SGPGI Nursing Officer-2024
Non Nursing Subjects
Medium

Given 0.111 is approximately equal to 1/9, what is the approximate value of 0.777?

Appeared in: SGPGI Nursing Officer-2024

Explanation

  • The question establishes a direct relationship: 0.111 is approximately equal to 1/9.
  • The target decimal, 0.777, is a direct multiple of the given decimal: 0.777 = 7 × 0.111.
  • To find the corresponding fraction, the same multiplication is applied to the given fraction: 7 × (1/9) = 7/9.

Why Other Options Were Wrong

  • Option A: This fraction is the approximate value for 0.555 (5 × 0.111), not 0.777.
  • Option C: This fraction is the approximate value for 0.222 (2 × 0.111), not 0.777.
  • Option D: This is the given fractional value for 0.111, not the value for the multiple 0.777.

Related Visual

Visual explanation — Related Visual
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Approximation of repeating decimals to fractions as background academic context rather than a clinical decision trigger.
  • This question assesses fundamental numeracy skills, which are crucial for accurate medication dosage calculations, a core nursing responsibility.
  • Understanding fractions and decimals is essential for interpreting lab results, calculating IV drip rates, and ensuring patient safety in various clinical scenarios.
  • What if? If a medication order was for 0.5 mg and the available tablets were 0.25 mg, a nurse would need to calculate that two tablets are needed. This is a simple application of the same foundational math skills.
How to Approach the Question
  • Identify the relationship provided in the question: 0.111 ≈ 1/9.
  • Analyze the target number (0.777) and compare it to the given number (0.111).
  • Recognize that 0.777 is a multiple of 0.111. Specifically, 0.777 = 7 × 0.111.
  • Apply this same multiplication factor (7) to the fraction provided (1/9).
  • Calculate the result: 7 × (1/9) = 7/9.
  • Select the matching option.
Concept Tested & Keywords
  • Concept Tested: Approximation of repeating decimals to fractions
  • Stem keywords: 0.111, 1/9, approximate value, 0.777
  • Lead-in keywords: what is the approximate value

Question ID

QjmIZFWhbHs37MHe62pMFy

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