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Expressas a rational number with denominator
(i) 20 (ii) -30 (iii) 35 (iv) -40
Expressas a rational number with denominator 7.
Expressas a rational number with denominator 5.
Express each of the following rational numbers in standard form:
(i) (ii) (iii) (iv)
Which of the two rational numbers is greater in the given pair?
(i) or 0 (ii)or 0 (iii)or
(iv)or (v)or (vi)or
(i)or (ii)or (iii)or
(iv)or(v)or (vi)or
Fill in the blanks with the correct symbol out of >, = and <:
(i) (ii)(iii)
(iv) (v) (vi)
Arrange the following rational numbers in ascending order:
(i) (ii)
(iii) (iv)
Arrange the following rational numbers in descending order:
Which of the following statements are true and which are false?
(i) Every whole number is a rational number.
(ii) Every integer is a rational number.
(iii) 0 is a whole number but it is not a rational number.
Represent each of the following numbers on the number line:
(i) (ii) (iii)(iv)
(v) (vi) (vii)(viii)
(v) (vi) (vii) (viii)
(i) lies to the left of 0 on the number line.
(ii)lies to the right of 0 on the number line.
(iii) The rational numbersandare on opposite sides of 0 on the number line.
(iv) The rational numberlies to the left of 0 on the number line.
Add the following rational numbers:
(i)and (ii)and (iii)and
(iv)and (v)and (vi)and
(i) and (ii) and (iii)and
(iv)and (v)and
(vi)and (vii)and
(viii)and (ix)and
Verify the following:
(iii)(iv)
(i)
(ii)
(iii)
Fill in the blanks:
(iv)
(v)
(vi)
Find the additive inverse of each of the following:
(i) (ii) (iii) (iv) (v)
(vi) (vii) (viii) (ix) (x)
Subtract:
(i)from (ii)from
(iii)from (iv)from
(v)from (vi)from
(vii)from (viii)from
Using the rearrangement property find the sum:
The sum of two rational numbers is. If one the numbers isfind the other.
The sum of two rational numbers isIf one of the numbers isfind the other.
What number should be added toso as to get?
What number should be subtracted fromto get?
(i) Which rational number is its own additive inverse?
(ii) Is the difference of two rational numbers a rational number?
(iii) Is addition commutative on rational numbers?
(iv) Is addition associative on rational numbers?
(v) Is subtraction commutative on rational numbers?
(vi) Is subtraction associative on rational numbers?
(vii) What is the negative of a negative rational number?
Find each of the following products:
(i) (ii) (iii)
(vii) (viii) (ix)
(x) (xi)
(xii)
Verify each of the following:
(ii) �
Find the multiplicative inverse (i.e., reciprocal) of:
Find the value of:
(i)(ii) (iii) (iv)
Name the property of multiplication illustrated by each of the following statements:
(i) The product of a rational number and its reciprocal is........
(ii) Zero has……reciprocal.
(iii) The numbers…… and….are their own reciprocals.
(iv) Zero is……the reciprocal of any number.
(v) The reciprocal ofwhereis……
(vi) The reciprocal ofwhereis……
(vii) The reciprocal of a positive rational number is……
(viii) The reciprocal of a negative rational number is……
Simplify:
(i)(ii) (iii)(iv) (v) (vi)
Verify whether the given statement is true or false:
The product of two rational numbers is -9. If one of the numbers is -12, find the other.
The product of two rational numbers is .If one of the numbers is find the other.
By what rational number should we multiply to get ?
By what rational number should be multiplied to obtain ?
By what number should be divided to get ?
Divide the sum of and by the product of and
Divide the sum of and by their differ-renice.
(i) Are rational numbers always closed under division?
(ii) Are rational numbers always commutative under division?
(iii) Are rational numbers always associative under division?
(iv) Can we divide 1 by 0?
Find a rational number betweenand
Find a rational number betweenand.
Find two rational numbers betweenand.
Find three rational numbers betweenand
Find 10 rational numbers betweenand
Find 12 rational numbers between -1and 2.
From a rope 11 m long. two pieces of lengthsm andm are cut off. What is the length of remaining rope?
A drum full of rice weight kg. If the empty drum weight kg. Find the weight of rice in the drum.
A basket contains three types of fruits weightkg in all. Ifkg of these be apples,kg be oranges and the rest pears, what is the weight of the pears in the basket?
On one day a rickshaw puller earned Rs. 160. Out of his earnings he spenton tea and snacks, Rs.on food and Rs.on repairs of the rickshaw. How much did he save on that day?
Find the cost ofmeters of cloth at Rs.per meter.
A car is moving at an average speed ofkm/hr. How much distance will it cover inhours?
Find the area of a rectangular park which ism long andm board.
Find the area of square plot of land whose each side measuremeters.
One liters of petrol costs Rs.What is the cost of 34 liters of petrol?
An aeroplane covers 1020 km in an hour. How much distance will it cover inhours?
The cost ofmeters of cloth is Rs.. What is the cost of one metre of cloth?
A cord of lengthm has been cut into 26 pieces of equal length. What is the length of each piece?
The area of a room is. If its breadth ismeters, what is its length?
