Thursday, August 5, 2021

Class-8 Subject-Maths Chapter-1 Exercise1.2 RATIIONAL NUMBERS(EXERCISE-1.2)

 

EVENTS CONVENT HIGH SCHOOL
05/08/2021          CLASS-8         SESSION2021-22(SLOT-1)
Maths
Chapter-1(Exercise1.2)
RATIONAL NUMBERS

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Class-7 Subject-Maths Chapter-1 Exercise1.2 INTEGERS

 
EVENTS CONVENT HIGH SCHOOL
05/08/2021          CLASS-           SESSION2021-22(SLOT-1)
Maths
Chapter-1
INTEGERS EXERCISE 1.2
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Que-1 Explanation


Question 1.Write down a pair of integers whose:

(a) sum is -7

(b) difference is -10

(c) sum is 0.

Solution:

(a) Let us take a pair of integers -3 and -4.

(-3) + (-4) = -3 – 4 = -7

(b) Let us take a pair of integers -12 and -2

(-12) – (-2) = -12 + 2 = -10

(c) Let us take a pair of integers -3 and 3

(-3) + (3) = -3 + 3 = 0
 


Que-2 Explanation

Question 2.

(a) Write a pair of negative integers whose difference gives 8.

(b) Write a negative integer and positive integer whose sum is -5.

(c) Write a negative integer and a positive integer whose difference is -3.


Solution:

(a) Let us have -2 and -10

Difference = (-2) – (-10) = -2 + 10 = 8

(b) Let us have -7 and 2

(-7) + (2) = -7 + 2 = -5

(c) Let us have -2 and 1

(-2) – (1) = – 2 – 1 = -3


Que-3 Explanation 

 

Question 3.In a quiz, team A scored -40, 10, 0 and team B scored 10, 0, -40 in three successive rounds. Which team scored more? Can you say that we can add integers in any order?

table

Solution:Total score of team

A = (-40) + (10) + (0) – -40 + 10 + 0 = -30

Total score of team

B = 10 + 0 + (-40) = 10 + 0 – 40 – -30

The scores of both the teams are same i.e. -30.

Yes, we can add the integers in any order.

 

Question 4.Fill in the blanks to make the following statements true:

 (i) -5 + (-8) – (-8) + (-5) [Commutative law of additions]

(ii) -53 + 0 = -53 [Additive Identity]

[Adding 0 to any integer, it gives the same value]

(iii) 17 + (-17) = 0 [Additive inverse]

(iv) [13 + (-12)] + (-7) =13 + [(-12) + (-7)] [Associative law of addition]

(v) (-4) + [15 + (-3)] – [-4 + 15] + (-3) [Associative law of addition]


 

Class-6 Subject-Maths Chapter-1 Exercise1.2 Knowing our Numbers

 EVENTS CONVENT HIGH SCHOOL
05/08/2021          CLASS-6                 SESSION2021-22(SLOT-1)
MATHS
CHAPTER-1
KNOWING OUR NUMBERS(eXERCISE-1.2)
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Question 1.A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Solution:

Number of tickets sold on the first day = 1094

Number of tickets sold on the second day = 1812

Number of tickets sold on the third day = 2050

Number of tickets sold on the final day = 2751

Total number of tickets sold on all the four days = 1094 + 1812 + 2050 + 2751 = 7,707.

 

Question 2.Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

Solution:

Shekhar has so far scored 6980 runs

He wishes to complete 10,000 runs.

Therefore total number of runs needed by him = 10,000 – 6980 = 3020 runs

 

Question 3.In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

Solution:

Number of votes secured by the successful candidate = 5,77,500

Number of votes secured by his nearest rival = 3,48,700

Therefore, margin of votes to win the election = 5,77,500 – 3,48,700 = 2,28,800

 

Question 4.Kirti bookstore sold books worth ₹2,85,891 in the first week of June and books worth ₹4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Solution:

Books sold in first week of June worth ₹2,85,891

Books sold in second week of the month worth ₹4,00,768

Therefore, total sale of books in the two weeks together

= ₹2,85,891 + ₹4,00,768 = ₹6,86,659

In the second week of the month, the sale of books was greater.

Difference of the sale of books

= ₹4,00,768 – ₹2,85,891 = ₹1,14,877

Hence, in second week of june, the sale of books was more by ₹1,14,877.