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
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