from a handpicked tutor in LIVE 1-to-1 classes

# 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.

**☛ Related Questions:**

- A Certain Freezing Process Requires That Room Temperature Be Lowered From 40c At The Rate Of 5c Every Hour What Will Be The Room Temperature 10 Hours After The Process Begins
- In A Class Test Containing 10 Questions 5 Marks Are Awarded For Every Correct Answer And 2 Marks Are Awarded For Every Incorrect Answer And 0 For Questions Not Attempted
- A Cement Company Earns A Profit Of Inr 8 Per Bag Of White Cement Sold And A Loss Of Inr 5 Per Bag Of Grey Cement Sold
- Replace The Blank With An Integer To Make It A True Statement A 3 X 27 B 5 X 35 C X 8 56 D X 12 132

visual curriculum