The product of two fractions isIf one of the fractions isfind the other.
In a schoolof the students are boys. If there are 240 girls, find the number of boys in the school.
After readingof a book, 40 pages are left. How many pages are there in the book?
Rita had Rs. 300. She spentof her money on notebooks andof the remainder on stationary items. How much money is left with her?
Amit earns Rs. 32000 per month. He spendsof his income on food;of the remainder on house rent andof the remainder on the education of children. How much money is still left with him?
Ifof a number exceeds itsby, find the number.
At a cricket test matchof the spectators were in a covered place while 15000 were in open. Find the total number of spectators.
Options A.
B.
C.
D.
What should be added toto get
The sum of two numbers isto get
What should be subtracted fromto get
D. none of these
The product of two rational numbers is. If one of the numbers isthen the other one is
The product of two numbers is. If one of the numbers isthe other is
The sum of two rational numbers isIf one of them isthen the other one is
Which of the following numbers is in standard form?
Additive inverse ofis
Reciprocal ofis
D. 0
A rational number betweenandis
The reciprocal of a negative rational number
Options A. is a positive rational number
B. is a negative rational number
C. can be either a positive or a negative rational number
D. does not exist
Find the additive inverse of(i)(ii)
The sum of two rational numbers isIf one of them isfind the other.
What number should be added toto get
What number should be subtracted fromto get
Find the multiplicative inverse of (i)(ii)
The product of two numbers is. If one of them is, find the other.
Evaluate:
Name the property of multiplication shown by each of the following statements:
Find two rational numbers lying betweenand
What should be added toto get ?
The product of two numbers isIf one of them isthen the other is
Fill in the blanks.
Write ‘T’ for true and ‘F’ for false for each of the following:
(i) Rational numbers are always closed under subtraction.
(ii) Rational numbers are always closed under division.
(iv) Subtraction is commutative on rational numbers.
as a rational number with denominator 7.
as a rational number with denominator 5.
(ii)
(iii)
(iv)
or 0 (ii)
or 0 (iii)
or
or
(v)
or
(vi)
or
or
(ii)
or
(iii)
or
or
(v)
or
(vi)
or
(ii)
(iii)
(v)
(vi)
(ii)
(iv)
(ii)
(iv)
(ii)
(iii)
(iv)
(vi)
(vii)
(viii)
(ii)
(iii)
(iv)
(vi)
(vii)
(viii)
lies to the left of 0 on the number line.
lies to the right of 0 on the number line.
and
are on opposite sides of 0 on the number line.
lies to the left of 0 on the number line.
and
(ii)
and
(iii)
and
and
(v)
and
(vi)
and
and
(ii)
and
(iii)
and
and
(v)
and
and
(vii)
and
and
(ix)
and
(ii)
(iv)
(ii)
(iii)
(iv)
(v)
(vii)
(viii)
(ix)
(x)
from
(ii)
from
from
(iv)
from
from
(vi)
from
from
(viii)
from
. If one the numbers is
find the other.
If one of the numbers is
find the other.
so as to get
?
so as to get
?
to get
?
(ii)
(iii)
(v)
(vi)
(viii)
(ix)
(xi)
(ii)
(ii)
(iii)
(iv)
(v)
(vii)
(viii)
(ix)
(x)
(ii)
(iii)
(iv)
where
is……
where
is……
(ii)
(iii)
(iv)
(v)
(vi)
.If one of the numbers is 
find the other.
to get 
?
be multiplied to obtain 
?
be divided to get 
?
and 
by the product of 
and 
and 
by their differ-renice.
(ii)
(iv)
and
and
.
and
and
.
and
and
and
m and
m are cut off. What is the length of remaining rope?
kg. If the empty drum weight 
kg. Find the weight of rice in the drum.
kg in all. If
kg of these be apples,
kg be oranges and the rest pears, what is the weight of the pears in the basket?
on tea and snacks, Rs.
on food and Rs.
on repairs of the rickshaw. How much did he save on that day?
meters of cloth at Rs.
per meter.
km/hr. How much distance will it cover in
hours?
m long and
m board.
meters.
What is the cost of 34 liters of petrol?
hours?
meters of cloth is Rs.
. What is the cost of one metre of cloth?
m has been cut into 26 pieces of equal length. What is the length of each piece?
. If its breadth is
meters, what is its length?
If one of the fractions is
find the other.
of the students are boys. If there are 240 girls, find the number of boys in the school.
of a book, 40 pages are left. How many pages are there in the book?
of her money on notebooks and
of the remainder on stationary items. How much money is left with her?
of his income on food;
of the remainder on house rent and
of the remainder on the education of children. How much money is still left with him?
of a number exceeds its
by
, find the number.
of the spectators were in a covered place while 15000 were in open. Find the total number of spectators.
to get
to get
to get
to get
. If one of the numbers is
then the other one is
. If one of the numbers is
the other is
to get
If one of them is
then the other one is
is
is
and
is
(ii)
If one of them is
find the other.
to get
(ii)
. If one of them is
, find the other.
(ii)
(iii)
(ii)
and
to get
to get
If one of them is
then the other is
is
and
is
