View source for Numbers/Content/What Are Numbers/Normal Numbers

== New Words ==

*''Place Amount''
*''Numeral''

== Lesson ==

=== Normal Numbers ===

Normal numbers are the numbers you use most often.  They show an amount of separate things.  The picture under shows how normal numbers show how many of a thing.  0 (Zero) is a special number for when there is nothing.  

{| class="wikitable" align="center" 
|+ Normal Numbers
|-
| <math>0</math> ||
|-
| <math>1</math> ||  [[image:CountingSquareOrange.svg|15px]]
|-
| <math>2</math> ||  [[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|-
| <math>3</math> ||  [[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|-
| <math>4</math> ||  [[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|-
| <math>5</math> ||  [[image:CountingSquareOrangeFive.svg|75px]]
|- 
| <math>6</math> ||  [[image:CountingSquareOrangeFive.svg|75px]][[image:CountingSquareOrange.svg|15px]]
|- 
| <math>7</math> ||  [[image:CountingSquareOrangeFive.svg|75px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|- 
| <math>8</math> ||  [[image:CountingSquareOrangeFive.svg|75px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|- 
| <math>9</math> ||  [[image:CountingSquareOrangeFive.svg|75px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]][[image:CountingSquareOrange.svg|15px]]
|- 
| <math>10</math> || [[image:CountingSquareOrangeFive.svg|75px]][[image:CountingSquareOrangeFive.svg|75px]]
|-
| <math>20</math> ||  [[image:CountingSquareOrangeTen.svg|75px]][[image:CountingSquareOrangeTen.svg|75px]] 
|-
| <math>100</math> ||  [[image:CountingSquareOrangeOneHundred.svg|150px]]
|}

=== Numerals and Place Amounts ===

A number is one or more signs that are called '''numerals''' (like a word is one or more signs that are called letters).  There are ten numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) that can make most numbers.  Each numeral has a place in a number and shows a different amount when it is in a different place.  The '''place amount''' is the amount a numeral shows in a place.

The first place (going from right to left) has a place amount of one, and it is the Ones Place.  A numeral in the Ones Place shows the normal amount.  The next place has a place amount of ten, and it is the Tens Place.  Numerals in the Tens Place show how many groups of ten.  The next place is the Hundred Place because one hundred is ten groups of ten.  The next place is the Thousand Place because one thousand is ten groups of one hundred.  A place amount is a group of ten of the place amount one place to the right.

{| class="wikitable" align="center" 
|+ The places in a number
|-
| <math>346289</math>'''{{fontcolor|magenta|7}}''' || {{fontcolor|magenta|7 ones}}
|-
| <math>34628</math>'''{{fontcolor|indigo|9}}'''<math>7</math> || {{fontcolor|indigo|9 tens}}
|-
| <math>3462</math>'''{{fontcolor|blue|8}}'''<math>97</math> || {{fontcolor|blue|8 hundred}}
|-
| <math>346</math>'''{{fontcolor|green|2}}'''<math>897</math> || {{fontcolor|green|2 thousand}}
|-
| <math>34</math>'''{{fontcolor|olive|6}}'''<math>2897</math> || {{fontcolor|olive|6 ten thousand}}
|-
| <math>3</math>'''{{fontcolor|DarkOrange|4}}'''<math>62897</math> || {{fontcolor|DarkOrange| 4 hundred thousand}}
|-
| '''{{fontcolor|red|3}}'''<math>462897</math> || {{fontcolor|red|3 million}}
|}

If every number had a special sign, then you would need a big book of signs to know all the numbers.  This system of numerals and place amounts is useful because ten signs can make a very many numbers.

=== More, less, and equal ===

Often it is useful to look at two amounts and show which one is more, less or equal to the other.  Math has special signs to show this.

The ''equals'' sign is two lines like this: "''' = '''".  Use it between two amounts that are the ''same''.  These are some examples:
*<math>5=5</math>
*[[image:CountingSquareOrangeTen.svg]] <math>=</math> [[image:CountingSquareOrangeTen.svg]]
*<math>3462897 = 3462897</math>

The ''more than'' sign is a bent line like this: "''' > '''".  Use it to show that an amount on the left of the sign is ''more'' than an amount on the right.  These are some examples:
*<math>10>5</math>
*[[image:CountingSquareOrangeTen.svg]] <math>></math> [[image:CountingSquareOrangeFive.svg]]
*<math>485>394</math>

The ''less than'' sign is a bent line like this: "''' < '''".  Use it to show that an amount on the left of the sign is ''less'' than an amount on the right.  These are some examples:
*<math>2<3</math>
*[[image:CountingSquareOrange.svg]][[image:CountingSquareOrange.svg]] <math><</math> [[image:CountingSquareOrange.svg]][[image:CountingSquareOrange.svg]][[image:CountingSquareOrange.svg]]
*<math>3887 < 3902</math>

These are some signs people use less often:
*The ''not equal'' sign is this: "''' ≠ '''".  Use it between two amounts that are ''not'' the ''same''.
*The ''more or equal'' sign is this: "''' ≥ '''".  Use it to show that an amount on the left of the sign is ''more'' than or the ''same'' as an amount on the right.
*The ''less or equal'' sign is this: "''' ≤ '''".  Use it to show that an amount on the left of the sign is ''less'' than or the ''same'' as an amount on the right.

== Example Questions ==

== More Questions ==

== Links ==