IB Maths AI HL Sl 1 1 Scientific Notation Questions

Practise IB Maths AI HL 1.1 by converting contextual calculations into scientific notation with a normalised mantissa, integer exponent, and correct units.

Exam points

Write a computed or converted quantity in normalized scientific notation a × 10^k, with 1 ≤ a < 10 and integer k.
Convert between ordinary numbers and scientific notation accurately, including powers of ten and calculator/computer-style outputs.
Use scientific notation in a contextual calculation and retain the correct units and scale in the final answer.

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Study SL 1.1—Scientific notation conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 3]

Zaha is designing a bridge to cross a river. She believes that the weight of the steel needed for this bridge is approximately 53632000 kg .
The exact weight of the steel needed for the bridge is 55625000 kg .

Write down your answer to part (b)(i) in the form $a \times 10^{k}$ , where $1 \leq a<10$ , $k \in \mathbb{Z}$ .

$2.78 \times 10^{8}$

Note: Award A1 for correct mantissa, consistent with their answer in part (b)(i).

Marking guidance:

Award A1 for a correct exponent, consistent with their answer in part (b)(i).
Award AOAO for answers such as $27.8 \times 10^{7}$ .

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IB Maths AI HL Sl 1 1 Scientific Notation Questions question 1