Question

4. Find the product using suitable properties: a) -58 x 105 b) 4x(-17) (-25)​

Answer 1

Answer:

(a) 26 × (– 48) + (– 48) × (–36)

(– 48) [ 26 +(–36) ]

(– 48) × [-10]

= 480

(b) 8 × 53 × (–125)

53\times[8\times(-125)]

53\times\left(-1000\right)

=\ -53000

(c) 15 × (–25) × (– 4) × (–10)

15\times\left(-1000\right)\ =-15000

(d) (– 41) × 102

-41\times\left[100+2\right]

-41\ \times\ 100\ +\left[\left(-41\right)\times2\right]

-4100+\left(-82\right)\ \ =\ -4182

(e) 625 × (–35) + (– 625) × 65

625\times\left[\left(-35\right)+\left(-65\right)\right]

625\times\left(-100\right)\ \ =\ -62500

(f) 7 × (50 – 2)

7\times50-7\times2

350-14\ \ =\ 336

(g) (–17) × (–29)

(-17)\times\left[(-30)\ +1\right]

\left(-17\right)\times30\ +\ \left(-17\right)\times1\

510\ +\left(-17\right)\ =\ 493

(h) (–57) × (–19) + 57

\left(-57\right)\times\left(-19\right)+57\times1

57\times\left(19+1\right)

57\ \times\ 20\ =1140