ML Aggarwal Integers Exe-1.3 Class 7 ICSE Maths Solutions
ML Aggarwal Integers Exe-1.3 Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-1.3 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 Exe-1.3 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 Exe-1.3 Questions |
Edition | 2023-2024 |
Integers Exe-1.3
ML Aggarwal Class 7 ICSE Maths Solutions
Page-17
Question 1. Find the following products:
(i) 7 × (-35)
(ii) (-13) × (-15)
(iii) (-12) × (-11) × (-10)
(iv) (-13) × 0 × (-24)
(v) (-1) × (-2) × (-3) × 4
(vi) (-3) × (-6) × (-2) × (-1)
Answer:
(i) 7 × (-35)
= -245
(ii) (-13) × (-15)
= 195
(iii) (-12) × (-11) × (-10)
= 132 × (-10)
= -1320
(iv) (-13) × 0 × (-24)
= 0 × (-24)
= 0
(v) (-1) × (-2) × (-3) × 4
= 2 × (-12)
= -24
(vi) (-3) × (-6) × (-2) × (-1)
= 18 × 2
= 36
Question 2. Verify the following:
(i) 37 × [6 + (-3)] = 37 × 6 + 37 × (-3)
(ii) (-21) × [(-6) + (-4)] = (-21) × (-6) + (-21) × (-4)
Answer:
(i) 37×[6+(-3)] = 37×6+37×(-3)
LHS = 37×[6+(-3)]
= 37×3
= 111
RHS = 37×6+37×(-3)
= 37×6+(-111)
= 222 + (-111)
= 111
Therefore, LHS=RHS
(ii) (-21) × [(-6) + (-4)] = (-21) × (-6) + (-21) × (-4)
-21 × [-6 + -4] = (-21)×(-6)+(-21) + -4
-21 × -10 = 21×-6 + (-21) + -4
-210 = -126 – 21 × -4
-210 = -126 – 84
-210 = -210
Therefore, LHS=RHS
Question 3. Using suitable properties, evaluate the following:
(i) 8 × 53 × (-125)
(ii) (-8) × (-2) × 3 × (-5)
(iii) (-6) × 2 × (-8) × 5
(iv) 15 × (-25) × (-4) × (-10)
(v) 26 × (-48) + (-48) × (-36)
(vi) 724 × (-56) + (-724) × 44
(vii) (-47) × 102
(viii)(-39) × (-97)
Answer:
(i) 8 × 53 × −125
= 8×−125 × 53
= −1000 × 53 = -53000
(ii) (-8) × (-2) × 3 × (-5)
=(-8) × 3 ×( -2 ) × (-5)
= -24 × 10
= -240
= -240
(iii) (−6) × 2 × 8 × 5
=(−6 × 8) × 2 × 5
=(−6 × 8) × 10
=−48 × 10=−480
(iv) 15 × (-25) × (-4) × (-10)
= 15 × [(–25) × (– 4)] × (–10)
= 15 × [100] × (–10)
= 15 × [-1000]
= – 15000
(v) 26 × −48 + (−48) × −36
=−48 (26 − 36)
= −48 × −10 = 480
(vi) 724 × (-56) + (-724) × 44
Using distributive law of multiplication
= 724 × (-56 – 44)
= 724 × 100
= 72400
(vii) (-47) × 102
(-47) × (100 + 2)
Using distributive law of multiplication
= (-47) × 100 + (-47 × 2)
= -4700 – 94
= 4794
(viii) (-39) × (-97)
= (-39) × (-100 + 3)
= (-39) × (-100) + (-39)(3)
= 3900 – 117
= 3783
Question 4. Fill in the blanks to make the following true statements:
(i) (-4) × …… = 44
(ii) 7 × …… = -42
(iii) …… × (-13) = 143
(iv) (-5) × …… = 0
Answer:
(i) (-4) × …… = 44
(-4) × -11 = 44
(ii) 7 × …… = -42
7 × -6 = -42
(iii) …… × (-13) = 143
-11 × (-13) = 143
(iv) (-5) × …… = 0
(-5) × 0 = 0
Question 5. A certain freezing process requires that room temperature be lowered from 32°C at the rate of 5°C every hour. What will be the room temperature 8 hours after the freezing process begins?
Answer:
Current temperature of room = 32°C
rate of lowering of temperature -5°C per hour
so, in 8 hours temperature will be = (8×-5)°C = -40°C
therefore, the room temperature will be -40 + 32 = -8°C
Integers Exe-1.3
ML Aggarwal Class 7 ICSE Maths Solutions
Page-18
Question 6. In a class test containing 10 questions, 5 marks are awarded for every correct answer and 2 marks are deducted for every incorrect answer and 0 for questions not attempted.
(i) Rohit gets four correct and six incorrect answers. What is his score?
(ii) Seema gets 5 correct and 5 incorrect answers. What is her score?
(iii) Ritu attempted 7 questions and gets only 2 correct answers. What is her score?
Answer:
Scoring System:
Correct Answer : +5 marks
Incorrect Answer : -2 marks
Not attempted : 0 marks
(i) Rohit gives 4 correct and 6 incorrect answers.
∴ Rohit’s Score = 4*(5) + 6*(-2)
= 20 – 12
= 8 marks
(ii) Seema gives 5 correct and 5 incorrect answers.
∴ Seema ‘s score = 5*(5) + 5*(-2)
= 25 – 10
= 15 marks
(iii) Ritu gives 2 correct and 5 incorrect answers.
∴ Ritu’s score = 2*(5) + 5*(-2)
= 10 – 10
= 0 marks
— : End of ML Aggarwal Integers Exe-1.3 Class 7 ICSE Maths Solutions :–
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