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Which of the following numbers are greater than -0.33 ?
Choose all answers that apply:
(A) -0.3
(B) -(3)/(9)
(C)(1)/(6)

Which of the following numbers are greater than 0.33-0.33 ?\newlineChoose all answers that apply:\newline(A)(A) 0.3-0.3\newline(B)(B) 39-\frac{3}{9}\newline(C)(C) 16\frac{1}{6}

Full solution

Q. Which of the following numbers are greater than 0.33-0.33 ?\newlineChoose all answers that apply:\newline(A)(A) 0.3-0.3\newline(B)(B) 39-\frac{3}{9}\newline(C)(C) 16\frac{1}{6}
  1. Compare with option A: Compare 0.33-0.33 with option A 0.3-0.3.\newlineSince 0.3-0.3 is closer to zero than 0.33-0.33, 0.3-0.3 is greater than 0.33-0.33.
  2. Compare with option B: Compare 0.33-0.33 with option B (39)-\left(\frac{3}{9}\right). First, simplify (39)-\left(\frac{3}{9}\right) to its simplest form. (39)-\left(\frac{3}{9}\right) simplifies to 13-\frac{1}{3}, which is equal to 0.333-0.333\ldots (repeating). Since 0.333-0.333\ldots is equal to 13-\frac{1}{3}, it is not greater than 0.33-0.33.
  3. Compare with option C: Compare 0.33-0.33 with option C 16\frac{1}{6}.\newline16\frac{1}{6} is a positive number, and since 0.33-0.33 is negative, any positive number is greater than any negative number.\newlineTherefore, 16\frac{1}{6} is greater than 0.33-0.33.

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