Exercise 1.2
2. Divide:
(i) 102 by 17
Solution:
Give 102 by 17
We can write given question as 102 17
102 17= |102/17| = |102|/|17 [By applying the mod]
= 102/17 = 6
(ii) –85 by 5
Solution:
Given –85 by 5
We can write given question as -85 5
-85/5 = -17 = |-85/5|= |-85|/|5| [by applying the mod]
(iii) –161 by –23
Solution:
Given -161 by -23
We can write question as -161
– 16-23 = |-161/-23|= |-161|/|-23| [by applying the mod]
= 161/23= 7
(iv) 76 by –19
Solution:
Given 76 by –19
We can write given question as 76-19
76-19 = |76/-19| = |76|/|-19| [by applying the mod]
(v) 17654 by –17654
Solution:
Given 17654 by –17654
We can write given question as 17654 -17654
17654 -17654 = | 17654/-17654| = 17654|/| -17654| [by applying the mod]
(vi) (–729) by (–27)
Solution:
Given (-729) by (-27)
We can write given question as 21590 -10
21590/-10 = | 21590 / -10| = |21590|/|-10| [by applying the mod ]
= 21590 / -10 = -2159
(vii) 21590 by – 10
Solution:
Given 21590 by -10
We can write given question as 21590 ÷ -10
21590 ÷ -10 = |21590/-10| = |21590|/|-10| [by applying the mod]
= 21590/-10 = -2159
(viii) 0 by –135
Solution:
Given 0 by -135
We can write given question as 0-135
0-135 = 0 [because anything is divided by 0we get result as 0]
2. Fill in the blanks:
(i) 296 ÷ …. = – 148
Solution:
We have,
(ii) – 88 ÷ …. = 11
Solution:
(iii) 84 ÷ …. = 12
Solution:
84/12 = 7
(iv) …. ÷ -5 = 25
Solution:
25 × (- 5) = – 125
(v) …. ÷ 156 = – 2
Solution:
– (156 × 2)
= – 312
(vi) x/567 = – 1
Solution:
⇒ x = – (567 × 1)
= – 567
∴ – (567/567) = -1
3. Which of the following statements are true?
(i) 0 ÷ 4 = 0
(ii) 0 ÷ (-7) = 0
(iii) -15 ÷ 0 = 0
(iv) 0 ÷ 0 = 0
(v) (- 8) ÷ (- 1) = – 8
(vi) – 8 ÷ (- 2) = 4<
Solution:
(i) True
(ii) True
(iii) False
(iv) False
(v) False
(vi) True