Showing posts with label whole number. Show all posts
Showing posts with label whole number. Show all posts

Monday, November 20, 2017

TYPES OF NUMBERS

Types of Numbers
(Source: http://web.mst.edu/~kosbar/test/ff/elem/typesofnumbers.html)

There are many different types of numbers

(Image from https://www.slideshare.net/AdilAslam4/numbers-and-its-types-in-mathematics)

1. NATURAL or COUNTING NUMBERS = are the set of numbers that you learn as a child to use to count how many objects you see. These numbers are 1, 2, 3, 4, 5, 6, and soon. Sometimes they are also referred to as POSITIVE INTEGERS.

2. WHOLE NUMBERS = these numbers are ALL the Natural or Counting Numbers PLUS ZERO (o). In essence, they are 0, 1, 2, 3, 4, 5, 6, and soon. They are also called NON-NEGATIVE INTEGERS.

3. INTEGERS = these are ALL whole numbers INCLUDING their NEGATIVE counterparts. These are 0, 1, 2, 3, 4, 5, and soon AND -1, -2, -3, -4, -5 and soon.

4. RATIONAL NUMBERS = any number that can be expressed as a RATIO of INTEGERS, or as a FRACTION. Rational numbers include ALL INTEGERS and their FRACTIONS such as 0, 2, 4, 2/3, - 3 . -8, -4/5, -45/37, etc.
All rational numbers have a DECIMAL equivalent. For example,
a) 1/5 = 0.200....
b) 5/7 = 2/3 = 0.66666 ...
c) 1/7 = 0.142857142857142857...
The decimal equivalent of rational numbers always end in a repeating digit, or a series of digits. Reference the above examples, we can see that the repeating digit of 1/5 is 0; the repeating digits of 2/3 is 6; and 1/7 ends with the sequence 14285 repeating forever.

5. IRRATIONAL NUMBERS =  are numbers that have a decimal equivalent; however they don't have a repeating digit or series of digits. This also means that one cannot find a ratio of integers that is exactly equal to the number. Common examples of irrational numbers are the square root of 2 and π (pi).

6. REAL NUMBERS = include ALL the RATIONALS and ALL the IRRATIONALS. All the different types of numbers from 1 to 5 are REAL NUMBERS.

7. IMAGINARY NUMBERS = any real number multiplied by the square root of -1. Often the square root of -1 is referred to as i or j. So an imaginary number can be written as 3.2i or -8.77j. It is OK to use irrational multiplying numbers, so πj is a perfectly reasonable imaginary number.


8. COMPLEX NUMBERS = any real number ADDED to any IMAGINARY number, such as 4 + 6i, 2/3 + 25j, etc. 

Thursday, March 26, 2009

Aralin Blg. 1 - Numbers (Ang Mga Bilang o Numero)

Umpisahan natin ang ating leksyon sa konsepto ng bilang. Sang-ayon sa Wikipedia, ang bilang ay isang konsepto sa Matematika na gamit sa pagbilang at pagsukat. Ang simbolong kumakatawan sa bilang ay tinatawag na numeral, ngunit sa pangkaraniwang gamit ng salita, ang numero o bilang ay gamit bilang isang abtraktong bagay at ang sinisimbolo nito

Whole Numbers and Integers

Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, … (and so on)
No Fractions!

Ang mga whole numbers o buong bilang ay ang mga numerong 0, 1, 2, 3, 4, 5, 6,... at iba pa.
Hindi kasapi rito ang mga Fractions ( 1/2, 3/4, 23/45) o mga decimals ( 0.25, .0133, 0.245)
Counting Numbers are Whole Numbers, but without the zero. Because you can't "count" zero. So they are 1, 2, 3, 4, 5, … (and so on).
Ang mga counting numbers ay mga buong bilang nguni't hindi kasama ang zero (0). Kaya ang mga counting numbers ay 1, 2, 3, 4, 5,... at iba pa.


"Natural Numbers" can mean either "Counting Numbers" (1, 2, 3, etc), or "Whole Numbers" (0, 1, 2, 3, etc), there is disagreement on the definition.
Ang mga natural numbers ay maaaring ang mga counting numbers o ang mga whole numbers.

Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed!

Ang mga integers (kabuuan) ay tulad ng mga whole numbers ngunit kabilang din dito ang mga negative numbers. Hindi kasama rito ang mga hating-bilang (fractions).
Ang mga kabuuan ay maaating negatibo ( -1, -2, -3, at iba pa) , positibo ( 1,2,3,4,...), at zero (0).
So, integers can be negative (-1, -2,-3, -4, -5, … ), positive (1, 2, 3, 4, 5, … ), and zero (0)

Sa pag-aaral ng mga integers, dapat nating alalahanin ang number line (linyang bilang) gaya nasa itaas. Mapapansin na ang pinakagitna ng number line ay ang numerong zero (0). Sa kaliwa ng zero ay ang mga negatibong integers at sa kanan naman ay ang mga positibong integers.
(From www.mathisfun.com)