Let a, b, c be the three rational numbers where a = 2/3, b = 4/5 and c = -5/6
Verify:
(i) a + (b + c) = (a + b) + c (Associative property of addition)
(ii) a × (b × c) = (a × b) × c (Associative property of multiplication)
Solution:
Given a = 2/3, b = 4/5 and c = -5/6
(i) a + (b + c) = (a + b) + c: associative property
LHS: 2/3 + (4/5 - 5/6)=19/30
RHS: (2/3 + 4/5) - 5/6 =19/30
LHS = RHS
(ii) a × (b × c) = (a × b) × c
LHS: 2/3 × (4/5 × -5/6) = -4/9
RHS: (2/3 × 4/5) × -5/6 = -4/9
LHS = RHS
Hence proved.
✦ Try This: Let a, b, c be the three rational numbers where a = 1/2, b = 3/5 and c = -1/3 Verify: (i) a + (b + c) = (a + b) + c (Associative property of addition), (ii) a × (b × c) = (a × b) × c (Associative property of multiplication)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1
NCERT Exemplar Class 8 Maths Chapter 1 Sample Problem 12
Let a, b, c be the three rational numbers where a = 2/3, b = 4/5 and c = -5/6. Verify: (i) a + (b + c) = (a + b) + c (Associative property of addition), (ii) a × (b × c) = (a × b) × c (Associative property of multiplication)
Summary:
Let a, b, c be the three rational numbers where a = 2/3, b = 4/5 and c = -5/6. Hence, the associative property of addition and multiplication is verified
☛ Related Questions:
visual curriculum