Decimal Calculator
Perform basic arithmetic operations (addition, subtraction, multiplication, division) with decimal numbers.
Decimal Operations
Understanding Decimal Operations
Decimal numbers are a fundamental part of mathematics, extending the concept of whole numbers to include fractional parts using a decimal point.
Basic Operations:
- Addition & Subtraction: Align decimal points and add/subtract as with whole numbers.
- Multiplication: Multiply numbers ignoring decimal points, then place the decimal point in the product by counting total decimal places in the original numbers.
- Division: Convert the divisor to a whole number by moving the decimal point, then move the decimal point in the dividend the same number of places. Perform division as with whole numbers.
Decimal Operation Examples
| Operation | Example | Result |
|---|---|---|
| Addition | 1.25 + 3.5 | 4.75 |
| Subtraction | 5.7 - 2.35 | 3.35 |
| Multiplication | 2.5 × 1.5 | 3.75 |
| Division | 10.8 ÷ 2.4 | 4.5 |
Frequently Asked Questions
What is a decimal number?
A decimal number is a number that contains a decimal point, separating the whole number part from the fractional part. It is based on the base-10 number system.
How do you add/subtract decimals?
To add or subtract decimals, align the decimal points vertically and then perform the operation as you would with whole numbers. Add zeros as placeholders if necessary.
How do you multiply decimals?
To multiply decimals, multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in the numbers being multiplied and place the decimal point in the product that many places from the right.
How do you divide decimals?
To divide decimals, move the decimal point in the divisor (the number you are dividing by) to the right until it is a whole number. Move the decimal point in the dividend (the number being divided) the same number of places to the right. Then, perform long division as usual.