IB Maths AA SL 1.1 Scientific notation

IB Mathematics: analysis and approaches guide, first assessment 2021

Practise converting large measurements into scientific notation and matching values to a x 10^k forms with correct integer powers.

How this is tested

express a physical quantity such as planetary radius or volume in a x 10^k form and identify a and k

[Maximum number: 4]

The diameter of a spherical planet is $6 \times 10^{4} \mathrm{~km}$ .

(a)

Write down the radius of the planet.

The volume of the planet can be expressed in the form $\pi\left(a \times 10^{k}\right) \mathrm{km}^{3}$ where $1 \leq a<10$ and $k \in \mathbb{Z}$ .

[ 1 ]

(b)

Find the value of a and the value of k.

[ 3 ]

How this is tested

Question 2

Question 2(a)

Question 2(b)