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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 0-0.3333 ?\newlineChoose all answers that apply:\newline(A) 0-0.33\newline(B) 39 -\frac{3}{9} \newline(C) 16 \frac{1}{6}

Full solution

Q. Which of the following numbers are greater than 0-0.3333 ?\newlineChoose all answers that apply:\newline(A) 0-0.33\newline(B) 39 -\frac{3}{9} \newline(C) 16 \frac{1}{6}
  1. Compare with option A: Compare the given number 0.33-0.33 with option A 0.3-0.3.\newline0.3-0.3 is greater than 0.33-0.33 because when comparing negative decimals, the number with the smaller absolute value is greater.\newlineCalculation: -0.3 > -0.33
  2. Compare with option B: Compare the given number 0.33-0.33 with option B ((3/9))\left(-(3/9)\right). First, simplify ((3/9))\left(-(3/9)\right) to its simplest form. ((3/9))\left(-(3/9)\right) simplifies to 1/3-1/3, which is equal to approximately 0.333-0.333. 0.333-0.333 is not greater than 0.33-0.33. Calculation: \left(-(3/9)\right) = -1/3 \approx -0.333 < -0.33
  3. Compare with option C: Compare the given number 0.33-0.33 with option C 16\frac{1}{6}.\newline16\frac{1}{6} is a positive number, and any positive number is greater than any negative number.\newlineCalculation: \frac{1}{6} > 0 > -0.33

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