Question 1.Fill in the blanks:
(a) 1 lakh = ………….. ten thousand.
(b) 1 million = ………… hundred thousand.
(c) 1 crore = ………… ten lakh.
(d) 1 crore = ………… million.
(e) 1 million = ………… lakh.
Solution:
(a) 1 lakh = ten ten thousand.
(b) 1 million = ten hundred thousand.
(c) 1 crore = ten ten lakh
(d) 1 crore = ten million
(e) 1 million = ten lakh
Question 2.Place commas correctly
and write the numerals:
(a) Seventy-three lakh seventy-five thousand three hundred
seven.
(b) Nine crore five lakh forty-one.
(c) Seven crore fifty-two lakh twenty-one thousand three
hundred two.
(d) Fifty-eight million four hundred twenty- three thousand
two hundred two.
(e) Twenty-three lakh thirty thousand ten.
Solution:
(a) 73,75,307
(b) 9,05,00,041
(c) 7,52,21,302
(d) 5,84,23,202
(e) 23,30,010.
Question 3.Insert commas suitably
and write the names according to Indian System of Numeration:
(a) 87595762
(b) 8546283
(c) 99900046
(d) 98432701
Solution:
(a) 8,75,95,762 (Eight crore seventy-five lakh ninety-five
thousand seven hundred sixty- two)
(b) 85,46,283 (Eighty-five lakh forty-six thousand two
hundred eighty-three)
(c) 9,99,00,046 (Nine crore ninety-nine lakh forty-six)
(d) 9,84,32,701 (Nine crore eighty-four lakh thirty-two
thousand seven hundred one)
Question 4.Insert commas suitably
and write the names according to International System of Numeration:
(a) 78921092
(b) 7452283
(c) 99985102
(d) 48049831
Solution:
(a) 78,921,092 (Seventy-eight million nine hundred
twenty-one thousand ninety-two)
(b) 7,452,283 (Seven million four hundred fifty- two
thousand two hundred eighty-three)
(c) 99,985,102 (Ninety-nine million nine hundred
eighty-five thousand one hundred two)
(d) 48,049,831 (Forty-eight million forty-nine thousand eight hundred
thirty-one)
Question 1.Following
number line shows the temperature in degree Celsius (°C) at different places on
a particular day.
(a) Observe this number line and write
the temperature of the places marked on it.
(b) What
is the temperature difference between the hottest and the coldest places among
the above?
(c) What
is the temperature difference between Lahulspriti and Srinagar?
Cities Temperature
Lahulspriti - 8°C
Srinagar - 2°C
Shimla 5°C
(b) The temperature of the hottest place
= 22°C
The
temperature of the coldest place = -8°C
Difference
= 22°C – (-8°C)
= 22°C +
8°C = 30°C
(c)
Temperature of Lahulspriti = -8°C
Temperature
of Srinagar = -2°C
∴ Difference = -2°C –
(-8°C)
= -2°C +
8°C = 6°C
Question
2.In a quiz, positive marks are given for correct answers and negative marks
are given for incorrect answers. If Jack’s scores in five successive rounds
were 25, -5, -10, 15 and 10, what was his total at the end?
Solution:
Given
scores are 25, -5, -10, 15, 10
Marks
given for correct answers
= 25 + 15
+ 10 = 50
Marks
given for incorrect answers
= (-5) +
(-10) = -15
∴ Total marks given at the
end
= 50 +
(-15) = 50 – 15 = 35
Question
3.At Srinagar temperature was -5°C on Monday and then it dropped by 2°C on
Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose
by 4°C. What was the temperature on this day?
Solution:
Initial
temperature of Srinagar on Monday = -5°C
Temperature
on Tuesday = -5°C – 2°C = -7°C
Temperature
was increased by 4°C on Wednesday.
∴ Temperature on Wednesday
= -7°C +
4°C = -3°C
Hence,
the required temperature on Tuesday = -7°C
and the
temperature on Wednesday = -3°C
Question
4.A plane is flying at the height of 5000 m above the sea level. At a
particular point, it is exactly above a submarine flowing 1200 m below the sea
level. What is the vertical distance between them?
Solution:
Height of
the flying plane = 5000 m
Depth of
the submarine = -1200 m
∴ Distance between them
= + 5000
m – (-1200 m)
= 5000 m
+ 1200 m = 6200 m
Hence,
the vertical distance = 6200 m
Question
5.Mohan deposits ₹ 2,000 in
a bank account and withdraws ₹ 1,642
from it, the next day. If withdrawal of amount from the account is represented
by a negative integer, then how will you represent the amount deposited? Find
the balance in Mohan’s account after the withdrawal.
