Final answer:
Comparing multiplying integers and decimals, we find that the size of the product depends on the specific numbers, not on whether they're integers or decimals. The sign of the product of integers depends on the signs of the numbers involved. All decimals can technically be expressed as fractions, but we usually express the product in decimal form.
Step-by-step explanation:
The question is comparing multiplying integers with multiplying decimals. Let's address each statement provided:
- A) Multiplying integers results in a larger product. This statement isn't always true. The product size depends on the numbers involved, not whether they are integers or decimals. For example, 2 x 3 = 6, and this product is larger than if we multiplied smaller integers together, like 1 x 2 = 2.
- B) Multiplying decimals results in a smaller product. This is also not universally true. The product of multiplying decimals can be smaller or larger depending on the numbers. For example, 0.5 x 0.5 = 0.25, which is smaller than 0.5, but if we multiply 10 x 0.5 = 5, which is larger than 0.5.
- C) Multiplying integers results in a positive or negative value. This is accurate. The sign of the product depends on the signs of the integers being multiplied. If both integers are positive or both are negative, the result is positive (e.g., 2 x 3 = 6 or (-2) x (-3) = 6). If one integer is positive and the other is negative, the result is negative (e.g., -2 x 3 = -6).
- D) Multiplying decimals always results in a fraction. Technically, all decimal numbers can be expressed as fractions, so this is somewhat true. However, when we multiply decimals, we do not always write the product as a fraction. For example, 0.5 x 0.2 = 0.10 and while 0.10 is also 1/10, we typically express it in decimal form.