NK3 - Standard Form (Calculations) - Numbas at mathcentre.ac.uk

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From users who are members of Skills Audits for Maths and Stats :

Will Morgan	said	Ready to use	1 year, 1 month ago
Andrew Neate	said	Needs to be tested	1 year, 1 month ago

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Will Morgan 1 year ago

Published this.

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Will Morgan 1 year, 1 month ago

Gave some feedback: Ready to use

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Andrew Neate 1 year, 1 month ago

Gave some feedback: Needs to be tested

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Andrew Neate 1 year, 1 month ago

Created this.

There is only one version of this question that you have access to.

Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	number	9.5
b	number	8
n	integer	5
m	integer	-6
IsADivBLessOne	boolean	false
ExponentAns	integer	11
MantAns	number	1.1875
aDivBRound	number	1.19
MantAnsRound	number	1.19

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..9.9 # 0.1)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `number`

9.5

→ Used by:

IsADivBLessOne
MantAns
aDivBRound

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

For the equation

$\frac{\var{a}\times10^{\var{n}}}{\var{b}\times10^{\var{m}}}=a\times10^n$

find the values of $a$ and $n$ which keep the answer in standard form.

Give $a$ to two decimal places.

$a=$ Gap 0.

$n=$ Gap 1.

Advice

To divide two numbers in standard form we can calculate the division of each part of the standard form number separately. In general we have,

$\frac{x\times10^j}{y\times10^k}=\frac xy\times\frac{10^j}{10^k}=\frac xy\times 10^{j-k}$

In this question we therefore have,

$\frac{\var{a}\times10^{\var{n}}}{\var{b}\times10^{\var{m}}}=\frac{\var{a}}{\var{b}}\times\frac{10^{\var{n}}}{10^{\var{m}}}=\var{aDivBRound}\times10^\var{n-m}.$

Since {aDivBRound} is less than 1 then our answer isn't in standard form. In this case we need to reduce the exponent by 1 so the final answer is

$\var{MantAnsRound}\times10^{\var{ExponentAns}}.$

Use this link to find some resources which will help you revise this topic.

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

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NK3 - Standard Form (Calculations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

Loading...

Error

NK3 - Standard Form (Calculations)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Andrew Neate 1 year, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`