## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 1 Integers Ex 1.3

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)

Solution:

Question 2.

Verify the following:

(i) 37 × [6 + (-3)] = 37 × 6 + 37 × (-3)

(ii) (-21) × [(-6) + (-4)] = (-21) × (-6) + (-21) × (-4)

Solution:

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)

Solution:

Question 4.

Fill in the blanks to make the following true statements:

(i) (-4) × …… = 44

(ii) 7 × …… = -42

(iii) …… × (-13) = 143

(iv) (-5) × …… = 0

Solution:

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?

Solution:

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?

Solution:

Question 7.

(i) Find a pair of integers whose product is -15 and whose difference is 8.

(ii) Find a pair of integers whose product is -36 and whose difference is 15.

Solution: