SCIENTIFIC NOTATION
This question bank contains 5 questions covering Scientific Notation, distributed across different paper types according to IB AAHL curriculum standards.
📌 Multiple Choice Questions (3 Questions)
MCQ 1. Write \(340{,}000\) in standard form.
A) \(3.4 \times 10^2\) B) \(3.4 \times 10^3\) C) \(3.4 \times 10^4\) D) \(3.4 \times 10^5\)
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Standard form: move decimal to make a number between 1 and 10, count places.
\(340{,}000 = 3.4 \times 10^5\)
✅ Answer: D) \(3.4 \times 10^5\)
MCQ 2. Which number is correctly written in standard form?
A) \(0.62 \times 10^5\) B) \(6.2 \times 10^5\) C) \(62 \times 10^5\) D) \(620 \times 10^3\)
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Standard form must be a number between 1 and 10 multiplied by a power of 10.
Only \(6.2 \times 10^5\) is valid.
✅ Answer: B) \(6.2 \times 10^5\)
MCQ 3. Express \(0.0078\) in the form \(a \times 10^k\) where \(1 \leq a < 10\).
A) \(7.8 \times 10^2\) B) \(7.8 \times 10^{-2}\) C) \(7.8 \times 10^{-3}\) D) \(7.8 \times 10^{-4}\)
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Move decimal 3 places to right: \(0.0078 = 7.8 \times 10^{-3}\)
✅ Answer: C) \(7.8 \times 10^{-3}\)
📌 Paper 1 Questions (No Calculator) – 2 Questions
Short Q1. Write \(0.00056\) in standard form.
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Decimal moved 4 places right: \(5.6 \times 10^{-4}\)
✅ Answer: \(5.6 \times 10^{-4}\)
Short Q2. The Avogadro constant (number of particles in a mole) is \(602{,}214{,}076{,}000{,}000{,}000{,}000{,}000\). Write it in standard form.
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Count the decimal places (23): \(6.022 \times 10^{23}\)
✅ Answer: \(6.022 \times 10^{23}\)