Solution:
The
deposited amount will be represented by a positive integer i.e., ₹ 2000.
Amount
withdrawn = ₹ 1,642
∴ Balance in the account
= ₹ 2,000 – ₹ 1,642 = ₹ 358
Hence,
the balance in Mohan’s account after the withdrawal
= ₹ 358
Question
8.Verify a – (-b) = a + b for the following values of a and 6.
(i) a =
21, b = 18
(ii) a =
118, b = 125
(iii) a =
75, b = 84
(iv) a=
28, 6 = 11
Solution:
(i) a –
(-b) = a + b
LHS = 21
– (-18) = 21 + 18 = 39
RHS = 21
+ 18 = 39
LHS = RHS
Hence, verified.
(ii) a –
(-b) = a + b
LHS = 118
– (-125) = 118 + 125 = 243
RHS = 118
+ 125 = 243
LHS = RHS
Hence, verified.
(iii) a –
(-b) = a + b
LHS = 75
– (-84) = 75 + 84 = 159
RHS = 75
+ 84 = 159
LHS = RHS
Hence, verified.
Question 9.Use the sign of >, < or = in
the box to make the statements true.
(a) (-8)
+(-4) □(-8)-(-4)
(b) (-3)
+ 7 – (19) □ 15 – 8 + (-9)
(c) 23 –
41 + 11 □ 23 – 41 – 11
(d) 39 +
(-24) – (15) □ 36 + (-52) – (-36)
(e) -231
+ 79 + 51 □ -399 + 159 + 81
Solution:
(a) (-8)
+ (-4) □ (-8) – (-4)
LHS =
(-8) + (-4) = -8 – 4 = – 12
RHS =
(-8) – (-4) = -8 + 4 = -4
Here – 12
< -4
Hence,
(-8) + (-4) [<] (-8) – (-4)
(b) (-3)
+ 7 – (19) □ 15 – 8 + (-9)
LHS =
(-3) + 7 – (19) =-3 + 7-19
= -3 – 19
+ 7
= -22 + 1
= -15
RHS = 15
– 8 + (-9)
= 15-8-9
= 15 – 17
= -2
Here -15
< -2
Hence,
(-3) + 7 – (19) [<] 15 – 8 + (-9)
(c) 23 –
41 + 11 □ 23 – 41 – 11
LHS = 23
– 41 + 11 = 23 + 11 – 41 = 34 – 41 = -7
RHS = 23
– 41 – 11 = 23 – 52 = -29 Here, -7 > -29
Hence, 23 – 41 + 11
[>] 23 – 41 – 11
Solution:Yes, zero is a rational number it can be written in the form pq.
0 = 01 = 02 = 03 etc.
denominator q can also be taken as negative integer.
Question 2.Find six rational numbers between 3 and 4.
Solution:Let qi be the rational number between 3
and 4, where j = 1 to 6.
∴
Six rational numbers are as follows:
Question 3.Find five rational numbers between 35 and 45.
Solution:Since, we need to find five rational numbers, therefore, multiply numerator and denominator by 6.
Question 4.State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a
whole number.
(ii) Every integer is a whole
number.
(iii) Every rational number
is a whole number.
Solution:
(i) True
∵
The collection of all natural numbers and 0 is called whole numbers.
(ii) False
∵
Negative integers are not whole numbers.
(iii) False
∵
Rational numbers are of the form p/q, q ≠ 0 and q does not divide p completely
that are not whole numbers.
EVENTS CONVENT HIGH SCHOOL
Question.1 state six
common characteristics features of living things?
Answer.1 Movement
growth need air water and food response to environment protection removal of
waste
Question.2 Name the
different organs through which animals and plants breathe in air?
Answer.2 Animals
breathe in air through their lungs girls or is small holes on your body plants
breathe through tiny pores on their leaves.
Question.3 In what
ways are animals depends on plants?
Answer.3 Animals
depends on plants for oxygen food and shelter
Question.4 Give
example how we are respond to our environment?
Answer.4 When we talk
towards a word it flies away if we accidentally touch a hot object we
immediately withdrawal over hand when we go out in the sun we close our eyes to
avoid bright sunlight these are the examples how living things respond to their
environment.
Question.5 Plants and
animals cannot survive without each other explain why?
