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What are the Basic Building Blocks of Mathematics, Integers and more

Updated on December 8, 2012

Digits!

Digits
Digits | Source

Numbers!

Numbers are everywhere in math and they can be sorted into a variety of different titles and attributes.

It all starts with ten very simple things. They are one of the first concepts we teach children at a young age. My two year old like to sing song them. They are Digits

The digits are any of these ten numbers that all other numbers are created from 0,1,2,3,4,5,6,7,8,9.


What Type of Number is it?

Integer - all positive or negative numbers and zero

integers do not include fractions, decimals, or mixed numbers


Natural or Counting Numbers - The positive integers we use for counting 1,2, 3,4


Consecutive Numbers - numbers that are next to each other in order


Positive and Negative Numbers

Positive Numbers - any number greater than zero, to the right of zero on a number line.

Positive numbers are assumed positive without a sign in front of the numbers unlike negative numbers but is it not wrong to write a + sign in front of a positive number.

Negative Numbers - Any number less than zero or to the left of zero on the number line.

Negative numbers must all have a minus sign in front of the number

Even & Odd Numbers

Any integer (theres that word again!) that can be divided by 2 without a remainder is an Even Number

That means that any integer that ends in 0, 2, 4, 6, or 8 is an even number.


Any integer that cannot be divided by 2 without leaving a remainder is an odd number.

Any integer that ends in 1,3,5,7,9 is an odd number.

Prime & Composite Numbers

Prime - a number that can only be divided by 1 and itself.

2, 3, 5, 7, 11, 13, 17 and so on

note that 2 is the only even prime number

Composite - Any number that has more than two factors.

1 is neither prime nor composite!

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