3, 3/3, and so on) and put the point at the fourth mark you make.
To represent 1/3 on a number line, we divide the gap between O and A into 3 equal parts. Let T and Q be the points of division. Then, T represents 1/3 and Q represents 2/3, because 2/3 means 2 parts out of 3 equal parts as shown below. By using the same procedure, point O represents 0/3 and point A represents 3/3.
so on Number line,-7/2 is placed in middle of -3 and -4 in left side of zero,because it is a negative Number.
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