Four Operations in Math

The four basic operations in math are addition, subtraction, multiplication, and division. These operations form the foundation of arithmetic and are essential for performing calculations and solving problems in various fields. In this article, we'll explore the principles, properties, and applications of each operation.

Addition

Addition is the process of combining two or more numbers to find their total, called the sum. This operation is represented by the plus symbol (+). For example:

5 + 3 = 8

Addition has the following properties:

• Commutative: a + b = b + a
• Associative: (a + b) + c = a + (b + c)
• Identity: a + 0 = a

Subtraction

Subtraction is the process of finding the difference between two numbers. This operation is represented by the minus symbol (-). For example:

9 - 4 = 5

Subtraction has the following properties:

• Non-commutative: a - b ≠ b - a (in general)
• Non-associative: (a - b) - c ≠ a - (b - c) (in general)
• Identity: a - 0 = a

Multiplication

Multiplication is the process of finding the product of two numbers. This operation is represented by the multiplication symbol (×) or an asterisk (*). For example:

6 * 4 = 24

Multiplication has the following properties:

• Commutative: a * b = b * a
• Associative: (a * b) * c = a * (b * c)
• Identity: a * 1 = a
• Distributive: a * (b + c) = a * b + a * c

Multiplication Calculations :

Multiplicand	Multiplier	ANSWER:	HOW TO ?
31	11	341	31 times 11
97	34	3298	97 times 34
62	48	2976	62 times 48
7.5	4	30	7.5 times 4
2.4	5.5	13.2	2.4 times 5.5
7	2.4	16.8	7 times 2.4

Division

Division is the process of finding the quotient of two numbers, dividing one number by another. This operation is represented by the division symbol (÷) or a forward slash (/). For example:

20 / 4 = 5

Division has the following properties:

• Non-commutative: a / b ≠ b / a (in general)
• Non-associative: (a / b) / c ≠ a / (b / c) (in general)
• Identity: a / 1 = a
• Undefined for division by zero: a / 0 is undefined

Division Calculations :

Dividend	Divisor	Quotient	Reminder	Answer :
219	73	3	0	219 divided by 73
111	53	2.0943396226415	5	111 divided by 53
88	29	3.0344827586207	1	88 divided by 29
106.4	6.2	17.161290322581	0	106.4 divided by 6.2
11.6	2.8	4.1428571428571	0	11.6 divided by 2.8
62	6.5	9.5384615384615	0	62 divided by 6.5

Applications of the Four Operations

The four basic operations are used in a wide range of mathematical and real-world applications, including:

• Calculating totals, change, and discounts in finance
• Measuring distances, areas, and volumes in geometry
• Deriving equations and solving problems in algebra
• Analyzing data and calculating probabilities in statistics
• Modeling scenarios and making predictions in various fields

The four basic operations in math - addition, subtraction, multiplication, and division - are fundamental to arithmetic and problem-solving. Understanding their principles, properties, and applications is essential for success in mathematics and various real-world contexts.

How To Use Fractions In 4-Operations

Addition:

To add fractions, make sure the denominators are the same. Add the numerators together and keep the denominator the same. Simplify the result if needed.

Subtraction:

Similar to addition, ensure the denominators are identical. Subtract the numerators while keeping the denominator constant. Simplify the result if necessary.

Multiplication:

Multiply the numerators together to get the new numerator. Multiply the denominators together to get the new denominator. Simplify the resulting fraction if possible.

Division:

To divide fractions, multiply by the reciprocal of the second fraction. Invert the second fraction (swap the numerator and denominator). Then, follow the steps for multiplication.

Fractions Operations :

Fraction	Number	Answer	How To Calculate?
9/18	27	13.5	9/18 of 27
7/14	63	31.5	7/14 of 63
9/16	67	37.6875	9/16 of 67
3/4	166	124.5	3/4 of 166
1/9	765	85	1/9 of 765