Question

using suitable properties, evaluate the following b. 695 (-25) x (-10) (-4) d. 128 x 98 f. 482 x (-4) + (-482) x6 h. 73 x 540 - (-73) x 460 ​

Answer 1

Answer:

Step-by-step explanation:

a) 26 × (– 48) + (– 48) × (–36)

(– 48) [ 26 +(–36) ]

(– 48) × [-10]

= 480

(b) 8 × 53 × (–125)

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

53×(−1000)53\times\left(-1000\right)53×(−1000)

= −53000=\ -53000= −53000

(c) 15 × (–25) × (– 4) × (–10)

15×(−1000) =−1500015\times\left(-1000\right)\ =-1500015×(−1000) =−15000

(d) (– 41) × 102

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

−41 × 100 +[(−41)×2]-41\ \times\ 100\ +\left[\left(-41\right)\times2\right]−41 × 100 +[(−41)×2]

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

(e) 625 × (–35) + (– 625) × 65

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

625×(−100)  = −62500625\times\left(-100\right)\ \ =\ -62500625×(−100)  = −62500

(f) 7 × (50 – 2)

7×50−7×27\times50-7\times27×50−7×2

350−14  = 336350-14\ \ =\ 336350−14  = 336

(g) (–17) × (–29)

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

(−17)×30 + (−17)×1 \left(-17\right)\times30\ +\ \left(-17\right)\times1\ (−17)×30 + (−17)×1

510 +(−17) = 493510\ +\left(-17\right)\ =\ 493510 +(−17) = 493

(h) (–57) × (–19) + 57

(−57)×(−19)+57×1\left(-57\right)\times\left(-19\right)+57\times1(−57)×(−19)+57×1

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

57 × 20 =114057\ \times\ 20\ =114057 × 20 =1140