Page 3 - Arithmetic
P. 3
Arithmetic Concept Review
The review of arithmetic starts with integers, fractions, moves on to decimals, and ends with real numbers. You’re already familiar with some of the basics of addition, subtraction, division, and multiplication of whole numbers (0,1,2.....).
When performing the basic operations in arithmetic, you deal with many groups of numbers.
Integers
The numbers ...-3, -2, -1, 0, 1, 2, 3... are called the integers. Negative integers are numbers on the left of zero on a number line (....-3, -2, -1) and positive integers are numbers on the right of the number line. These are also called natural numbers.
Rational numbers
The number which can be represented in the form of a fraction a/b is called a rational number, where both ‘a’, and ‘b’ are integers and ‘b’ is not zero.
For example,
31 = 13
44
1.25 = 5 4
4 = 4 , you can represent all integers over 1 because of this reason; all integers 1
are rational numbers.
Irrational numbers
On the contrary, irrational numbers are those which you cannot express as a fraction. For example,
3
√3, √5, π, and so on.
Prime numbers
Any natural number greater than 1 that can only be divided by 1 and itself is called a prime
number.
For example,
5 is a prime number as it’s divisible only by 1 and 5.
10 is not a prime number as it’s divisible by 1, 2, 5, and 10.
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Arithmetic Concept