Question

Find the product of the greatest number of four digits and the greatest number

of three digits by using properties of multiplication. Also name the property

used.​

Answer 1

Answer:

9999\times 999=99890019999×999=9989001

Step-by-step explanation:

To find : The product of the greatest 4 digit number and the greatest 3 digit number using the properties of whole number ?

Solution :

The greatest 4 digit number is 9999.

The greatest 3 digit number is 999.

The product of the greatest 4 digit number and the greatest 3 digit number

i.e. 9999\times 9999999×999

We can split, 999=1000-1

So, 9999\times (1000-1)9999×(1000−1)

Applying distributive property of whole number,

Multiplication of a whole number is distributed over the difference of the whole numbers i.e. a(b-c)=ab-aca(b−c)=ab−ac

9999\times (1000-1)=9999\times 1000-9999\times 19999×(1000−1)=9999×1000−9999×1

9999\times (1000-1)=9999000-99999999×(1000−1)=9999000−9999

9999\times (1000-1)=99890019999×(1000−1)=9989001

Therefore, The required product is 9999\times 999=99890019999×999=9989001