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.
Four Operations Calculator
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
Addition Calculations :
| Number 1 | Number 2 | ANSWER: | HOW TO ? |
|---|---|---|---|
| 63 | 71 | 4473 | 63 plus 71 |
| 75 | 85 | 6375 | 75 plus 85 |
| 79 | 46 | 3634 | 79 plus 46 |
| 2.7 | 3.4 | 9.18 | 2.7 plus 3.4 |
| 5.6 | 4.5 | 25.2 | 5.6 plus 4.5 |
| 7.8 | 8.3 | 64.74 | 7.8 plus 8.3 |
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
Subtraction Calculations :
| Number 1 | Number 2 | ANSWER: | HOW TO ? |
|---|---|---|---|
| 31 | 3 | 28 | 31 minus 3 |
| 180 | 86 | 94 | 180 minus 86 |
| 11.3 | 3.3 | 8 | 11.3 minus 3.3 |
| 30.2 | 2.2 | 28 | 30.2 minus 2.2 |
| 68.5 | 5.5 | 63 | 68.5 minus 5.5 |
| 69.81 | 20.05 | 49.76 | 69.81 minus 20.05 |
| 78.93 | 3.53 | 75.4 | 78.93 minus 3.53 |
| 85.63 | 31.47 | 54.16 | 85.63 minus 31.47 |
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 ? |
|---|---|---|---|
| 12 | 12 | 144 | 12 times 12 |
| 93 | 12 | 1116 | 93 times 12 |
| 20 | 87 | 1740 | 20 times 87 |
| 8 | 9 | 72 | 8 times 9 |
| 5.7 | 3.5 | 19.95 | 5.7 times 3.5 |
| 3.3 | 1.1 | 3.63 | 3.3 times 1.1 |
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 : |
|---|---|---|---|---|
| 177 | 61 | 2.9016393442623 | 55 | 177 divided by 61 |
| 183 | 86 | 2.1279069767442 | 11 | 183 divided by 86 |
| 205 | 73 | 2.8082191780822 | 59 | 205 divided by 73 |
| 55.2 | 7.6 | 7.2631578947368 | 0 | 55.2 divided by 7.6 |
| 63.6 | 6.3 | 10.095238095238 | 0 | 63.6 divided by 6.3 |
| 85.2 | 3.6 | 23.666666666667 | 0 | 85.2 divided by 3.6 |
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? |
|---|---|---|---|
| 7/15 | 93 | 43.4 | 7/15 of 93 |
| 6/7 | 84 | 72 | 6/7 of 84 |
| 3/10 | 59 | 17.7 | 3/10 of 59 |
| 7/15 | 474 | 221.2 | 7/15 of 474 |
| 5/13 | 692 | 266.15384615385 | 5/13 of 692 |