Question 12 of 28intermediate🔧 ApplyNumerical3 marks

What was the date 1 arab/1 billion seconds ago?

Correct Answer

Given: 1 billion seconds = 10910^9 seconds

Formula: Years = seconds ÷ 60 ÷ 60 ÷ 24 ÷ 365

Calculation: Step 1: 1 billion = 10910^9 seconds Step 2: Convert to minutes: 109÷60=16,666,66710^9 \div 60 = 16,666,667 minutes Step 3: Convert to hours: 16,666,667÷60=277,77816,666,667 \div 60 = 277,778 hours Step 4: Convert to days: 277,778÷24=11,574277,778 \div 24 = 11,574 days Step 5: Convert to years: 11,574÷365≈31.711,574 \div 365 \approx 31.7 years Step 6: If current year is 2025, then 31.7 years ago ≈\approx 1993

Answer: 1 billion seconds ago was approximately 31.7 years in the past, or around 1993 (if today is 2025).

Exercise: Figure it Out (Section 2) | Q: 14 | (Page Page 28)
For More Understanding

Explanation

1 billion seconds = 10910^9 seconds. To convert to years: 10910^9 seconds ÷ 60 (seconds per minute) ÷ 60 (minutes per hour) ÷ 24 (hours per day) ÷ 365 (days per year) ≈\approx 31.7 years. So 1 billion seconds ago was approximately 31.7 years in the past.

Solution Steps

  1. Step 1: 1 billion = 10910^9 seconds

  2. Step 2: Convert to minutes: 109÷60=16,666,66710^9 \div 60 = 16,666,667 minutes

  3. Step 3: Convert to hours: 16,666,667÷60=277,77816,666,667 \div 60 = 277,778 hours

  4. Step 4: Convert to days: 277,778÷24=11,574277,778 \div 24 = 11,574 days

  5. Step 5: Convert to years: 11,574÷365≈31.711,574 \div 365 ≈ 31.7 years

  6. Step 6: If current year is 2025, then 31.7 years ago would be approximately 1993

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