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WHOLE NUMBERS :

Place Values & Expanded Form

WHOLE NUMBERS :

What do you know about Whole Numbers ??

The set of whole numbers includes the counting numbers and 0. The whole numbers are 0, 1, 2, 3, 4, 5, ...

The term whole numbers does not have a consistent definition. The term 'whole numbers' means a set of collection of numbers including all integers.

For example :

the nonnegative integers (0, 1, 2, 3, ...) the positive integers (1, 2, 3, ...) all integers (..., -3, -2, -1, 0, 1, 2, 3, ...).

Place Values The position, or place, of a digit in a number written in standard

form determines the actual value the digit represents.

Table below shows the place value for various positions:

Example: The number 721040 has a 7 in the hundred thousands place, a

2 in the ten thousands place, a 1 in the thousands place, a 4 in the tens place, and a 0 in both the hundreds and ones place.

Expanded Form

Expanded Form is a way to break up a number to show how much each digit in the number represents. In other words, expanded form is the method of pulling a number apart and expressing it as a sum of the values of each digit.

The best way to identify the expanded form of a number is to simply write the number in words

There are two types of expanded form :

1) Expanded form of whole numbers2) Expanded form of decimal numbers

Cont.Expanded form of whole numbers

In order to understand expanded form better, one needs to be good at place value.

Consider the number 543. Arrange the digits in a place value chart as shown below.

From the chart above, we see that:             the value of 5 is 5 × 100  = 500the value of 4 is 4 × 10 = 40 the value of 3 is 3 × 1=3

           Therefore, the expanded form of the number 543 is 500 + 40 + 3.

Cont.Expanded form of decimal numbers  Consider the decimal 892.15. Arrange the digits in a

place value chart as shown below.

From the chart above, we see that:the value of 8 is 8 × 100 = 800the value of 9 is 9 × 10 = 90 the value of 2 is 2 × 1 = 2

 

           Therefore, the expanded form of the number 892.15 is 800 + 90 + 2 + 0.1 +

0.05.

Basic Math: Whole numbers - Place values and Expanded form by Open University Malaysia is licensed under a Creative Commons Attribution-Noncommercial 3.0 Unported License. Based on a work at http://oer.oum.edu.my. Permissions beyond the scope of this license may be available at http://www.oum.edu.my.