Question

Exercise 1.3
1. Find the following products:
(1) 7 X (-35)
(ii) (-13) * (-15)
(iii) (-12) x (-11) × (-10)
(iv) (-13) * O * (-24) (v) (-1) (-2) (-3) x 4
(vi) (-3) × (-6) (-2) × (-1)
2. Verify the following:
(i) 37 x [6 + (-3)] = 37 x 6 + 37 (-3)
(ii) (-21) [(-6) + (-4)] = (-21) × (-6) + (-21) × (-4)
3. Using suitable properties, evaluate the following:
(1) 8 x 53 x (-125)
(ii) (-8) (-2) × 3 × (-5)
(iii) (-6) x 2 x (-8) 5
(iv) 15 x (-25) (-4) × (-10)
(v) 26 (-48) + (-48) (-36)
(04) 724 x (-56) + (-724) x 44
(vii) (-47) x 102
(viii) (-39) × (-97)
4. Fill in the blanks to make the following true statements:
(1) (-4) *.1. = 44
(ii) 7 x=6 = -42
(iii) ... *(-13) = 143
(iv) (-5) ~ ... = 0
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?
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​

Answer 1

1. Find the following products :

$(i)7 \times ( - 35) = −245$

$(ii)( - 13) \times ( - 15) = 195$

$(iii)( - 12) \times ( - 11) \times ( - 10) \\ = 132 \times ( - 10) \\ = −1,320$

$(iv)( - 13) \times 0 \times ( - 24) = 0$

$(v)( - 1) \times ( - 2) \times ( - 3) \times 4 \\ 2 \times ( - 3) \times 4 \\ - 6 \times 4 \\ - 24$

$(vi)( - 3) \times ( - 6) \times ( - 2) \times ( - 1) \\ 18 \times ( - 2) \times ( - 1) \\ - 36 \times - 1 \\ 36$

2. Verify the following :

$(i)37 \times (6 + ( - 3)) = 37 \times 6 + 37( - 3) \\ 37 \times (6 - 3) = 37 \times 6 + (−111) \\ 37 \times 3 =222 - 111 \\ 111 = 111$

Hence Verified !

$(ii)( - 21)(( - 6) + ( - 4)) = ( - 21) \times ( - 6) + ( - 21) \times ( - 4) \\ ( - 21)( - 6 - 4) = ( - 21) \times ( - 6) + ( - 21) \times ( - 4) \\ - 21 \times - 10 = ( - 21) \times ( - 6) + ( - 21) \times ( - 4) \\ 210 = 126 + 84 \\ 210 = 210$

Hence verified !

3. Using suitable properties, evaluate the following :

$(i)8 \times 53 \times ( - 125) \\ 424 \times ( - 125) \\ - 53000$

$(ii)( - 8)( - 2) \times 3 \times ( - 5) \\ 16 \times 3 \times ( -5) \\ 48 \times ( - 5) \\ - 240$

$(iii)( - 6) \times 2 \times ( - 8)5 \\ - 12 \times - 40 \\ 480$

$(iv)15 \times ( - 25)( - 4) \times ( - 10) \\ 15 \times 100 \times - 10 \\ 1500 \times - 10 \\ - 15000$

$(v)26( - 48) + ( - 48) ( - 36) \\ - 1248 + 1728 \\ 480$

$(vi)724 \times - 56 + ( - 724) \times 44 \\ - 40,544 + ( - 31,856) \\ - 40,544 - 31,856 \\ −72,400$

$(vii) - 47 \times 102 \\ - 4,794$

$(viii)( - 39) \times ( - 97) \\ 3,783$

Answer 2

Answer:

Step-by-step explanation: