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When we talk about converting dollars to cents, we need to know the right conversion factor. The conversion factor is a number we use to change one set of units into another. For dollars to cents, the conversion factor is 100.

Why 100? Because there are 100 cents in every dollar. This relationship makes it simple to perform our conversion. Every single dollar you have can be broken down into 100 smaller units called cents.

A quick example: If you have 1 dollar, multiplying it by 100 will give you 100 cents. This conversion factor (100) is key to solving these types of currency conversion problems. When you understand this, converting any amount from dollars to cents becomes straightforward!

Once we understand the conversion factor, the next step is multiplication. In the context of currency conversion, multiplication lets us scale up the dollars to the right number of cents.

Steps for multiplication:

• Take the amount in dollars. In our exercise, it’s 28.88 dollars.
• Multiply this amount by our conversion factor (100).
• The result: 28.88 dollars multiplied by 100 equals 2888 cents.

The equation looks like this: \( 28.88 \times 100 = 2888 \).

Multiplying by 100 is like moving the decimal point two places to the right. So, 28.88 becomes 2888. This simple step ensures that we correctly convert the larger unit (dollars) into the smaller unit (cents) without any errors.

Currency conversion means changing money from one unit to another - in our case, dollars to cents. Why would we do this? Sometimes, prices or amounts need to be in a smaller unit for better precision or clarity. For dollars and cents, converting helps us understand small values easily.

Key points to remember:

• There are 100 cents in a dollar. This is the conversion factor we use.
• We use multiplication to perform the conversion.
• Practicing conversions can help you become quicker and more accurate.

By following these steps, you can convert any dollar amount to cents efficiently. As shown in the exercise, converting 28.88 dollars involves multiplying by 100 to get 2888 cents. Understanding the core principles of conversion factor, multiplication, and currency conversion will make these tasks much simpler!