Question

2. Name the properly.
a) 19+63=63=19
b) 20=0=20
c) (20+3) + 16=20+ (3+16)
d) (68X4) X 20=68 X (4X20)
e) 20 X 30 = 30 X 20
f) 87 - 41 = 41 - 87
g) 7 x (6-3)= 7 x 6-7x3
h) 12 x (50 + 15) = 12 x 50 + 12 x 15​

Answer 1

Solution :-

a) 19+63 = 63 + 19

→ a + b = b + a

→ commutative property of addition .

so,

→ 19 + 63 = 63 + 19

→ 82 = 82

b) 20 - 0 = 20

→ subtractive identity .

→ a - 0 = a

so,

→ 20 - 0 = 20

c) (20+3) + 16=20+ (3+16)

→ (a + b) + c = a + (b + c)

→ Associative property of addition .

so,

→ (20+3) + 16=20+ (3+16)

→ 23 + 16 = 20 + 19

→ 39 = 39

d) (68X4) X 20=68 X (4X20)

→ (a *b) * c = a * (b * c)

→ Associative property of multiplication .

so,

→ (68X4) X 20=68 X (4X20)

→ 272 * 20 = 68 * 80

→ 5440 = 5440

e) 20 X 30 = 30 X 20

→ a * b = b * a

→ commutative property of multiplication .

so,

→ 20 * 30 = 30 * 20

→ 600 = 600

f) 87 - 41 = 41 - 87

→ a - b ≠ b - a

→ commutative property of subtraction is not possible .

as we can see that,

→ 87 - 41 ≠ 41 - 87

→ 46 ≠ (-46)

g) 7 x (6-3)= 7 x 6-7x3

→ a * (b - c) = a * b - a * c

→ Distributive property of multiplication over subtraction .

so,

→ 7 x (6-3)= 7 x 6-7x3

→ 7 * 3 = 42 - 21

→ 21 = 21

h) 12 x (50 + 15) = 12 x 50 + 12 x 15

→ a * (b + c) = a * b + a * c

→ Distributive property of multiplication over addition .

so,

→ 12 x (50 + 15) = 12 x 50 + 12 x 15

→ 12 * 65 = 600 + 180

→ 780 = 780

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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