Question

3. Find the value of the following.
() 14+(-3) 11
(i)-9-7+(-6)
(1) 15-(-6)+(-7)
(iv) 4+(-11) + (-6)-(-2)
(v) -3-(-7)+(-5)
(vi) 6+8+(-12)-(4)
6 with full solution​

Answer 1

Answer:

I) 14+(-3) 11

(14-3) 11

11×11

121

ii) -9-7+(-6)

-16-6

-22

iii) 15-(-5) +(-7)

15+5-7

20-7

13

iv) 4+(-11) +(-6) -(-2)

4-11-6+2

4-17+2

6-17

-11

v) -3-(-7) +(-5)

-3+7-5

-8+7

-1

vi) 6+8+(-12) -(4)

14-12-4

14-16

-2

Answer 2

Answer:

Using appropriate properties, find:

(i) -2/3 * 3/5 + 5/2 – 3/5 * 1/6 (ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

Answer:

(i) -2/3 * 3/5 + 5/2 – 3/5 * 1/6

= -2/3 * 3/5 – 3/5 * 1/6 + 5/2 [Using associative property]

= 3/5 * (-2/3 – 1/6) + 5/2 [Using distributive property]

= 3/5 * {(-4 - 1)/6} + 5/2 [LCM (3, 2) = 6]

= 3/5 * (-5/6) + 5/2

= -3/6 + 5/2

= -1/2 + 5/2

= (-1 + 5)/2

= 4/2

= 2

(ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

= 2/5 * (-3/7) + 1/14 * 2/5 – 1/6 * 3/2 [Using associative property]

= 2/5 * (-3/7 + 1/14) – 1/2 * 1/2 [Using distributive property]

= 2/5 * {(-6 + 1)/14} – 1/4 [LCM (7, 14) = 14]

= 2/5 * (-5/14) – 1/4

= -1/7 – 1/4

= (-4 -7)/28 [LCM (7, 4) = 28]

= -11/28