RD Sharma Class 7 ex 4.6 Solutions Chapter 4 Rational Numbers

In this chapter, we provide RD Sharma Class 7 ex 4.6 Solutions Chapter 4 Rational numbers for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 7 ex 4.6 Solutions Chapter 4 Rational Numbers Maths pdf, Now you will get step by step solution to each question.

TextbookNCERT
ClassClass 7
SubjectMaths
ChapterChapter 4
Chapter NameRational Numbers
ExerciseEx 4.6

RD Sharma Solutions for Class 7 Chapter 4 Rational Numbers Ex 4.6 Download PDF

Chapter 4: Rational Numbers Exercise – 4.6

Question: 1

Draw the number line and represent the following rational numbers on it:

(i) 2/3

(ii) 3/4

(iii) 3/8

(iv) -5/8

(v) -3/16

(vi) -7/3

(vii) 22/-7

(viii) -31/3

Solution:

Number line and represent the following rational numbers


Question: 2

Which of the two rational numbers in each of the following pairs of rational numbers is greater?

(i) -3/8, 0

(ii) 5/2, 0

(iii) – 4/11, 3/11

(iv) – 7/12, 5/- 8

(v)  4/9, – 3/- 7

(vi) – 5/8, 3/- 4

(vii) 5/9, -3/- 8

(viii)  5/- 8, -7/12

Solution:

(i)  We know that every positive rational number is greater than zero and every negative

 rational number is smaller than zero. Thus, – 3/8 > 0

(ii)  5/2 > 0.Because every positive rational number is greater than zero and every negative rational number is smaller than zero.

(iii) – 4/11 < 3/11. Because every positive rational number is greater than zero and every negative rational number is smaller than zero.

Question: 3

 Fill in the blanks by the correct symbol out >, =, or < :

Solution:

Question: 4

Fill in the blanks by the correct symbol out of >, =, or < :

Solution:

(i) Because every positive number is greater than a negative number, (- 6)/7 < 7/13.

(iv) Because every positive number is greater than a negative number, 0 > (-2)/5.

Question: 5

Arrange the following rational numbers in ascending order:

Solution:

(i) Ascending order:

Since, LCM of 5, -30, -15, 10 is 30.

Multiplying the numerators and denominators to get the denominator equal to the LCM 3/5

(ii) Since, LCM of 9, -12, -18, 3 is 36.

Multiplying the numerators and denominators to get the denominator to get the denominator equal to the LCM ,

Question: 6

 Arrange the following rational numbers in descending order:

Solution:

We have to arrange them in descending order.

(i) Since, LCM of 8, 16, -12, -4, 28 is 336.

Multiplying the numerators and denominators, to get the denominator equal to the LCM, 7/8

(ii) Since, LCM of 10, -30, -15, 20 is 60.

Multiplying the numerators and denominators, to get the denominator equal to LCM,

Question: 7

Which of the following statements are true:

(i) The rational number 29/23 lies to the left of zero on the number line.

(ii) The rational number-12/-17 lies to the left of zero on the number line.

(iii) The rational number 3/4 lies to the right of zero on the number line.

(iv) The rational number (-12)/(-5) and (- 7)/(-17) are on the opposite side of zero on the number line.

(v) The rational number -2/15 and 7/(-31)  are on the opposite side of zero on the number line .

(vi) The rational number (- 3)/(-5)  is on the right of (- 4)/7 on the number line.

Solution:

(i) False; it lies to the right of zero because it is a positive number.

(ii) False; it lies to the right of zero because it is a positive number.

(iii) True

(iv) True; they are of opposite signs.

(v) False; they both are of same signs.

(vi) True; they both are of opposite signs and positive number is greater than the negative number.

Thus, it is on the right of the negative number.

All Chapter RD Sharma Solutions For Class 7 Maths

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