Dividing by 1 is one of the simplest operations in mathematics. When you divide any number by 1, the answer is always the original number. This is because you're essentially asking, "How many groups of 1 are there in this number?" The answer is always the number itself. Understanding this concept makes many other division problems easier! Think of it like this: if you have 5 cookies and want to divide them into groups of 1, you'll have 5 groups.
Let's try another way to think about it. Imagine you have a pile of toys. If you split that pile into groups of one, how many groups will you have? You'll have the same number of groups as the number of toys you started with! This simple rule is key to understanding division by one.
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Dividend | A. The number that divides the dividend |
| 2. Divisor | B. The result of the division |
| 3. Quotient | C. The number being divided |
| 4. Division | D. Splitting into equal parts or groups |
| 5. Identity Property | E. Any number divided by one equals itself |
Match the numbers to the correct letters!
Complete the following sentences:
When you ______ a number by 1, the answer is always the ______ number. This is because any number can be divided into groups of ______ with none leftover. For example, if we _______ 7 by 1, the quotient is ______. This rule is called the _______ property of division.
Explain in your own words why any number divided by 1 equals itself. Use an example to illustrate your explanation.
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