CBSE Class 7 Mathematics Integers Worksheet Set 01

Class 7 Mathematics Practice Set: Chapter 1 Integers

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TOPIC: INTEGERS
 
 
Introduction:
 
 
The set of negative numbers along with the set of whole numbers are known as integers.
{ ……, -4, -3, -2, -1, 0, 1, 2, 3, 4,…..}.
 
The numbers -1, -2, -3, -4,…. are called negative integers and the numbers 1, 2, 3, 4 … are called positive integers. Number ‘0’ is considered neither a positive nor a negative integer. Integers have either a positive sign (+) or a negative sign (−). These two signs define their direction or position on the number line.
CBSE Class 7 Mathematics Integers Worksheet Set A 1
 
Given below some situations, where the positive and negative integers are used.
 
CBSE Class 7 Mathematics Integers Worksheet Set A 2
 
Absolute value of an Integer
 
Absolute value of an Integer is the value of the integer without considering its sign. Abolute value of an integer n is denoted by |n|.
If n is an integer, then
                         
                               Absolute value of + n is |+ n| = n
                               Absolute value of − n is |− n| = n
 
Examples:
 
Q1: Find the absolute value of − 3.
 
Sol: |−3| = 3
 
Q2: Add the integers +15, −4, +8 and −6.
 
Sol: +15 + (−4) + 8 + (−6)
 
= +23 – 10
 
= +13
 
Q3: Subtract +94 from – 105.
 
Sol: − 105 – (+94)
 
= − 105 – 94
 
= − 199
 
Q4: Write a negative integer and a positive integer whose sum is - 5.
 
Sol: −8 and +3
 
Q5: 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?
 
Sol : Jack's scores in five successive rounds are 25, -5, -10, 15, and 10. Total score of Jack at the end will be the sum of these scores.
 
Therefore, Jack's total score at the end = 25 - 5 - 10 + 15 + 10 = 35
 
Q6: 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 : Temperature on Monday = -5°C
 
Temperature on Tuesday = Temperature on Monday -2°C
 
= -5°C - 2°C = -7°C
 
Temperature on Wednesday = Temperature on Tuesday + 4°C
 
= -7°C + 4°C = -3°C
 
Therefore, the temperature on Tuesday and Wednesday was -7°C and -3°C respectively.
 
Q7: A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?
 
Solution: Height of plane = 5000 m
 
Depth of submarine = -1200 m
 
Distance between plane and submarine = 5000 m - (-1200) m
 
= 5000 m + 1200 m = 6200 m
 
Q8: Mohan deposits Rs 2,000 in his bank account and withdraws Rs 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 : Since the amount withdrawn is represented by a negative integer, the amount deposited will be represented by a positive integer.
 
Amount deposited = Rs 2000
 
Amount withdrawn = -Rs 1642
 
Balance in Mohan's account = Money deposited + Money withdrawn
 
= 2000 + (-1642) = 2000 - 1642 = 358
 
Therefore, balance in Mohan's account after withdrawal is Rs 358.
 
Q9: 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 we say that we can add integers in any order?
 
Solution: Team A scored - 40, 10, 0.
 
Total score = - 40 + 10 + 0 = -30
 
Team B scored 10, 0, -40.
 
Total score = 10 + 0 + (-40) = -30
 
The scores of both teams are equal.
 
Q10: In a building, there are 9 floors above ground and 4 floors below the ground. An elevator starts ascending from the second floor below the ground. If the elevator reaches each floor in 3 minutes, where would it be 15 minutes after the start? (Assume that elevator stops at each floor)
 
Solution: Number of floors above the ground level = 9
 
Number of floors below the ground level = 4
 
The floor from which the elevator starts ascending = -2 floor
 
Rate of ascending = 3 minutes per floor
 
Number of floors covered in 15 minutes = 15 /3 = 5 floors
 
Now, starting form -2 floors, 5 floors covered would be
 
(-2) + 5 = 3 floors from the ground level.
 
Thus, elevator will be above 3 floors from the ground after 15 minutes of the start.

 

 

 

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Practice Worksheet and Study Resources for Class 7 Mathematics Chapter 1 Integers

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