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Arithmetic is a fundamental branch of mathematics that deals with the study of numbers and the basic operations performed on them. Here are some key terms in arithmetic:
Addition: The operation of finding the total or sum by combining two or more numbers.
Symbol:
+
+
Example:
3
+
5
=
8
3+5=8
Subtraction: The operation of finding the difference between two numbers by removing one from the other.
Symbol:
−
−
Example:
10
−
4
=
6
10−4=6
Multiplication: The operation of finding the product by combining a number a certain number of times.
Symbol:
×
× or
∗
∗
Example:
6
×
3
=
18
6×3=18
Division: The operation of splitting a number into equal parts or groups.
Symbol:
÷
÷ or
/
/
Example:
20
÷
4
=
5
20÷4=5
Integer: A whole number that can be positive, negative, or zero.
Examples:
−
3
,
0
,
7
−3,0,7
Fraction: A part of a whole, expressed as a ratio of two integers, where the numerator is divided by the denominator.
Example:
3
4
4
3
Decimal: A number that includes a decimal point to represent a fraction of a whole.
Example:
0.75
0.75
Percentage: A fraction or ratio with a denominator of 100, expressed with the symbol
%
%.
Example:
50
%
50% (which is equal to
50
100
=
0.5
100
50
=0.5)
Prime Number: A natural number greater than 1 that has no positive divisors other than 1 and itself.
Example:
2
,
3
,
5
,
7
,
11
2,3,5,7,11
Composite Number: A natural number greater than 1 that has more than two distinct positive divisors.
Example:
4
,
6
,
8
,
9
,
10
4,6,8,9,10
Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without a remainder.
Example: GCD of
12
12 and
18
18 is
6
6
Least Common Multiple (LCM): The smallest positive integer that is a multiple of two or more integers.
Example: LCM of
4
4 and
5
5 is
20
20
Even Number: An integer that is exactly divisible by
2
2.
Example:
2
,
4
,
6
,
8
2,4,6,8
Odd Number: An integer that is not divisible by
2
2.
Example:
1
,
3
,
5
,
7
1,3,5,7
These terms form the foundation of arithmetic and are essential for understanding more complex mathematical concepts.
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