IB Maths AI SL 1.1 Scientific Notation Questions

Practise writing and converting normalized scientific notation, using powers of ten in contextual calculations and retaining correct units and scale.

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 or computer-style outputs
use scientific notation in contextual calculations and retain correct units and scale in the final answer

[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 SL 1.1 Scientific Notation Questions question 1