represent (-4/5) on number line
Answers
Answer:
Procedure to Represent the Rational Number on the Number Line:
Draw a line and locate the point ‘0’. This point is known as the origin.
Rational numbers
If the given number is positive, mark it on the right side of the origin. If it is a negative number, mark it on the left side of zero.
Divide each unit into the values which are equal to the denominator of the fraction. For example: representing 4/5 on the number line, you need to divide each unit into 5 subunits.
Eg:
Represent 2/3 on a number line.
Solution:
2/3 is a positive rational number, and it is known that 2/3 is less than 1 and greater than 0. Therefore, 2/3 lies between 0 and 1 on the number line.
Here, the denominator is 3 so we will divide each unit length into 3 subunits between 0 and 1.
Rational numbers
Rational Number Representation Using Successive Magnification
We can represent this decimal expansion on the number line through the process of successive magnification.
We know every rational number can be expressed as decimal expansions. Here,
⅔= 0.6666666666666667
Step 1: Locate 0.6 on the number line. 0.6 lies between 0 and 1 on the number line.
Step 2: Now, represent 0.66 on the number line. As we know 0.66 lies between 0.60 and 0.70 on the number line.
Step 3: Finally, represent 0.666 on the number line. The value of 0.666 lies between 0.66 and 0.67.
By magnifying the numbers between two other numbers on the number line, we can represent the decimal expansion of rational numbers easily.
