1) Represent the following rational
numbers on the number line:
a)-3/4 b) 31/-6 c) -1/2 d) 3/4
2) Write the following rational numbers in the standard form:
a) 5/15 b) -24/40 c) 33/-77 d) -45/-105
3) Compare the following rational numbers:
1) -9/27, 6/-18 2) -5/7, 10/-6
3) 3/-8, -15/40 4) -11/7, 33/21
4) 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
5) 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
6) Add: 1) 3/7 and -9/7, 2) 5/9 and 7/-9
3) 2/5, 5/-9 and -6/15
7) Verify that a + b = b + a by taking (1) a = -7/5, b = 2/7
(2) a = -1 , b = -2/3
8) Verify that (a+b)+c.=a+(b+c) by taking
(1) a = -2 , b = -2/3 , c = -3/4
(2) a = -12, b = -9/11, c = 7/-12
9) Subtract : i) (-3/4) from (1/2) ii) (5/8) from (-3/14)
10) What should be added to (-7/20) to get (-2/5)?
11) The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other.
12) The sum of two rational numbers is (-5/8). If one of the number is (-6/11), find the other number.
13) To which number should (2/3) be added to give (-11/4)?
14) From which number should (-11/4) be subtracted to give (-11/4)?
15) Find the product of :
1) 5/9, -2/5 2) -5, -3/15
a)-3/4 b) 31/-6 c) -1/2 d) 3/4
2) Write the following rational numbers in the standard form:
a) 5/15 b) -24/40 c) 33/-77 d) -45/-105
3) Compare the following rational numbers:
1) -9/27, 6/-18 2) -5/7, 10/-6
3) 3/-8, -15/40 4) -11/7, 33/21
4) 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
5) 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
6) Add: 1) 3/7 and -9/7, 2) 5/9 and 7/-9
3) 2/5, 5/-9 and -6/15
7) Verify that a + b = b + a by taking (1) a = -7/5, b = 2/7
(2) a = -1 , b = -2/3
8) Verify that (a+b)+c.=a+(b+c) by taking
(1) a = -2 , b = -2/3 , c = -3/4
(2) a = -12, b = -9/11, c = 7/-12
9) Subtract : i) (-3/4) from (1/2) ii) (5/8) from (-3/14)
10) What should be added to (-7/20) to get (-2/5)?
11) The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other.
12) The sum of two rational numbers is (-5/8). If one of the number is (-6/11), find the other number.
13) To which number should (2/3) be added to give (-11/4)?
14) From which number should (-11/4) be subtracted to give (-11/4)?
15) Find the product of :
1) 5/9, -2/5 2) -5, -3/15
16) Verify the property a x b = b x a by
taking :
1) a = (-12/7), b = (-21/5) 2) a = 0 , b = (-13/3)
17) Verify the property a x ( b x c ) = (a x b) x c by taking
i) a = (7/5), b = (-9/4), c = (1/2) ii) a = 1, b = (-13/5), c = (3/5)
18) Verify the property ax(b+c)=(axb)+(axc) by taking:
1) a = (1/3), b = 0, c = (-7/6)
2) a = -2, b = (9/5), c = (-2/15)
19) The product of two rational numbers is 6. If one of them is 8, find the other number.
20) By what number should (-6/11) be multiplied to get (-32/11)?
21) Find the rational number between:
1) 3 and 4 2) -7 and -6
22) Find three rational numbers between:
1) -5 and 8 2) ( -1/3 ) and (1/2)
23) 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.
1) a = (-12/7), b = (-21/5) 2) a = 0 , b = (-13/3)
17) Verify the property a x ( b x c ) = (a x b) x c by taking
i) a = (7/5), b = (-9/4), c = (1/2) ii) a = 1, b = (-13/5), c = (3/5)
18) Verify the property ax(b+c)=(axb)+(axc) by taking:
1) a = (1/3), b = 0, c = (-7/6)
2) a = -2, b = (9/5), c = (-2/15)
19) The product of two rational numbers is 6. If one of them is 8, find the other number.
20) By what number should (-6/11) be multiplied to get (-32/11)?
21) Find the rational number between:
1) 3 and 4 2) -7 and -6
22) Find three rational numbers between:
1) -5 and 8 2) ( -1/3 ) and (1/2)
23) 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.
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