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What do you know about Whole Numbers ??
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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, ...).
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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.
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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 numbers
2) Expanded form of decimal numbers
Expanded form of whole numbers
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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 = 500
the 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.
Expanded form of decimal numbers
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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 = 800
the 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.