Transcript Chapter 1: Whole Numbers & Introduction to Algebra

Section 1.2
Place Value and Names
for Numbers
Ten-millions
Millions
Hundred-thousands
Ten-thousands
Thousands
Hundreds
Tens
Ones
Hundred-millions
Billions
Ten-billions
Hundred-billions
The position of each digit in a number
determines its place value.
3
5
6
8
9
4
0
2
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A whole number such as 35,689,402 is written in standard
form. The columns separate the digits into groups of threes.
Each group of three digits is a period.
Hundred-thousands
Ten-thousands
Thousands
Hundreds
Tens
Ones
Ones
Millions
Thousands
Ten-millions
Millions
Hundred-millions
Billions
Ten-billions
Hundred-billions
Billions
3
5
6
8
9
4
0
2
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Ten-millions
Millions
Hundred-thousands
Ten-thousands
Thousands
Hundreds
Tens
Ones
Hundred-millions
Billions
Ten-billions
Hundred-billions
To write a whole number in words, write the
number in each period followed by the name of
the period.
3
5
6
8
9
4
0
2
thirty-five million, six hundred eighty-nine
thousand, four hundred two
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Helpful Hint
The name of the ones period is not used
when reading and writing whole
numbers.
Also, the word “and” is not used when
reading and writing whole numbers. It is
used when reading and writing mixed
numbers and some decimal values as
shown later.
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Standard Form
4,786
=
Expanded Form
4000 + 700 + 80 + 6
The place value of a digit can be used to
write a number in expanded form. The
expanded form of a number shows each
digit of the number with its place value.
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Comparing Whole Numbers
We can picture whole numbers as
equally spaced points on a line called
the number line.
0
1
2
3
4
5
A whole number is graphed by placing
a dot on the number line. The graph of
4 is shown.
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Comparing Numbers . . .
For any two numbers graphed on a
number line, the number to the right is
the greater number, and the number to
the left is the smaller number.
0
1
2
3
4
5
2 is to the left of 5, so 2 is less than 5
5 is to the right of 2, so 5 is greater than 2
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Comparing Numbers . . .
2 is less than 5
can be written in symbols as
2<5
5 is greater than 2
is written as
5>2
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Helpful Hint
One way to remember the meaning of
the inequality symbols < and > is to
think of them as arrowheads “pointing”
toward the smaller number. For
example,
2 < 5 and 5 > 2
are both true statements.
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Reading Tables
Most Medals Olympic Winter (1924 – 2002) Games
Gold
Silver
Bronze
Total
Germany
107
104
86
297
Russia
113
83
78
274
Norway
94
92
74
260
USA
69
71
51
191
Austria
41
57
64
162
Source: The Sydney Morning Herald
Flags courtesy of www.theodora.com/flags used with permission
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