ML Aggarwal Integers Mental Maths Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of Mental Maths Questions for Integers as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-7.
ML Aggarwal Integers Mental Maths Class 7 ICSE Maths Solutions
| Board | ICSE |
| Publications | Avichal Publishig Company (APC) |
| Subject | Maths |
| Class | 7th |
| Chapter-1 | Integers |
| Writer | ML Aggarwal |
| Book Name | Understanding |
| Topics | Solution of Mental Maths Questions |
| Edition | 2023-2024 |
Integers Mental Maths
ML Aggarwal Class 7 ICSE Maths Solutions
Page-24
Question 1. Fill in the blanks:
(i) ………… is the greatest negative integer.
(ii) ((-10) + 3) + (-12) = (-10) + (3 + …..)
(iii) The product of two negative integers and the product of two positive integers is a ………. integer.
(iv) The division of any integer by zero is ……..
(v) The integer whose product with (-1) is 22 is ………
(vi) (-15) × …….. = 120
(vii) ……… ÷ (-6) = -12
(viii) (-10) × ((-15) + 33) = ……. × (-15) + (-10) × 33
(ix) ……… ÷ (-25) = 0
(x) ((-8) × (-13)) × 27 = (-8) × ((……) × 27)
(xi) 13 × (-6) = -(……. × ………) = …….
(xii) (-a) + b = b + additive inverse of ……….
(xiii) When -25 is divided by ……… the quotient is 5.
(xiv) There are …….. pairs of integers satisfying a ÷ b = -1.
(xv) The value of the expression ((-60) ÷ 12) (-5) is ………
Answer:
(i) -1 is the greatest negative integer.
(ii) ( ( -10) + 3 ) + (-12) = ( -10 ) + ( 3 + ……)
[ ( -10 + 3 ] + (-12) = (-10) + [ 3 + (-12) ] (Associative law of addition.)
(iii) The product of two negative integers and the product of two positive integers is a positive integer.
(iv) the division of any integer by zero is meaningless.
(v) The integer whose product with ( -1 ) is 22 is -22 [ (-1) × (−22) = 22
(vi) (-15) × -8 = 120
120/-15 = -8 ; (-15) × (-8) = 120
(vii) ………… ÷ (-6) = -12
-6 × (-12) = 72
72 ÷ (-6) = -12
(viii) (-10) × ( ( -15) + 33) = ………… × (-15) + (-10) × 33
= (-10) × ( ( -15) + 33)
= (-10) × ( -15) +(-10) × 33) ( Distributive law of multiplication.
(ix) 0 ÷ (-25) = 0 ( 0 divided by every integer excepted is zero)
(x) ( -8 ) × (-13) ) × 27 = (-8) × ((-13)× 27 ) ( Associative law of multiplication )
(xi) 13 × (-6) = – ( 13 × 6) = 78
(xii) (-a) + b = b + additive inverse of a .
(xiii) when -25 is divided by (-5) the quotient is 5 .
(xiv) there are infinite pairs of integers satisfying a ÷ b = -1 .
(xv) The value of the expression ( ( -60) ÷ 12 ) (-5) is 1 .
Question 2. State whether the following statements are True (T) or False (F):
(i) For every integer a, |a| is either positive or zero.
(iii) We can write a pair of integers whose sum is not an integer.
(iv) If we divide an integer by (-1), then the result is the additive inverse of the integer.
(v) 1 is the additive identity of integers.
(vi) (-17) × 6 is a whole number.
(vii) (-5) × (-8) × o is a positive integer.
(viii) (-237) × 0 is same as 0 × (-89).
(ix) Closure property holds for subtraction of integers.
(x) Commutative property does not hold for subtraction of integers.
(xii) Closure property holds for division of integers.
(xiii) Commutative property does not hold for division of integers.
(xiv) Multiplication fact (-8) × (-12) = 96 is same as division fact 96 ÷ (-12) = -8.
(xv) [(-32 ÷ 8] ÷ 2 = (-32) ÷ (8 ÷ 2)
(xvi) For every integer a, a ÷ a = 1.
(xvii) The successor of 0 × (-10) is 1 × (-10).
Answer:
(i) For every integer a, |a| is either positive or zero. True
(iii) We can write a pair of integers whose sum is not an integer. False
(iv) If we divide an integer by (-1), then the result is the additive inverse of the integer. True
(v) 1 is the additive identity of integers. False
(vi) (-17) × 6 is a whole number. False
(vii) (-5) × (-8) × o is a positive integer. False
(viii) (-237) × 0 is same as 0 × (-89). True
(ix) Closure property holds for subtraction of integers. True
(x) Commutative property does not hold for subtraction of integers. True
(xii) Closure property holds for division of integers. False
(xiii) Commutative property does not hold for division of integers. True
(xiv) Multiplication fact (-8) × (-12) = 96 is same as division fact 96 ÷ (-12) = -8. True
(xv) [(-32 ÷ 8] ÷ 2 = (-32) ÷ (8 ÷ 2) False
(xvi) For every integer a, a ÷ a = 1. False
(xvii) The successor of 0 × (-10) is 1 × (-10). False
Question 3. State whether the following statements are true or false. Justify your answer.
(i) The sum of a positive integer and a negative integer is always a positive integer.
(ii) The sum of two integers is always greater than their difference.
(iii) For any two integers a and b, the inequality -a < b is always true.
(iv) The product of two integers is always greater than the sum of the integers.
Answer:
(i) the sum of a positive integer and a negative integer is always a positive integer. ( False )
Correct: As 3 + (-8) = 3 – 8 = -5 which is negative.
(ii) The sum of two integers is always greater than their difference. (False)
Correct : As 3 + (-4) = -1 but 3 – (-4) = 3+4 = 7 and -1 <7
(iii) For any two integers a and b , the inequality –a < b is always true. (False)
Correct: Let a = -5 and b = 2 , then –a = -(-5) 5 and –a > b
(iv) The product of two integers is always greater than the sum of the integers. ( False)
Correct:
Let two integers be -2 and 3
Then product = -2 × 3 = -6
And sum = -2 + 3 = 1
But -6 < 1
Their product < Their sum
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