Write a numerical expression to model the words: Divide 60 by 5.
The Correct Answer and Explanation is:
To model the phrase “Divide 60 by 5” using a numerical expression, we can represent it mathematically as:
[
\frac{60}{5}
]
Solution:
To compute the expression ( \frac{60}{5} ):
- Perform the Division:
- You take the number 60 and divide it by 5.
- This means asking how many times 5 fits into 60.
- Calculation:
- Since 5 times 12 equals 60 (5 × 12 = 60), we find that:
[
\frac{60}{5} = 12
]
Explanation:
In this expression, the number 60 is the dividend, which is the number you want to divide. The number 5 is the divisor, which is the number you are dividing by. Division is one of the four basic arithmetic operations, and it essentially asks how many groups of the divisor can be formed from the dividend.
When dividing, it is often helpful to think of it in terms of equal groups. Here, we are trying to determine how many equal groups of 5 can be created from 60. This can be visualized as having 60 items (like apples), and you want to place them into groups that each contain 5 items.
If you were to count how many groups of 5 can be made, you would find that there are 12 groups. This means that if you divide 60 into groups of 5, you would end up with 12 groups. Thus, the answer to the expression ( \frac{60}{5} ) is 12.
In practical applications, division is used in various real-life scenarios, such as sharing resources, distributing tasks, or calculating rates. Understanding how to model and solve division expressions is essential for daily problem-solving and for more complex mathematical concepts.