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