4 Digit Smallest Number
by Lisa, Jul 28 2023
What is a Digit
- In the context of numbers, a "digit" refers to any of the symbols used to write numbers in the decimal system.
- The decimal system is a base-10 numeral system, meaning it uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. These digits can be combined to form different numbers by following specific rules of place value.
What is 4-digit number
- A "4-digit number" is any number that consists of four digits.
- The first digit is the thousands place, the second digit is the hundreds place, the third digit is the tens place, and the fourth digit is the units (or ones) place.
- The smallest 4-digit number is 1000, and the largest is 9999.
Examples of 4-digit numbers
- 1000: This is the smallest 4-digit number. It has a 1 in the thousands place and zeros in the hundreds, tens, and units places.
- 2468: This is a 4-digit number that has 2 in the thousands place, 4 in the hundreds place, 6 in the tens place, and 8 in the units place.
- 5432: In this example, 5 is in the thousands place, 4 in the hundreds place, 3 in the tens place, and 2 in the units place.
- 9999: This is the largest 4-digit number. It has 9 in all four places (thousands, hundreds, tens, and units).
Find the Smallest 4-digit Odd Number
An odd number is a number that cannot be divided evenly by 2, resulting in a remainder of 1 when divided by 2. The smallest 4-digit odd number is 1001.
Example: Imagine you have a group of 1001 colourful marbles. If you want to divide them into pairs, you will have 500 pairs with one marble left. No matter how you pair them up, you will always have one lonely marble without a partner. This is what makes 1001 an odd number.
Find the Smallest 4-digit Even Number
An even number is a number that can be divided evenly by 2, leaving no remainder. The smallest 4-digit even number is 1000.
Example: Now, let's consider a group of 1000 toy blocks. If you want to divide them into pairs, you can perfectly pair them up, leaving no blocks without a partner. Each block has a buddy to play with, and there are no extras. This is what makes 1000 an even number.
Conclusion
In summary, digits are the symbols used in the decimal system to represent numbers, and a 4-digit number is any number that consists of four of these digits.
- The smallest 4-digit number is 1000, and examples include 2468, 5432, and 9999.
- The smallest 4-digit odd number is 1001 because it cannot be divided into pairs without leaving one extra item.
- The smallest 4-digit even number is 1000 because it can be perfectly divided into pairs with no items left over.