. Determine the product of greatest number of three digits and greatest number of two digits using the distributive law of multiplication

. Determine the product of greatest number of three digits and greates

1.	. Determine the product of greatest number of three digits and greatest number of two digits using the distributive law of multiplication
Answer» The largest FIVE digit number in the number system is = 99999Similarly, the largest three digit number in the system is = 999Using Distributive properties which is, a \times (b - c) = (a \times b) - (a \times c)a×(b−c)=(a×b)−(a×c)Therefore, multiplying the largest 5 digit number with largest 3 digit number we get99999 \times 999 = 99999 \times (1000-1)99999×999=99999×(1000−1)Similarly applying distributive properties to the RHS we GET=( 99999 \times 1000)- (99999 \times 1)=(99999×1000)−(99999×1)= 99999000-99999=99999000−99999Therefore, the number formed after multiplication of 5 LARGE digit and 3 large digit is 99999 \times 999 = 99899001.99999×999=99899001.99899001 is the product of largest 5-digit no. and largest 3 -digit no using distributive property.