Study Guides/Maths/Smallest 5 Digit Number
Study Guide · Maths

Smallest 5 Digit Number — Value and Explanation

The smallest 5-digit number is 10000 (Ten Thousand). A 5-digit number has digits in the ten-thousands, thousands, hundreds, tens, and ones places. To get the smallest 5-digit number, we put 1 in the ten-thousands place and 0 in all other places.

Question (Click to Flip)

What is the smallest 5-digit number?

Answer

The smallest 5-digit number is 10000 (Ten Thousand). It is formed by placing 1 in the ten-thousands place and 0 in the remaining places. Its predecessor is 9999 (the largest 4-digit number).

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Key Facts

Smallest 5-digit number = 10000 (Ten Thousand).

Smallest five digit number = 10000 (same).

Predecessor of 10000 = 9999 (largest 4-digit number).

Successor of 10000 = 10001.

10000 = 10⁴.

Largest 5-digit number = 99999.

Total number of 5-digit numbers = 90000.

What is the Smallest 5-Digit Number?

Smallest 5-digit number = 10000 (Ten Thousand)

Explanation: • A 5-digit number must have a non-zero digit in the ten-thousands place • The smallest non-zero digit = 1 • All other places (thousands, hundreds, tens, ones) use 0 • Therefore: 1, 0, 0, 0, 0 → 10000

Place value breakdown: • Ten-Thousands: 1 (value = 10,000) • Thousands: 0 • Hundreds: 0 • Tens: 0 • Ones: 0 • Total = 10,000

In words: Ten Thousand

Key Number Facts

• Smallest 5-digit number = 10000 • Largest 4-digit number = 9999 • Predecessor of 10000 = 9999 • Successor of 10000 = 10001 • 10000 = 10 × 1000 = 100 × 100 = 10⁴ • In Indian system: 10,000 = 10 thousand

Largest 5-digit number: • 99999 (Ninety-Nine Thousand Nine Hundred Ninety-Nine) • Total 5-digit numbers = 99999 − 10000 + 1 = 90000

Smallest 5-Digit Numbers with Conditions

Smallest 5-digit number using all different digits: • Digits 0, 1, 2, 3, 4 → arrange: 10234 (0 cannot be in first place)

Smallest 5-digit odd number: • 10001 (ends in 1)

Smallest 5-digit even number: • 10000 (ends in 0)

Smallest 5-digit number using digits 3, 0, 7, 1, 5: • Arrange in ascending order: 0, 1, 3, 5, 7 → 10357

Smallest 5-digit number divisible by 5: • 10000 (ends in 0, divisible by 5)

Questions and Answers

What is the smallest 5-digit number?+

The smallest 5-digit number is 10000 (Ten Thousand). It is formed by placing 1 in the ten-thousands place and 0 in the remaining places. Its predecessor is 9999 (the largest 4-digit number).

What is the smallest five digit number?+

The smallest five digit number is 10000. In words, it is Ten Thousand. It comes just after 9999, which is the largest four-digit number.

How many 5-digit numbers are there in total?+

The 5-digit numbers range from 10000 to 99999. Total = 99999 − 10000 + 1 = 90000.

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