1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Verify the following : (i) 37×(56+1213)=(37×56)+(37×1213) (ii) −154×(37+−125)=(−154×37)+(−154×−125) (iii) (−83+−1312)×56=(−83×56)+(−1312×56) (iv) −167×(−89+−76)=(−167×−89)+(−167×−76)

Open in App
Solution

## (i) L.H.S.=37×(56+1213) =37×(65+7278)=37×13778=411546 R.H.S.=(37×56)+(37×1213) =3×57×6+3×127×13=1542+3691 =195+216546=411546 ∴L.H.S.=R.H.S. (ii) L.H.S.=−154×(37+−125) =−154×(15−8435) =−154×6935=1035140 R.H.S.=(−154×37)+(−154×−125) =−15×34×7+−15×(−12)4×5 =−4528+18020=−225+1260140=1035140 ∴L.H.S.=R.H.S. (iii) L.H.S.=(−83+−1312)×56 =−32−1312×56=−4512×56=−22572 R.H.S.=(−83×56)+(−1312×56) =−8×53×6+−13×512×6=−4018+−6572 =−160+(−65)72=−160−6572 =−22572 ∴L.H.S.=R.H.S. (iv) L.H.S.=−167×(−89+−76) =−167×(−16+(−21)18)=−167×−3718 =−16×−377×18=592126 R.H.S.=(−167×−89)+(−167×76) =−16×(−8)7×9+−16×(−7)7×6=12863+11242 =256+336126=592126 ∴L.H.S.=R.H.S.

Suggest Corrections
162
Join BYJU'S Learning Program
Related Videos
Distributive Property of Rational Numbers
MATHEMATICS
Watch in App
Join BYJU'S Learning Program