# Number Systems

## Introduction to Numbers and Place Value

Digits are symbols that are used to represent numbers in maths. The number system which we use nowadays includes 10 unique digits which vary from 0 to 9. In any number, each digit holds a different place value and a place name. For example, in the number 357, all three digits have different place value. Place value and place name form the basis of understanding numbers. Eventually lending themselves to higher-order concepts like successor, predecessor, ordering and comparing numbers, operating on numbers etc.

## The Big Idea

Numbers and place values are simple concepts. But one that children really need to master to be successful in math. It is for this reason that rote learning should not be encouraged. These concepts are connected to concepts like place names, face value, expansion of numbers, predecessor and successor, skip counting, comparing and ordering numbers, arithmetic operations etc. At Cuemath we ensure that children are exposed to place values and place names gradually. We use visual aids to ensure that this understanding is concrete.

Numbers and place values are simple concepts. But one that children really need to master to be successful in math. It is for this reason that rote learning should not be encouraged. These concepts are connected to concepts like place names, face value, expansion of numbers, predecessor and successor, skip counting, comparing and ordering numbers, arithmetic operations etc. At Cuemath we ensure that children are exposed to place values and place names gradually. We use visual aids to ensure that this understanding is concrete.

## How do I understand?

At the kindergarten level, colour counters are used for counting numbers up to 20. Manipulatives like Base-10 blocks can also be used. Given below is a small description of Base-10 blocks. They work best to explain the concepts of numbers and place values. It will also help children visualise the largeness and smallness of the numbers. The concept of place values can be introduced through abacus. Given below is a small description of how the abacus looks like and what its features are.

Thousands place (Th) has 2 beads and the place name is ‘thousands’. So the value is 2000(2 thousands). The ‘hundreds’ place has 1 bead. Its value is 100(1 hundred). Tens place have 5 beads to represent the value 50. Units place has 8 beads to represent 8 ones. In total, the number represented in abacus is 2158 (two thousand one hundred fifty-eight).

## Important Topics

Given below are the list of topics that are closely connected to Numbers and place value. These topics will give you a glimpse of how these topics are covered in Cuemath. Also, you can download free worksheets to practice this better.