Basic operations in numbers refer to fundamental mathematical operations that can be performed on numbers. These operations include:
- Addition: Combining two or more numbers to find their sum.
Example: 2 + 3 = 5 - Subtraction: Finding the difference between two numbers.
Example: 7 – 4 = 3 - Multiplication: Repeated addition of a number (the multiplicand) by another number (the multiplier) to find the product.
Example: 3 x 4 = 12 - Division: Splitting a number (the dividend) into equal parts by another number (the divisor) to find the quotient.
Example: 10 ÷ 2 = 5
These basic operations are the building blocks of more complex mathematical calculations.
Common Mathematical operations
Operations in mathematical numbers encompass a wide range of calculations and manipulations used in mathematics. In addition to the basic operations (addition, subtraction, multiplication, and division), here are some common mathematical operations:
- Exponentiation: Raising a number (the base) to a certain power (the exponent).
Example: 2^3 = 8 (2 raised to the power of 3 equals 8). - Square Root: Finding a number that, when multiplied by itself, equals the given number.
Example: √25 = 5 (the square root of 25 is 5). - Absolute Value: Finding the distance of a number from zero on the number line.
Example: | -7 | = 7 (the absolute value of -7 is 7). - Factorization: Breaking down a number into its prime factors.
Example: The prime factors of 12 are 2 and 3 (12 = 2 × 2 × 3). - Modulus (Remainder): Finding the remainder when one number is divided by another.
Example: 17 % 5 = 2 (the remainder when 17 is divided by 5 is 2). - Fractions: Operations involving numbers expressed as ratios of integers (e.g., addition, subtraction, multiplication, and division of fractions).
- Logarithm: Finding the exponent to which a given base must be raised to obtain a certain number.
Example: log₂8 = 3 (2 raised to the power of 3 equals 8). - Trigonometric Functions: Mathematical operations used in geometry and trigonometry, including sine, cosine, tangent, and their inverses.
These operations are essential in various mathematical disciplines and are used to solve a wide range of mathematical problems.