7. Determine the product of greatest number of three digits and greatest number of two digits using the distributive law of multiplication.
Answers
The largest five digit number in the number system is = 99999
Similarly, the largest three digit number in the system is = 999
Using 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 get
99999 \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=99999000−99999
Therefore, 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.