Math, asked by jagjitsahota480, 1 month ago

8) Arrange the following rational numbers in the descending order:

1) 2/-3, -4/9, -5/12, 7/-18

2) 3/-4, -5/12, -7/16, 9/-24



9) Arrange the following rational numbers in the ascending order:

1) 2/5, 1/3, 3/4, 1/6

2) 5/6, 7/8, 11/12, 3/10

10) Add: 1) 3/7 and -9/7

2) 5/9 and 7/-9

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

1) 3/4 ___1/2

2) -1/2 ___ -3/4

12)Fill in the blanks:

a) The product of two rational numbers is always _______.

b)3/5=6/__

c)The number -p/q and _____ represents the same rational number.



13) State whether true or false:

1) Absolute value of a rational number is either positive or 0.

2) There are countless rational numbers with absolute value less than 5.

3) The absolute value of 0 is 0.

4) Rational number -5/3 and 5/3 are equal distance from zero.

5) On a number line, all the numbers to the left of zero are positive.​

Answers

Answered by tennetiraj86
4

Step-by-step explanation:

8) descending order:

1) 2/-3, -4/9, -5/12, 7/-18

=> -2/3 , -4/9 , -5/12 , -7/18

LCM of 3,9,12,18 = 36

-2/3 = (-2/3)×(6/6)=-12/36

-4/9=(-4/9)×(4/4)=-16/36

-5/12=(-5/12)×(3/3)=-15/36

-7/18=(-7/18)×(2/2)=-14/36

Descending order =-12/36,-14/36,-15/36,-16/36

-2/3 , -7/18 , -5/12 , -4/9

2) 3/-4, -5/12, -7/16, 9/-24

=> -3/4 , -5/12 , -7/16 , -9/24

LCM of 4 , 12 ,16 24 = 48

-3/4 = (-3/4)×(12/12)=-36/48

-5/12=(-5/12)×(4/4)=-20/48

-7/16=(-7/16)×(3/3)=-21/48

-9/24=(-9/24)×(2/2)=-18/48

Descending order = -18/48, -20/48,-21/48,-36/48

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

9) Arrange the following rational numbers in the ascending order:

1) 2/5, 1/3, 3/4, 1/6

LCM of 5 , 3 ,4 ,6 = 60

2/5=(2/5)×(12/12)=24/60

1/3=(1/3)×(20/20)=20/60

3/4=(3/4)×(15/15)=45/60

1/6=(1/6)×(10/10)=10/60

Ascending order = 10/60,20/60,24/60,45/60

1/6 , 1/3 , 2/5 , 3/4

2) 5/6, 7/8, 11/12, 3/10

LCM of 6,8,12,10 is 120

5/6 = (5/6)×(20/20)=100/120

7/8=(7/8)×(15/15)=105/120

11/12=(11/12)×(10/10)=110/120

3/10=(3/10)×(12/12)=36/120

Ascending order = 36/120, 100/120,105/120

,110/120

=> 3/10 , 5/6 , 7/8 , 11/12

10) Add: 1) 3/7 and -9/7

=> (3/7)+(-9/7)

=>(3-9)/7

=> -6/7

2) 5/9 and 7/-9

=>(5/9)+(7/-9)

=> (5/9)+(-7/9)

=>(5-7)/9

=> -2/9

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

1) 3/4 >1/2

2) -1/2 > -3/4

12)Fill in the blanks:

a) The product of two rational numbers is always

a rational number.

b)3/5=6/10

c)The number -p/q and p/-q represents the same rational number.

13) State whether true or false:

1) Absolute value of a rational number is either positive or 0.

False

2) There are countless rational numbers with absolute value less than 5.

true

3) The absolute value of 0 is 0.

True

4) Rational number -5/3 and 5/3 are equal distance from zero.

True

5) On a number line, all the numbers to the left of zero are positive.

false

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