Find the product, using suitable properties:
(a) 26 × (– 48) + (– 48) × (–36)
(b) 8 × 53 × (–125)
(c) 15 × (–25) × (– 4) × (–10)
(d) (– 41) × 102
(e) 625 × (–35) + (– 625) × 65
(f) 7 × (50 – 2)
(g) (–17) × (–29)
(h) (–57) × (–19) + 57
Solution:
a) 26 × (-48) + (-48) × (-36)
Using distributive property, we get
(a × b) + (b × c) = b × (a + c)
= (-48) × [26 + (-36)]
= (-48) × [26 - 36]
= (-48) × (-10)
= 480
b) 8 × 53 × (-125)
Using associative property, we get
(a × b) × c = a × (b × c)
= 8 × (53 × -(125))
= 8 × -6625
= -53000
c) 15 × (-25) × ( -4) × (-10)
Using associative property, we get
= 15 × [(-25) × (-4) × (-10)]
= 15 × [(100) × (-10)]
= 15 × (-1000)
= -15000
d) (-41) × 102
Using distributive law, we get
= (-41) × (100 + 2)......[a × (b + c)] = (a × b + a × c)
= (-41) × 100 + (-41) × 2
= -4100 - 82
= -4182
e) 625 ×(-35) × (-625) × 65
Using distributive property, we get
= 625 × [(-35) + (-65)].....[a × b + a × c = a(b + c)]
= 625 × [-35 - 65]
= 625 × [-100]
= -62500
f) 7 × (50 - 2)
Using distributive property, we get
= 70 × (50 -2).....[a × (b - c) = (a × b) - (a × c)]
= [(7 × 50) - (7 × 2)]
= 350 - 14
= 336
g) (-17) × (-29)
Using distributive property, we get
= (-17) × [(-30) + 1].....[a ×(b + c) = a × b + a × c]
= (-17) × (-30) + (-17) × 1
= 510 + (-17)
= 493
h) (-57) × (-19) + 57
Using distributive property, we get
= (-57) × (-19) + 57 × 1…..[a × b + a × c = a(b + c)]
= 57 × (19 + 1)
= 57 × 20
= 1140
☛ Check: NCERT Solutions Class 7 Maths Chapter 1
Video Solution:
Find the product, using suitable properties: (a) 26 × (– 48) + (– 48) × (–36) (b) 8 × 53 × (–125) (c) 15 × (–25) × (– 4) × (–10) (d) (– 41) × 102 (e) 625 × (–35) + (– 625) × 65 (f) 7 × (50 – 2) (g) (–17) × (–29) (h) (–57) × (–19) + 57
NCERT Solutions Class 7 Maths Chapter 1 Exercise 1.3 Question 5
Summary:
The product of the following, using suitable properties: (a) 26 × (– 48) + (– 48) × (–36) (b) 8 × 53 × (–125) (c) 15 × (–25) × (– 4) × (–10) (d) (– 41) × 102 (e) 625 × (–35) + (– 625) × 65 (f) 7 × (50 – 2) (g) (–17) × (–29) (h) (–57) × (–19) + 57 are a) 480 , b) -53000 , c) -15000 , d) -4182 , e) -62500, f) 336 , g) 493, h) 1140.
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