Powers of negative numbers

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Contributors

Lois Rollings

History

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Lois Rollings 8 years, 7 months ago

Published this.

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Lois Rollings 9 years, 1 month ago

Created this as a copy of Negatives: powers of negative numbers.

Name	Status	Author	Last Modified
Negatives: adding negative numbers	Ready to use	Ben Brawn	25/07/2023 14:46
Negatives: subtracting negative numbers	Ready to use	Ben Brawn	11/02/2025 01:10
Negatives: multiplying negative numbers	Ready to use	Ben Brawn	11/02/2025 01:12
Negatives: dividing negative numbers	Ready to use	Ben Brawn	11/02/2025 01:12
Negatives: powers of negative numbers	Ready to use	Ben Brawn	11/02/2025 00:57
Negatives: combined question	Ready to use	Ben Brawn	11/02/2025 02:02
Powers of negative numbers	draft	Lois Rollings	28/07/2016 11:24
Negatives: combined question	draft	Marlon Arcila	25/07/2017 23:46
Negatives: powers of negative numbers	draft	Marlon Arcila	25/07/2017 23:47

There is one other version that you do not have access to.

Question statement

Find the value of the following. You should try to do these without a calculator but also check that you can use your calculator to get the correct answer.

Give any introductory information the student needs.

			Name	Type	Generated Value

n	list	[ -12, -6 ]
ans1	number	-144
ans2	number	36
m	integer	-5
ans3	number	-125
ans4	number	1
p	integer	12

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(-12..-2)[0..2]

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: `list`

[ -12, -6 ]

→ Used by:

ans1
ans2

"Part a)" - prompt
"Part b)" - prompt
"Part c)" - prompt

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add
Part d) Gap-fill
1. Gap Number entry
  Add
Part e) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

$\var{n[0]}^2$ = Unnamed gap

Advice

Notice that we need to distinguish between, say, $-3^2$ and $(-3)^2$ . The convention is that when we write $(-3)^2$ we mean the square of $-3$ , which is $9$ . When we write $-3^2$ we mean minus the square of $3$ or $-9$ .

In part (d), $\var{m}^3 = \var{m} \times \var{m} \times \var{m}$ . Multiplying three negative numbers together will give us a negative answer.

In part (e) the sign of the answer will depend on the power. Multiplying an even number of negative numbers will give us a positive answer; multiplying an odd number of negative numbers will give us a negative answer.

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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Error

Powers of negative numbers

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`