Arithmetic operations: Inequalities

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Stanislav Duris

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Stanislav Duris

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7 years, 9 months ago

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Stanislav Duris 7 years, 9 months ago

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Stanislav Duris 7 years, 9 months ago

Gave some feedback: Ready to use

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Stanislav Duris 7 years, 9 months ago

Created this as a copy of Basic arithmetic operations: addition and subtraction.

Name	Status	Author	Last Modified
Basic arithmetic operations: addition and subtraction	Ready to use	Stanislav Duris	20/11/2019 14:32
Determining the resulting sign of an arithmetic operation	Ready to use	Stanislav Duris	20/11/2019 14:37
Arithmetic operations: Inequalities	Ready to use	Stanislav Duris	20/11/2019 14:32

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Question statement

Choose the correct symbols to describe the relations between each of these pairs of numbers.

Give any introductory information the student needs.

			Name	Type	Generated Value

dec	list	List of 7 items
neg	list	List of 8 items
pos	list	[ 145, 65, 52, 134, 186 ]
random2	number	0.564
random	list	[ 0.001, 0.01, 0.003 ]
a	number	-69.436
b	number	-69.097
c	number	69.097
d	number	69.436

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(0..50 #0.01 except 0..50), 7)

JME function reference

Description

Random decimals.

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`

[ 2.67, 38.66, 41.66, 14.88, 38.48, 2.03, 44.99 ]

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Choose one from a list
  Add
Part b) Gap-fill
1. Gap Choose one from a list
  Add
Part c) Gap-fill
1. Gap Choose one from a list
  Add

Gap-fill

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

$\var{dec[6] + 0.001 + random[0]}$ Unnamed gap $\var{dec[6] - random[1]}$

Advice

$\begin{align} \text{Symbol }&\lt \text{ denotes "less than".} \\ \text{Symbol }&\gt \text{denotes "greater than".} \end{align}$

a)

$\var{dec[6] + 0.001 + random[0]}$ is greater than $\var{dec[6] - random[1]}$ so

$\var{dec[6] + 0.001 + random[0]} \gt \var{dec[6] - random[1]} \text{.}$

b)

When both of the numbers that you are comparing are negative, it may be tempting to ignore the negative signs and make an incorrect assumption. For example, when we have -5 and -4 we might ignore the signs and assume -5 is larger than -4 since +5 is larger than +4. This is however wrong, -5 < -4.

To understand this a bit better, look at the following number line:

Following the number line from left to right, we can see that $\var{neg[7] + random2}$ is less than $\var{neg[7] + 0.9 + random[2]}$ , so

$\var{neg[7] + random2} \lt \var{neg[7] + 0.9 + random[2]} \text{.}$

c)

Multiplying two negative numbers results in a positive number. Therefore we can see without performing any calculation that $(\var{neg[3]}) \times (\var{neg[2]}) \gt \var{-neg[3]*neg[2]}$ as positive numbers are always larger than negative numbers.

$(\var{neg[3]} \times \var{neg[2]}) \gt \var{-neg[3]*neg[2]}$

$\var{neg[3] * neg[2]} \gt \var{-neg[3]*neg[2]}$

Give a worked solution to the whole question.

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This question is used in the following exams:

maths practice-revision by David Martin in David's workspace.
test ingresso quarta F by riccardo belle' in riccardo's workspace.
Arithmetic Quiz by Chetna Patel in Chetna's workspace.
Module 3 by Niharika Singh in Niharika's workspace.
Transition Arithmetic by Chris Templet in Chris's workspace.
Entry Math Test for BET at Chisholm Institute by Mohammad Rahman in Mohammad's workspace.

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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

Stanislav Duris 7 years, 9 months ago

Stanislav Duris 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

a)

b)

c)

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Error

Arithmetic operations: Inequalities

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Stanislav Duris 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: list

Parts

Gap-fill

a)

b)

c)

Generated value: `list`