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Lecture 3: Properties of multiplication of integers

  • Integers Assignments 1

    Verify (–30) × [13 + (–3)] = [(–30) × 13] + [(–30) × (–3)]

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  • Integers Assignments 2

    Find each of the following products:
    (i) (–18) × (–10) × 9 (ii) (–20) × (–2) × (–5) × 7
    (iii) (–1) × (–5) × (– 4) × (– 6)

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  • Integers Assignments 3

    An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach - 350 m.

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  • Integers Assignments 4

    In a class test (+ 3) marks are given for every correct answer and (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores - 5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly? (iii) Rakesh scores 18 marks by attempting 16 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?

     

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  • Integers Assignments 5

    Write five pairs of integers (a, b) such a ÷ b = - 3. One such pair is (6, - 2) because 6 ÷ (- 2) = (- 3).

     

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  • Integers Assignments 6

    Verify that a ÃƒÂ· (b + c) ≠ (a ÃƒÂ· b) + (a ÃƒÂ· c) for each of the following values of a, b and c.

    (a) a = 12, b = -4, c = 2

    (b) a = (- 10), b = 1, c = 1

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  • Integers Assignments 7

    Evaluate each of the following:

    (a)  (b) 

    (c)  (d) 

    (e)  (f) 

    (g) 

    (h)  (i) 

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  • Integers Assignments 8

     

    Replace the blank with an integer to make it a true statement.

    (a) 

    (b) 

    (c) 

    (d) 

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  • Integers Assignments 9

     

    Find the product, using suitable properties:

    (a) 26 x (- 48) + (- 48) x (- 36) (b) 8 x 53 x (-125)

    (c) 15 x (- 25) x (- 4) x (- 10) (d) (- 41) x 102

    (e) 625 x (- 35) + (- 625) x 65 (f) 7 x (50 - 2)

    (g) (- 17) x (- 29) (h) (- 57) x (- 19) + 57

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  • Integers Assignments 10

    Starting from (- 1) x 5, write various products showing some pattern to show (- 1) x (- 1) =1.

     

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  • Integers Assignments 11

    Verify the following:

    (a) 

    (b) 

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  • Integers Assignments 12

     

    Find each of the following products:

    (a) 3 x (- 1) (b) (- 1) x 225

    (c) (- 21) x (- 30) (d) (- 316) x (- 1)

    (e) (- 15) x 0 x (-18) (f) (- 12) x (- 11) x (10)

    (g) 9 x (- 3) x (- 6) (h) (- 18) x (- 5) x (- 4)

    (i) (- 1) x (-2) x (- 3) x 4

    (j) (- 3) x (- 6) x (- 2) x (- 1)

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  • Integers Assignments 13

    Fill in the blanks to make the following statements true:

    (i) (- 5) + (- 8) = (- 8) + (…)

    (ii) - 53 + … = - 53

    (iii) 17 + … = 0

    (iv) [13 + (- 12)] + (…) = 13 + [(- 12) + (- 7)]

    (v) (- 4) + [15 + (- 3)] = [(- 4) + 15] +

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  • Integers Assignments 14

    Write down a pair of integers whose:

    (a) sum is - 7

    (b) difference is - 10

    (c) sum is 0

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  • Integers Assignments 15

    Use the sign of >, < or = in the box to make the statements true.

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  • Integers Assignments 16

     

    Verify a - (-b) = a + b for the following values of a and b.

    (i) a = 21, b = 18

    (ii) a = 118, b = 125

    (iii) a = 75, b = 84

    (iv) a = 28, b = 11

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  • Integers Assignments 17

    In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

    5

    - 1

    - 4

    		    

    1

    - 10

    0

    - 5

    - 2

    7

    		    

    - 4

    - 3

    - 2

    0

    3

    - 3

    		    

    - 6

    4

    - 7

    (i)

    		    

    (ii)

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  • Integers Assignments 18

    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?

     

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  • Integers Assignments 19

     

    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?

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    • Description:-

    Lecture 3:

    Today, we will discuss the third topics, i.e; Properties of multiplication of integers respectively of Chapter 1 Integers.

    OBJECTIVES

    1. Basic concept about Properties of multiplication of integers.

    2.Problems on Properties of multiplication of integers

    .Important Tip: 

    This lecture about Integers is base for the

    further chapters. These topics help in many ways as to understand the and how we can use them. Properties of multiplication of integers. It help you in further studies also.Please go through the

    topic, their notes. Properly do the assignments, watch videos of the concerned

    topics. If you any doubt about any topic/point please submit it in the

    discussion section... it will be answered as soon as possible.

    After all of this... when you fell confident about the particular topic/chapter then take the quiz.

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