Lois's copy of Functions: floor and roof

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Lois Rollings

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Lois Rollings 7 years, 5 months ago

Created this as a copy of Functions: floor and roof.

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

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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:

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			Name	Type	Generated Value

x1	rational	29/10
x_1		Definition of variable `x_1` is empty.
ceil		Definition of variable `ceil` is empty.

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Name

Data type

Value

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

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Description

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Generated value: `rational`

29/10

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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: $\lceil 3.49 \rceil = 4$ .

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This question is used in the following exam:

Mappings Quiz by Lois Rollings in Algebra 1 - Possibilities.

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Taxonomy: mathcentre

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Lois Rollings 7 years, 5 months ago

Error in variable testing condition

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Generated value: `rational`

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Lois's copy of Functions: floor and roof

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: rational

Parts

Gap-fill

Generated value: `rational`