Decide whether the following proportion is true or false. \[ \frac{2.6}{10}=\frac{26}{100} \] Since the cross products

To determine if the proportion \(\frac{2.6}{10}=\frac{26}{100}\) is true, we can use cross multiplication. If the cross products are equal, then the proportion is true. Calculating the cross products, we have: - \(2.6 \times 100 = 260\) - \(26 \times 10 = 260\) Since both cross products equal 260, the proportion is true! Now, let's dive into a bit more knowledge regarding proportions and their applications in everyday life. Proportions are the backbone of many real-world situations, like adjusting recipes or calculating discounts. For instance, if you're baking and you want to halve a recipe, understanding and using proportions can help you get the right amount of each ingredient without any trial and error. When dealing with proportions, a common mistake is to forget to simplify fractions before cross multiplying. Always simplify fractions when possible to avoid errors and make calculations easier. Additionally, make sure that the fractions you’re working with are in the correct format to ensure accurate results, as a small misalignment can lead to different interpretations!