Find the product of the smallest 4-digit number and the greatest 2 digit number

Solution :

(i) The given digits are 3,7,2 and 5 :

(a) The greatesst 4 digit number = 7532

(b) And the smallest 4 digit number =2357

(ii)The digits are given ; 6,1,4 and 9 :

(a) The greatesst 4 digit number = 9641

(b) And the smallest 4 digit number =1469

(iii) The digits are given 7,0,4 and 2 :

(a) The greatesst 4 digit number = 7420

(b) And the smallest 4 digit number =2047

(iv) The digits are given 1,8,5 and 3 :

(a) The greatesst 4 digit number = 8531

(b) And the smallest 4 digit number =1358

(v) The digits are given 9,6,0 and 7 :

(a) The greatesst 4 digit number = 9760

(b) And the smallest 4 digit number =6079

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  • What is the product of the largest four-digit and the smallest four-digit number formed by the digits 6, 1, 2 and 4.
  • The correct option is A 9989001Largest 4 digit number = 9999 Largest 3 digit number = 999 Distributive law is a(b+c)=(a+b)c Product of largest 4 digit number and largest 3 digit number is 9999 x 999 = (10000-1) x 999 =10000 x 999 - 1 x 999 =9990000 - 999 =9989001
  • What is the product of smallest 4 digit number and greatest 2 digit number?
  • What is the product of largest 4 digit number?
  • What is the product of largest 2 digit number?
  • What is the product of largest 4 digit number and largest 3digit number?

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What is the product of the largest four-digit and the smallest four-digit number formed by the digits 6, 1, 2 and 4.

Answer

Verified

Hint: Determine the largest four-digit and the smallest four-digit number formed by the digits 6, 1, 2 and 4. Then, multiply them to obtain the answer. Try to figure it out by deciding which digit should be there in a thousand, hundred, tenth and unit place so that the four digit number will be the largest or the smallest number.

Complete step-by-step answer:
To obtain the largest number from the given digits, we need to arrange the numbers in descending order such that the largest digit comes as the first number in the left and the smallest number is in the rightmost digit.
The largest digit is 6, followed by 4, followed by 2 and then 1. Hence, the largest number formed by the digits 6, 1, 2, and 4 is 6421.
To obtain the smallest number from the given digits, we need to arrange the numbers in ascending order such that the smallest digit comes at the leftmost digit and the largest digit is in the rightmost digit. If there is zero, then it must be at the second digit to the left, because if zero is at the leftmost digit, then it is no longer a four-digit number.
The smallest number is formed by 1, followed by 2, followed by 4 and then 6. Hence, the smallest number formed by the digits 6, 1, 2 and 4 is 1246.
We, now, find the product of the numbers 6421 and 1246.
\[6421 \times 1246 = 8000566\]
Hence, the answer is 8000566.

Note: If zero is one of the digits, then you must be careful when expressing the smallest four digit number, zero shouldn’t come at the first digit to the left, then the number becomes three digit.

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