R s aggarwal mathematics class 7 Solutions for Chapter 4 rational numbers

What are the rational numbers? Give examples of five positive and five negative rational numbers. Is

there any rational number that is neither positive nor negative? Name it.

Which of the following are rational numbers?

(i)(5/-8) (ii) (-6/11) (iii)(7/15) (iv)(-8/-12) (v)6

(vi)-3 (vii)0 (viii)(0/1) (ix)(1/0) (x)(0/0)

Write down the numerator and the denominator of each of the following rational numbers:

(i)(8/19) (ii)(5/-8) (iii)(-13/15) (iv)(-8/-11) (v)(9)

Write each of the following integers as a rational number. Write the numerator and the denominator

in each case.

(i)5 (ii)-3 (iii)1 (iv)0 (v)-23

Which of the following are positive rational numbers?

(i) (3/-5) (ii)(-11/15) (iii)(-5/-8) (iv)(37/53) (v)(0/3)

(vi)8

Which of the following are negative rational numbers?

(i) (-15/-4) (ii)0 (iii)(-5/7) (iv)(4/-9) (v)-6

(vi)(1/-2)

Find four rational numbers equivalent to each of the following.

(i)(6/11) (ii)(-3/8) (iii)(7/-15) (iv)8 (v)1

(vi)-1

Write the following as a rational number with a positive denominator.

(1/-2)

Write the following as a rational number with a positive denominator.

(12/-17)

Write the following as a rational number with a positive denominator.

(11/-6)

Write the following as a rational number with a positive denominator.

(-8/-19)

Write the following as a rational number with a positive denominator :

-10

Express (5/8) as a rational number with numerator:

15

Express (4/7) as a rational number with a denominator:

-35

Represent the following rational numbers on the number line:

(7/3)

Represent each of the following rational numbers on the number line:

(1/3)

Represent the following rational numbers on the number line:

(37/8)

Represent the following rational numbers on the number line:

(2/7)

Which of the two rational numbers is greater in the following pair?

(5/8) or (3/8)

Which of the two rational numbers is greater in the following pair?

(-6/11) or (5/11)

Which of the two rational numbers is greater in the following pair?

(5/6) or 0

Which of the two rational numbers is greater in the following pair?

(4/-5) or (-7/8)

Which of the two rational numbers is greater in the following pair?

(9/-13) or (7/-12)

Which of the two rational numbers is greater in the following pair?

(7/-9) or (-5/8)

Fill in the blanks with the correct symbol out of >, < and =:

-2…. (-13/5)

Fill in the blanks with the correct symbol out of >, < and =:

(-8/9)…… (-9/10)

Arrange the following rational numbers in ascending order:

(-3/4), (5/-12), (-7/16), (9/-24)

Arrange the following rational numbers in ascending order:

(2/3), (3/4), (5/-6), (-7/12)

Add the following rational numbers:

(3/-8) and (1/8)

Add the following rational numbers:

(-2/9) and (-5/9)

Add the following rational numbers:

(-17/9) and (-11/9)

(-5/11) and (7/-11)

Add the following rational numbers:

(27/-4) and (-15/8)

Add the following rational numbers:

-4 and (1/2)

Add the following rational numbers:

(-2/5) and (3/4)

Add the following rational numbers:

(-5/36) and (-7/12)

Find the additive inverse of:

(3/14)

Subtract :

(5) from (-3/5)

Subtract :

(-9/7) from (-1)

Subtract :

(-18/11) from (1)

Subtract :

(-7) from (-4/7)

Evaluate:

(4/9) - (2/-3)

Evaluate:

(14/15) - (13/20)

Evaluate:

(7/24) - (19/36)

Evaluate:

(-5/-8) - (-3/4)

Subtract the sum of (-36/11) and (49/22) from the sum of (33/8) and (-19/4)

The sum of two rational numbers is (-3/8). If one of them is (3/16), find the other.

Multiply:

(-12/5) by (10/-3)

Multiply:

(-13/15) by (-25/26)

Multiply:

(-36/5) by (20/-3)

Multiply:

(9/8) by (32/3)

Simplify:

(-9/8) × (-16/3)

Simplify:

(5/-18) × (-9/20)

Simplify:

(-7/30) × (5/14)

Simplify:

(-9/16) × (-64/27)

Simplify:

(-19/36) × (16)

Simplify:

(-13/5) × (-10)

Find the multiplicative inverse or reciprocal of the following:

18

Find the multiplicative inverse or reciprocal of each of the following:

-3/-5

Find the multiplicative inverse or reciprocal of each of the following:

-6/19

Find the multiplicative inverse or reciprocal of each of the following:

-17/12

Find the multiplicative inverse or reciprocal of each of the following:

-16

Simplify:

(4/9) ÷ (-5/12)

Simplify:

(-1/10) ÷ (-8/5)

Simplify:

(-8) ÷ (-5/16)

Fill in the blanks:

( -12) ÷ (…. ) = (-6/5)

Fill in the blanks:

(…… ) ÷ (-7/5) = (10/19)

Fill in the blanks:

( 9/8) ÷ (…. ) = (-3/2)

Divide the sum of (65/12) and (8/3) by their difference

By what number should (-44/9) be divided to get (-11/3)?

By what number should (-8/15) be multiplied to get 24?

Mark against the correct answer in the following:

33/-55 in standard form is

(a)(3/-5) (b)(3/-5) (c)(-33/55) (d) None of these

Mark against the correct answer in the following:

(-102/119) in standard form is

(a) (-4/7) (b)(-6/7) (c)(-6/17) (d) None of these

Mark against the correct answer in the following:

If (X/6) = (7/-3), then the value of X is

(a)-14 (b) 14 (c) 21 (d) -21

What should be subtracted from (-3/4) to get (5/6)?

(a)(19/12) (b)(-19/12) (c)(1/12) (d)(-1/12)

Which is smaller out of (5/-6) and (-7/12)?

(a)(5/-6) (b)(-7/12) (c) Cannot be compared