Student can define whole numbers, map them on a number line, and find successors/predecessors.
Introduce the inclusion of zero to form whole numbers.
How many legs does a spider have? Eight. How many paise are in one rupee? One hundred. To answer these everyday questions, we use counting numbers:
These counting numbers form the system of Natural Numbers.
Visual of whole numbers mapped on a line.
Successor: one more than a number
So, 51 is the successor of 50.
Predecessor: one less than a number
So, 49 is the predecessor of 50.
Remember: has no predecessor in whole numbers.
Forming the smallest number without starting with zero.
Rearrange the digits of to form the smallest 8-digit number.
Guided practice using repeating digits.
We are asked to write the greatest 4-digit number using the digits 5, 0, and 2, where digits may repeat. Any 4-digit number occupies four places, which are thousands, hundreds, tens, and ones.
To make the number as large as possible, we must place the largest digit in the highest place values. Since is the largest digit available here, it will occupy most of the places in our required number. The rest of the digits will occur only once.
To ensure the number is the greatest possible, we arrange these remaining digits in order.
Following these steps, the required 4-digit number will be .
Test conceptual boundary cases for whole numbers.
What is the predecessor of the smallest 5-digit number?