Question

Write the smallest 5-digit number using three digits with 7 in the thousand’s place.
(a). 77710
(b). 17001
(c). 07100
(d). 17000

Answer 1

Hint: Choose the smallest three digits along with 7 as one number. Then form the smallest five-digit number using these three digits with 7 in the thousand’s place and remember 0 should not be the first digit.

Complete step-by-step answer:
We need to form a 5-digit number using only three digits and the digit 7 in the thousand’s place.
Hence, out of the three digits, 7 is a compulsory digit and we choose the other two smallest digits which are 1 and 0.
Now, thousands place is the second digit from the left, hence, we place 7 in that place:
_ 7 _ _ _
Next, we have the digits 0, 1, and 7. The ten thousand’s place should be filled with the smallest digit, the smallest digit is 0 but if we place zero in the ten thousand’s place, then it is no longer a 5-digit number. Hence, we place the digit 1 in the ten thousand’s place.
1 7 _ _ _
We now have to fill the last 3 digits, we need to fill it with the smallest digit out of 0, 1, and 7 which is 0.
1 7 0 0 0
Hence, the number we require is 17,000.
Hence, the correct answer is option (d).

Note: Seeing the options, you might see that 07100 is the smallest number out of the four numbers, and attempt to choose it but it is wrong since 07100 is a four-digit number.