Name the property used in each of the following.
(i) -7/11 × -3/5 = -3/5 × -7/11
(ii) -2/3 × [3/4 + -1/2] = [-2/3 × 3/4] + [-2/3 × -1/2]
(iii) 1/3 + [4/9 + (-4/3)] = [1/3 + 4/9] + [-4/3]
(iv) -2/7 + 0 = 0 + -2/7 = -2/7
(v) 3/8 × 1 = 1 × 3/8 = 3/8
Solution:
(i) -7/11 × -3/5 = -3/5 × -7/11
This is commutative property of multiplication
(ii) -2/3 × [3/4 + -1/2] = [-2/3 × 3/4] + [-2/3 × -1/2]
This Is distributive property of multiplication over addition
(iii) 1/3 + [4/9 + (-4/3)] = [1/3 + 4/9] + [-4/3]
This is associative property of addition
(iv) -2/7 + 0 = 0 + -2/7 = -2/7
This is additive identity property of rational numbers
(v) 3/8 × 1 = 1 × 3/8 = 3/8
This is multiplicative identity property
✦ Try This: Name the property used in each of the following.
(i) -7/9 × -3/5 = -3/5 × -7/9
(ii) -1/3 × (3/4 - 1/2) = (-1/3 × 3/4) + (-1/3 × -1/2)
(iii) 1/3 + (2/9 - 5/3) = (1/3 + 2/9) - 5/3
(iv) -1/7 + 0 = 0 + -1/7 = -1/7
(v) 1/8 × 1 = 1 × 1/8 = 1/8
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1
NCERT Exemplar Class 8 Maths Chapter 1 Problem 124
Name the property used in each of the following. (i) -7/11 × -3/5 = -3/5 × -7/11, (ii) -2/3 × [3/4 + -1/2] = [-2/3 × 3/4] + [-2/3 × -1/2], (iii) 1/3 + [4/9 + (-4/3)] = [1/3 + 4/9] + [-4/3], (iv) -2/7 + 0 = 0 + -2/7 = -2/7, (v) 3/8 × 1 = 1 × 3/8 = 3/8
Summary:
The property used in each of the following are (i) -7/11 × -3/5 = -3/5 × -7/11: commutative property, (ii) -2/3 × [3/4 + -1/2] = [-2/3 × 3/4] + [-2/3 × -1/2]: distributive property, (iii) 1/3 + [4/9 + (-4/3)] = [1/3 + 4/9] + [-4/3]: associative property, (iv) -2/7 + 0 = 0 + -2/7 = -2/7: Additive identity property, (v) 3/8 × 1 = 1 × 3/8 = 3/8: Multiplicative identity property
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