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Which of the following numbers are greater than -(185)/(100) ? Choose all answers that apply: A -1.08 B (190)/(100) C -(35)/(20)

Which of the following numbers are greater than −185100 -\frac{185}{100} ?\newlineChoose all answers that apply:\newline(A) −1-1.0808\newline(B) 190100 \frac{190}{100} \newline(C) −3520 -\frac{35}{20}

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Full solution

Q. Which of the following numbers are greater than −185100 -\frac{185}{100} ?\newlineChoose all answers that apply:\newline(A) −1-1.0808\newline(B) 190100 \frac{190}{100} \newline(C) −3520 -\frac{35}{20}
  1. Convert to decimal: First, let's convert the fraction −185100-\frac{185}{100} to a decimal to make it easier to compare with the other numbers.\newline−185100=−1.85-\frac{185}{100} = -1.85
  2. Compare with −1.85-1.85: Now let's compare each option with −1.85-1.85 to determine if it is greater.\newlineA: −1.08-1.08 is greater than −1.85-1.85 because a less negative number is greater on the number line.
  3. Option A comparison: B: (190)/(100)(190)/(100) is equal to 1.901.90, which is greater than −1.85-1.85 because any positive number is greater than any negative number.
  4. Option B comparison: C: −(35)/(20)-(35)/(20) needs to be simplified to compare. Let's simplify it:\newline−(35)/(20)=−1.75-(35)/(20) = -1.75\newline−1.75-1.75 is greater than −1.85-1.85 because, again, a less negative number is greater on the number line.

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