Numbers

4-digit numbers are numbers from 1000 to 9999. They have four places: Thousands, Hundreds, Tens and Ones. The smallest 4-digit number is 1000 and the largest is 9999.

Place value is the value of a digit depending on its position. In 3,482 the 3 stands for 3 Thousands (3000), 4 for 4 Hundreds (400), 8 for 8 Tens (80) and 2 for 2 Ones (2). The same digit is worth different amounts in different places.

Expanded form shows a number as the sum of the place values of its digits. For example, 3,526 = 3000 + 500 + 20 + 6.

Standard form is the usual way of writing a number with digits. Adding an expanded form gives the standard form: 2000 + 300 + 40 + 5 = 2,345. Being able to switch between the two builds strong number sense.

We compare numbers using > (greater than), < (less than) and = (equal to). First compare the number of digits — more digits means a larger number. If the digit counts are equal, compare the Thousands place, then Hundreds, then Tens, then Ones.

Ascending order means smallest to largest; descending order means largest to smallest. This helps us rank marks, prices and distances.

The successor of a number is 1 more than it — the successor of 2,599 is 2,600. The predecessor is 1 less — the predecessor of 5,000 is 4,999.

Skip counting means counting by a fixed jump such as 2, 3, 4, 5 or 10. For example, skip counting by 3 gives 3, 6, 9, 12. It builds multiplication skills.

Even numbers end in 0, 2, 4, 6 or 8 and can be split into two equal groups. Odd numbers end in 1, 3, 5, 7 or 9 and leave a remainder of 1 when divided by 2.

To form the smallest number from given digits, arrange them in ascending order, but never put 0 first. For the largest number, arrange them in descending order. For digits 3, 0, 8, 1: largest = 8,310 and smallest = 1,038 (0 cannot be first).