Question

make smallest and greatest 7 digit numbers by repeating the digits 4,7,1,9,0​

Answer 1

Step-by-step explanation:

Can you write the smallest 7-digit numbers using the digits 430598?

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You are only given 6 digits, and asked to form a 7 digit number. So you're going to have to either (a) repeat at least one digit or (b) use another digit that is not on the list. Let's look at the first alternative first. The answer depends on whether you have to use all 6 digits you're given. If not, the smallest positive 7 -digit number using 430498 is 3,000,000. But "smallest" can include negative numbers. The smallest 7 digit number using the given digits but allowing repetition is -9,999,999.

If you have to use all 6 digits (therefore repeating only one digit), the smallest positive 7 digit number is 3,004,589, which uses all 6 digits and repeats the 0. But again "smallest" can be negative. The smallest 7 digit number using all 6 digits and repeating one is -9,985,430, which uses all 6 digits and repeats the 9.

If instead of repeating a digit, you have to use a digit which was not previously given, the smallest positive 7 digit number that qualifies is 3,014,589, with the new digit being 1. But again "smallest" can be negative. The smallest 7 digit number using the 6 given digits and another non-listed digit is -9,875,430, with the new digit being 7.

Answer 2

Answer:

smallest digit - 1000479

greatest digit - 9997410