Which number produces a rational number when multiplied by 0.25?

Question

Group of answer choices

0.45

pi (dont have the symbol)

-/`````15 (dont have the symbol either but the 15 is supposed to be underneath the lines)

0.54713218…

Answer 1

To determine which number produces a rational number when multiplied by $0.25$, we should first know that a rational number is any number that can be expressed as the quotient of two integers (i.e., a fraction $\frac{a}{b}$ where both $a$ and $b$ are integers and $b\ne 0$).

Now, let's evaluate each option:

1. 0.45: This is a terminating decimal, which is a rational number. Thus, multiplying it by $0.25$ will result in a rational number.

2. $\pi$: This is an irrational number. Multiplying it by $0.25$ will still yield an irrational number.

3. -$\frac{15}{1}$: This is a rational number. Thus, multiplying it by $0.25$ will produce a rational number.

4. 0.54713218...: This is a non-terminating decimal. Since it does not repeat, it is also irrational. Multiplying it by $0.25$ will still produce an irrational number.

Based on this analysis, the choices that would produce a rational number when multiplied by $0.25$ are:

• 0.45 (choice 1)
• -$\frac{15}{1}$ (choice 3)

However, if you are limited to a single answer and given the usual context of these types of questions, then 0.45 is often the most straightforward answer (as it is given in decimal form).

Answer 2

which one is correct thats all im asking of you

Answer 3

The correct answer is 0.45.

Answer 4

also do u know what symbol that is for the third option? do u know what i meant when i was trying to make the symbol or whatever

Answer 5

Based on your description, it sounds like you were trying to represent a fraction with the number $15$ underneath a line, which typically represents division. The symbol you were aiming for is likely the fraction bar, representing the rational number -$\frac{15}{1}$.

If that’s the case, it means that option also represents a rational number. Therefore, both 0.45 and -$\frac{15}{1}$ would produce rational numbers when multiplied by $0.25$.

If you have specific formatting in mind or meant a different symbol, please let me know!