Functions: floor and roof

Error

There was an error loading the page.

Contributors

Daniel Mansfield

Feedback

From users who are members of Discrete Mathematics :

Daniel Mansfield

said

Ready to use

7 years, 8 months ago

History

○

Daniel Mansfield 7 years, 8 months ago

Gave some feedback: Ready to use

○

Daniel Mansfield 7 years, 8 months ago

Published this.

○

Daniel Mansfield 7 years, 8 months ago

Created this.

Name	Status	Author	Last Modified
Functions: floor and roof	Ready to use	Daniel Mansfield	13/09/2020 12:03
Lois's copy of Functions: floor and roof	draft	Lois Rollings	19/08/2020 13:23
Functions: floor and roof	draft	Xiaodan Leng	10/07/2019 23:30

There are 4 other versions that do you not have access to.

Question statement

The floor of $x$ is defined to be the largest integer smaller than $x$ . Similarly the ceiling of $x$ is defined to be the smallest integer bigger than $x$ . We use the notation $\lfloor x\rfloor$ for the floor and $\lceil x\rceil$ for the ceiling. Evaluate the following:

Give any introductory information the student needs.

			Name	Type	Generated Value

decimal

dec("5.7")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
decimal(random(1..9)+random(1..9)/10)

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: `decimal`

dec("5.7")

→ Used by:

"Part a)" - prompt
"Part a)" - Correct answer
"Part b)" - prompt
"Part b)" - Correct answer
"Part c)" - prompt
"Part c)" - Correct answer
"Part d)" - prompt
"Part d)" - Correct answer

Advice

Normally, when you round a number you round up to the nearest integer. For example $3.51$ gets rounded up to $4$ , but $3.49$ gets rounded down to $3$ .

The floor and ceiling functions are two different ways of rounding a number.

The floor function always rounds down: $\lfloor 3.51\rfloor = 3$ .
In contrast the ceiling function always rounds up: $\lceil 3.49 \rceil = 4$ .

Give a worked solution to the whole question.

URL

Text alternative

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?
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Daniel Mansfield 7 years, 8 months ago

Daniel Mansfield 7 years, 8 months ago

Daniel Mansfield 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `decimal`

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Loading...

Error

Functions: floor and roof

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Daniel Mansfield 7 years, 8 months ago

Daniel Mansfield 7 years, 8 months ago

Daniel Mansfield 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: decimal

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `decimal`