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In mathematics, a division expression is a way of representing the process of dividing one number by another. It consists of a numerator (the number to be divided) and a denominator (the number by which the numerator is divided), separated by a division sign, often represented by the symbol \( \, \div \, \). For example, in the exercise, the division expression is written as 722 ÷ 53.

When writing out these expressions, it's important to clearly label the numerator and the denominator. This makes it easier to perform and understand the operation.

Commonly, we might see other notations like a fraction: \( \frac{722}{53} \). This represents the exact same operation but in a different format. Using either notation is correct.

Simplifying division involves performing the process of division to find the quotient. In the given exercise, we perform this calculation by dividing 722 by 53.

The result of this division is approximately 13.622641509. It's helpful to use a calculator for complex division like this to ensure accuracy.

Here’s a simple way to remember the terms involved in division: the number you’re dividing is called the dividend (722 in this case), and the number you’re dividing by is called the divisor (53 in this case). The result you get is the quotient. To summarize:

• Dividend: 722
• Divisor: 53
• Quotient: Approx. 13.622641509

Performing division is simply a matter of determining how many times the divisor can be subtracted from the dividend.

Rounding numbers is an important skill, especially when dealing with long decimal results. In our exercise, after performing the division 722 ÷ 53, we got a quotient of approximately 13.622641509.

Rounding is the process of reducing the number of digits right of the decimal point to make the number easier to work with or read. We often round to a certain number of decimal places depending on the problem's requirement.

To round 13.622641509 to 2 decimal places, you look at the third decimal place (2 in this case). If it is 5 or greater, increase the second decimal place by 1. If it is less than 5, keep the second decimal place the same:

• The third decimal place is 2, which is less than 5
• So, keep the second decimal place the same: 13.62

The rounded result is 13.62. Knowing how to round correctly helps in making results more practical and easier to communicate.