Question

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

Answer 1

Answer:

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.