Calculate powers of ten

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From users who are members of Transition to university :

Christian Lawson-Perfect	said	Ready to use	7 years, 9 months ago
Stanislav Duris	said	Needs to be tested	7 years, 9 months ago

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Stanislav Duris 7 years, 9 months ago

Published this.

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Christian Lawson-Perfect 7 years, 9 months ago

Gave some feedback: Ready to use

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Christian Lawson-Perfect 7 years, 9 months ago

Saved a checkpoint:

Nice simple question!

Restore this checkpoint

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Stanislav Duris 7 years, 9 months ago

Gave some feedback: Needs to be tested

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Stanislav Duris 7 years, 9 months ago

Created this as a copy of Square and cube numbers.

Name	Status	Author	Last Modified
Square and cube numbers	Ready to use	Stanislav Duris	20/11/2019 14:43
Calculate powers of ten	Ready to use	Stanislav Duris	20/11/2019 14:34
Always, sometimes or never: square and cube numbers	Ready to use	Stanislav Duris	20/11/2019 14:32
Positieve en negatieve machten van 10	draft	Johan Maertens	30/12/2022 10:15
Q3.Homework7	draft	Patrick Joyce	07/08/2017 16:32
Q17.(new)	draft	Patrick Joyce	10/08/2017 15:53
Q18.(new)	draft	Patrick Joyce	10/08/2017 15:56
Q17.(new)	Ready to use	Patrick Joyce	05/12/2017 12:47
Q18.(new)	Ready to use	Patrick Joyce	05/12/2017 12:48
Q19.(new)	Ready to use	Patrick Joyce	05/12/2017 12:50
Q20.(new)	Ready to use	Patrick Joyce	30/11/2017 17:16
Grainne's copy of Q19.(new)	draft	Grainne Scanlon	16/01/2018 13:45
Louise's copy of Calculate powers of ten	draft	Louise Lynch	26/01/2022 19:48
Always, sometimes or never: square and cube numbers	draft	Xiaodan Leng	11/07/2019 01:45
Square and cube numbers 1	draft	Leonardo Juliano	19/09/2019 16:05
Immer, manchmal oder nie? (Quadratzahlen und dritte Potenzen)	Ready to use	Ulrich Görtz	30/09/2024 20:07

There are 10 other versions that do you not have access to.

Question statement

Powers of ten can be useful while working with standard index numbers. Fill in the following table of powers of ten:

Give any introductory information the student needs.

			Name	Type	Generated Value

integer

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..5)

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: `integer`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add

Gap-fill

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

$n$	$10^n$
Gap 0.	$\var{10^(-n-1)}$
$\var{-n+1}$	Gap 1.
$0$	$1$
$1$	$10$
$\var{n}$	Gap 2.
Gap 3.	$\var{10^(n+2)}$

Advice

When $n$ is positive, we multiply $10$ by itself $n$ times,

$\text{e.g. } 10^3 = 10 \times 10 \times 10 = 1000 \text{ .}$

When $n$ is negative, we can think of $10^{-n}$ as $\frac{1}{10^{n}}$ ,

$\text{e.g. } 10^{-3} = \frac{1}{10^3} = \frac{1}{1000} = 0.001\text{ .}$

When $n = 0$ :

$10^{0} = 1 \text{ .}$

Generally, we can think of $10^n$ as a number in standard form $1 \times 10^n$ . Then $n$ always tells us the number of decimal places to move the decimal point in $1.0$ , for example

$10^{-3} = 1.0 \times 10^{-3} \text{ and since } n = - 3 \text{, we go } 3 \text{ places back as follows: } 1.0 ⇒ 0.1 ⇒ 0.01 ⇒ 0.001 \text{ .}$

A complete table of powers of ten for $n$ from $-6$ to $6$ is:

$n$	$10^n$
$-6$	$0.000001$
$-5$	$0.00001$
$-4$	$0.0001$
$-3$	$0.001$
$-2$	$0.01$
$-1$	$0.1$
$0$	$1$
$1$	$10$
$2$	$100$
$3$	$1000$
$4$	$10000$
$5$	$100000$
$6$	$1000000$

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

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
Number entry
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Number entry
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This question is used in the following exams:

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Stanislav Duris 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Stanislav Duris 7 years, 9 months ago

Stanislav Duris 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Calculate powers of ten

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Stanislav Duris 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Christian Lawson-Perfect 7 years, 9 months ago

Stanislav Duris 7 years, 9 months ago

Stanislav Duris 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`