0 is 350% of what number? Choose the correct solution.

StartFraction part Over whole EndFraction = StartFraction 350 times 1 Over 100 times 1 EndFraction = StartFraction 350 Over 100 EndFraction
StartFraction part Over whole EndFraction = StartFraction 70 divided by 70 Over 350 divided by 70 EndFraction = one-fifth
StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction
StartFraction part Over whole EndFraction = StartFraction 100 times 0.7 Over 350 times 0.7 EndFraction = StartFraction 70 Over 245 EndFraction

1 answer

To find out what number 0 is 350% of, we can set up the equation based on the definition of percentage.

Let \( x \) be the number we are looking for. We know that:

\[ 0 = 350% \times x \]

We convert 350% into a decimal:

\[ 350% = \frac{350}{100} = 3.5 \]

Now we can rewrite our equation:

\[ 0 = 3.5 \times x \]

To solve for \( x \), we can divide both sides by 3.5:

\[ x = \frac{0}{3.5} = 0 \]

Thus, 0 is 350% of 0.

Now, let's evaluate the solutions presented:

  1. StartFraction part Over whole EndFraction = StartFraction 350 times 1 Over 100 times 1 EndFraction = StartFraction 350 Over 100 EndFraction

    • This mathematically simplifies to 3.5 (which is correct in isolation but doesn't address the question correctly).
  2. StartFraction part Over whole EndFraction = StartFraction 70 divided by 70 Over 350 divided by 70 EndFraction = one-fifth

    • This statement is misleading and incorrect relative to the original question regarding the percentage.
  3. StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction

    • This simply reduces 350% to 70%. It is irrelevant to the main problem.
  4. StartFraction part Over whole EndFraction = StartFraction 100 times 0.7 Over 350 times 0.7 EndFraction = StartFraction 70 Over 245 EndFraction

    • This is also not relevant to the question.

None of the provided solutions correctly answer the question "0 is 350% of what number?" The answer is \( 0 \).