Question

Verify the following. i) -22× [(-3) + 23] = (-22) × (-3) + (-22) × 23. (ii) 13 × [7+(-8)] =13 × 7+13 × (-8). (iii) (-11) × [(-5) +(-9)]=(-11)×(-5)+(-11)×(-9). please solve ​

Answer 1

(i) -22×[(-3)+23]=(-22)×(-3)+(-22)×23

solution,

-22×[(-3)+23]=(-22)×(-3)+(-22)×23

-22[-3+23]=(-22)×(-3)+(-22)×23

-22×20=66-506

-440=-440 prove

(ii)13×[7+(-8)]=13×7+13×(-8)

solution,

13×[7+(-8)]=13×7+13×(-8)

13×[7-8]=13×7+13×(-8)

13×(-1)=91-104

-13=-13 prove

(iii)(-11)×[(-5)+(-9)]=(-11)×(-5)+(-11)×(-9)

solution,

(-11)×[(-5)+(-9)]=(-11)×(-5)+(-11)×(-9)

(-11)×[-5-9]=(-11)×(-5)+(-11)×(-9)

(-11)×(-14)=(-11)×(-5)+(-11)×(-9)

154=55+99

154=154 prove