Understanding Division: 45 Divided by 2
Division is a fundamental mathematical operation that involves splitting a whole into equal parts. It's represented by the symbol "÷" or a forward slash "/". In the case of "45 divided by 2," we are asking how many times 2 goes into 45.
How to Calculate 45 Divided by 2
There are a couple of ways to calculate 45 divided by 2:
1. Long Division:
This method involves a step-by-step process:
- Set up: Write 45 as the dividend and 2 as the divisor.
- Divide: How many times does 2 go into 4? It goes in twice (2 x 2 = 4). Write "2" above the 4 in the quotient.
- Subtract: Subtract 4 from 4, leaving 0.
- Bring down: Bring down the 5 next to the 0.
- Divide: How many times does 2 go into 5? It goes in twice (2 x 2 = 4). Write "2" next to the 2 in the quotient.
- Subtract: Subtract 4 from 5, leaving 1.
- Remainder: You have a remainder of 1.
Therefore, 45 divided by 2 is 22 with a remainder of 1.
2. Calculator:
The simplest way is to use a calculator. Simply input "45 ÷ 2" and press the equals button. The calculator will display the result, which is 22.5.
Understanding the Result
The result of 45 divided by 2 can be expressed in two ways:
- As a decimal: 22.5
- As a mixed number: 22 1/2
Decimal representation: 22.5 means that 2 fits into 45 a total of 22 and a half times.
Mixed number representation: 22 1/2 signifies the same thing, with 22 representing the whole number of times 2 goes into 45, and the fraction 1/2 indicating the remaining part that's less than a full 2.
Conclusion
"45 divided by 2" is a basic division problem that can be solved using long division or a calculator. The result can be represented as a decimal (22.5) or a mixed number (22 1/2), both of which convey the same meaning: 2 goes into 45 twenty-two and a half times. Understanding division is essential for various mathematical operations and practical applications in everyday life.