VC2M10M02 Official strand: Measurement

Read logarithmic scales

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Interpret powers and multiplicative changes on logarithmic axes and defined indices.

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A base-10 logarithmic axis marks 10^-4 and 10^-3. By what factor is the second positive value larger?

A20 B10 C1 D13

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Answer: 10

Compare values by division: 10^-3/10^-4.
Subtract exponents: 10^1.
The factor is 10.
(10)^(-3) = 1/1000.
(10)^(-4) = 1/10000.
1/1000 ÷ 1/10000 = 10.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Interpret powers and multiplicative changes on logarithmic axes and defined indices.

Read the official VCAA curriculum description (VC2M10M02)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

VC2M10M02-C01Read multiplicative change on a base-10 logarithmic axis.
VC2M10M02-C02Interpret a defined index by converting between a power and its exponent.
VC2M10M02-C03Apply and explain read logarithmic scales using read and connect representations.
VC2M10M02-C04Apply and explain read logarithmic scales using calculate and explain each step.
VC2M10M02-C05Apply and explain read logarithmic scales using build and check a model.
VC2M10M02-C06Apply and explain read logarithmic scales using work backwards from what is known.

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Subskills

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Descriptor-derived subskills

D01
Equal steps, equal ratiosRead multiplicative change on a base-10 logarithmic axis.
D02
Use the stated logarithmic ruleInterpret a defined index by converting between a power and its exponent.
D03
Read and connect representationsApply and explain read logarithmic scales using read and connect representations.
D04
Calculate and explain each stepApply and explain read logarithmic scales using calculate and explain each step.
D05
Build and check a modelApply and explain read logarithmic scales using build and check a model.
D06
Work backwards from what is knownApply and explain read logarithmic scales using work backwards from what is known.