Question

❤Hello Brainly Friends .❤
Q.1 Show the following numbers on number Line , Draw a separate number line for each Example .
(Number line Number in the attachment)
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Q.2 Explain Comparision of rational Numbers in 40 words .
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Answer 1

Your Answer:

For number lines please refer attachment.

The scale is provided in the attachment only.

Now moving to the second Question.

Explain Comparison of Rational numbers.

Generally comparison of Rational numbers are done to find which number is greater and which number is smaller. If the rational number is in the form of Fractions, then we have to equalize their denominator to compare them that is equal to the LCM of their denominator.

How we compare the rational numbers of equal denominator.

It's bit simple from here, the bigger numerator means the bigger number. If the numerator increase the value of whole number increase. If the numerator decrease the whole number decrease.

Answer 2

❇ $\Large{ \rm{ \underline{ \underline{ \purple{ Rational \: no.s \: in \: number \: line}}}}}$

A) The first rational no. given is 13/10 which can be written as 1.3, which lies between 1 and 2. First of all we have to divide the gap between 1 and 2 into 10 equal parts. They will represent 1.1, 1.2, 1.3 so on. Then mark the third part from 1 to 2(left to right) i.e. 1.3

✏ Refer to attachment -1)

B) The second rational no. given is -17/10 which can be written as -1.7 which lies between -1 and -2. First of all we have to divide the gap between -1 and -2 into ten equal parts. They will represent -1.1, -1.2 and so on. Then mark the 7th part that is -1.7 from -1 to -2, right to left.

✏ Refer to attachment -2)

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❇ $\Large{ \rm{ \underline{ \underline{ \purple{Comparison \: of \: rational \: no.s}}}}}$

The Comparison of rationals no.s is important when we solving the questions of Rational numbers. The rational numbers are the no.s that can be represented in a number line, hence it includes fractions, integers etc. The number which comes first in the number line is smaller than the number that comes later. A number in left is smaller than one in right.

• The comparison between integers is simply done by their positions in number line. Like 1 < 2, 5 < 7, because 1, and 5 comes earlier than 2 and 7 respectively. But this is just the opposite for negative integers. -2 < -1 because -2 comes earlier than -1.
• Similarly, when we are comparing fractions, we generally try to convert into decimals so that we can predict their positions, or else we can compare the denominator when numerator is same for both. Lesser the denominator, more is the value of fraction. This is opposite for negative fractions.

✏When we are given with two rational number, one positive and one negative, it is obvious that the positive number is greater than negative numbers as negative numbers are less than 0 and positive numbers are more than 0.

⚠️But when both the numbers are either positive or negative then, we should keep in mind the above rules.

Common symbols used during comparison are <, >, and =

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