Replace the blank with an integer to make it a true statement: 5 × _____ = -35
5 × _____ = –35 Solution:- Let us assume the missing integer be x, Now = (5) × (x) =... View Article
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Replace the blank with an integer to make it a true statement: (-3) × _____ = 27
(–3) × _____ = 27 Solution:- Let us assume the missing integer be x, Now = (–3) × (x) =... View Article
A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. (a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss? (b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.
Solution We indicate profit in positive integer and loss in negative integer. (a) Profit gained while selling 1 bag of... View Article
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for questions not attempted. (i) Mohan gets four correct and six incorrect answers. What is his score? (ii) Reshma gets five correct answers and five incorrect answers, what is her score? (iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Solution (i) Mohan gets four correct and six incorrect answers. What is his score? From the given details we get to... View Article
A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?
Solution From the given data we get to know that Initial temperature = 40°C Change in temperature per hour =... View Article
Find the product, using suitable properties: (-57) × (-19) + 57
(–57) × (–19) + 57 Solution:- The given equation is in the form of the Distributive law of Multiplication over... View Article
Find the product, using suitable properties: (-17) × (-29)
(–17) × (–29) Solution:- The given equation is in the form of the Distributive law of Multiplication over Addition. =... View Article
Find the product, using suitable properties: 7 × (50 – 2)
7 × (50 – 2) Solution:- The given equation is in the form of Distributive law of Multiplication over Subtraction.... View Article
Find the product, using suitable properties: 625 × (-35) + (- 625) × 65
625 × (–35) + (– 625) × 65 Solution:- The given equation is in the form of the Distributive law... View Article
Find the product, using suitable properties: (- 41) × 102
(– 41) × 102 Solution:- The given equation is in the form of the Distributive law of Multiplication over Addition.... View Article
Find the product, using suitable properties: 15 × (-25) × (- 4) × (-10)
15 × (–25) × (– 4) × (–10) Solution:- The given equation is in the form of the Commutative law... View Article
Find the product, using suitable properties: 8 × 53 × (-125)
8 × 53 × (–125) Solution:- The given equation is in the form of the Commutative law of Multiplication. =... View Article
Find the product, using suitable properties: 26 × (- 48) + (- 48) × (-36)
26 × (– 48) + (– 48) × (–36) Solution:- The given equation is in the form of the Distributive... View Article
Determine the integer whose product with (-1) is (a) -22 (b) 37 (c) 0
Solution On multiplying -22 with (-1), we get = -22 × (-1) = 22 O multiplication of an integer -22... View Article
Verify the following: (-21) × [(- 4) + (- 6)] = [(-21) × (- 4)] + [(-21) × (- 6)]
Solution From the given data On considering the Left Hand Side (LHS) first = (–21) × [(– 4) + (–... View Article
Verify the following: 18 × [7 + (-3)] = [18 × 7] + [18 × (-3)]
Solution From the given data On considering the Left Hand Side (LHS) first = 18 × [7 + (–3)] = 18... View Article
Find the following product: (-3) × (-6) × (-2) × (-1)
Solution [(–3) × (–6)] × [(–2) × (–1)] By the rule of Multiplication of integers, = [(–3) × (–6)] ×... View Article
Find the following product: (-1) × (-2) × (-3) × 4
Solution [(–1) × (–2)] × [(–3) × 4] By the rule of Multiplication of integers, = [(–1) × (–2)] ×... View Article
Find the following product: (-18) × (-5) × (- 4)
Solution (-18) × (-5) × (-4) By the rule of Multiplication of integers, = (-18) × (-5) × (-4) First... View Article
Find the following product: 9 × (-3) × (- 6)
Solution 9 × (-3) × (-6) By the rule of Multiplication of integers, = 9 × (-3) × (-6) First... View Article
