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Chapter 2: Problem 72
$$ 22 \div 1 $$
Short Answer
Expert verified
22
Step by step solution
01
- Understand Division
Division is one of the basic arithmetic operations. It involves finding how many times one number (the divisor) is contained within another number (the dividend). For this exercise, we are dividing 22 by 1.
02
- Identify the Dividend and Divisor
In the expression given, 22 is the dividend and 1 is the divisor. This can be written as: \( \frac{22}{1} \)
03
- Perform the Division
Dividing any number by 1 results in the number itself. Therefore, dividing 22 by 1 simply gives us 22.
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
headline of the respective core concept
Division is one of the basic arithmetic operations. When we divide, we are essentially splitting a larger number into equal parts. In this context, we use terms like 'dividend,' 'divisor,' and 'division result,' which we will explain further below.
To get started with any division problem, we need to understand the numbers we are working with and their roles.
headline of the respective core concept
The dividend is the number that we want to divide. In our example, we have the number 22, which we are dividing by another number. Think of the dividend as the starting number or the amount that you want to break into smaller parts.
If you have 22 apples and you want to distribute them evenly, the 22 apples represent our dividend. So, in mathematical terms, the dividend comes before the divisor in a division operation.
In mathematical notation, it is the top number of the fraction (numerator). For example: \(\frac{22}{1}\). Here, 22 is our dividend.
headline of the respective core concept
The divisor is the number by which we divide the dividend. It's the number that tells us the size of each part or how many parts we are creating. In our example, the number 1 is the divisor.
When you divide by 1, you are essentially asking how many times 1 fits into another number, which is always the number itself. Think of the divisor as the number of groups you want to create. In our example of 22 apples, if you use a divisor of 1, you want to see how many groups of 1 can be made from 22.
Mathematically, using our previous notation, in \(\frac{22}{1}\), 1 is the divisor.
headline of the respective core concept
The division result is what you get after performing the division. In the example given, the result of dividing 22 by 1 is 22. This makes sense because dividing any number by 1 leaves the number unchanged.
To put it simply: \(22 \div 1 = 22\)
Here, the division result tells us how many units of the divisor can be found in the dividend. In our case, 22 apples divided into groups of 1 apple means we have 22 individual apples.
Remember, the result of our division problem is the answer that we get after calculating the quotient of the dividend and divisor.
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