RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions for Class 7 Mathematics

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Class 7 : RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

The document RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
All you need of Class 7 at this link: Class 7

Question 1:

Draw the number line and represent the following rational numbers on it:
 (i) 2/3
 (ii) 3/4
 (iii) 3/8
 (vi) −5/8
 (v) −3/16
 (vi) −7/3
 (vii) 22/−7
 (viii) −31/3

Answer 1:

(i)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(ii)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(iii)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(iv)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(v)

  RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(vi)

  RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(vii)  RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

 

Question 2:

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

Answer 2:

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(ii) RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev  Because every positive rational number is greater than zero and every negative rational number is smaller than zero. 

(iii)   RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev Because every positive rational number is greater than zero and every negative rational number is smaller than zero. 

(iv)  

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(v)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(vi)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(vii)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(viii)

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

 

Question 3:

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

Answer 3:

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

 

Question 4:

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

Answer 4:

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

(ii) On multiplying −3/5 by 6/6, we get −18/30.

 

Because  RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

 

(iii)  On multiplying −2/3 by 8/8, we get −16/24.

On multiplying 5/−8 by 3/3, we get 15/−24 = −15/24.

Because   RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

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

 

Question 5:

Arrange the following rational numbers in ascending order:

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

Answer 5:

(i) Ascending order:

Since, LCMof 5, −30, −15, 10 is 30.

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(ii)

Since, LCMof 9, −12, −18, 3 is 36.

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

 

Question 6:

Arrange the following rational numbers in descending order:

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

Answer 6:

We have to arrange them in descending order.

(i)
Since, LCMof 8, 16, −12, −4, 28 is 336.

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

(ii)

 

Since, LCMof 10, −30, −15, 20 is 60.

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

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

RD Sharma Solutions - Ex - 4.6, Rational Numbers, Class 7, Math Class 7 Notes | EduRev

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 numbers −12/−5 and −7/17 are on the opposite side of zero on the number line.
 (v) The rational numbers −21/−5 and 7/−31 are on the opposite side of zero on the number line.
 (vi) The rational number −3/−5 is one the right of −4/7 on the number line.

Answer 7:

(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.
(v) 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.

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