Rounding numbers to a given number of decimal places

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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

Published this.

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Stanislav Duris commented 7 years, 9 months ago

Rounding numbers was split into 3 separate questions.

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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 Rounding numbers to a given number of significant figures.

Name	Status	Author	Last Modified
Rounding numbers to a given number of significant figures	Ready to use	Stanislav Duris	20/11/2019 14:42
Rounding numbers to a given number of decimal places	Ready to use	Stanislav Duris	20/11/2019 14:42
Rounding numbers to the nearest powers of ten	Ready to use	Stanislav Duris	20/11/2019 14:42
Hannah's copy of Rounding numbers to a given number of significant figures	draft	Hannah Bartholomew	14/09/2017 11:19
Hannah's copy of Rounding numbers to a given number of significant figures	draft	Hannah Bartholomew	14/09/2017 11:28
Harry's copy of Hannah's copy of Rounding numbers to a given number of significant figures	draft	Harry Flynn	18/01/2019 14:13
Rounding: to a given number of decimal places	Ready to use	Ruth Hand	27/09/2022 09:01
Rounding: to a given number of significant figures	Ready to use	Ruth Hand	27/09/2022 09:01
ND1 Rounding DP	Ready to use	Oliver Spenceley	10/04/2024 09:26
ND2 Rounding SF (integer)	Ready to use	Oliver Spenceley	10/04/2024 09:26
ND3 Rounding SF (decimal)	Ready to use	Will Morgan	10/04/2024 09:26

There are 29 other versions that do you not have access to.

Question statement

We can approximate numbers by rounding.

Round $\var{c1}$ to a given number of decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

dp	integer	3
cdig	list	[ 2, 3, 2, 7, 3 ]
c1	number	3.37232

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..4)

JME function reference

Description

Number of decimal places to round.

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

Gap-fill

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

i) $\var{c1}$ rounded to 1 decimal place is: Gap 0.

ii) $\var{c1}$ rounded to 2 decimal places is: Gap 1.

iii) $\var{c1}$ rounded to {dp} decimal places is: Gap 2.

Advice

The first thing to do when we are rounding numbers is to identify the last digit we are keeping.

When you're asked to round your answer to a number of decimal places, you need to decide whether to keep the last digit same (rounding down) or increase it by 1 (rounding up). If the following digit is less than 5 we round down and we round up when the next digit is 5 or more.

To write it down in steps:

Identify the last digit we need to keep.
Look at the following digit.
If it's 5 or more, increase the previous digit by one.
If it's 4 or less, keep the previous digit the same.
Fill any spaces to the right of the digit with zeros if needed.

It is important to keep in mind that if the digit we are increasing is 9, it becomes zero and we increase the previous digit instead. If this digit is 9 as well, we move along to the left side until we find a digit less than 9.

To round a number to a given number $n$ of decimal places, we look at the $n$ th digit after the decimal point.

We have $\var{c1}$ .

We look at the first digit after the decimal point. This is $\var{cdig[4]}$ and the following digit is $\var{cdig[3]}$ so we round to get $\var{precround(c1, 1)}$ .

ii)

The second digit after the decimal point is $\var{cdig[3]}$ . It is followed by $\var{cdig[2]}$ so we round to get $\var{precround(c1, 2)}$ .

iii)

The 3rd decimal place is $\var{cdig[2]}$ , followed by $\var{cdig[1]}$ . We get $\var{precround(c1, 3)}$ . The 4th decimal place is $\var{cdig[1]}$ , followed by $\var{cdig[0]}$ . We get $\var{precround(c1, 4)}$ .

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
Number entry		Hasn't run yet

This question is used in the following exams:

maths practice-revision by David Martin in David's workspace.
QTS by Lyn Gardner in Lyn's workspace.
Nick's copy of Rounding and estimating by Nick Walker in Nick's workspace.
Test 1: number by Hannah Bartholomew in Hannah's workspace.
Numeracy resit test by Heike Wanke in Heike's workspace.
Module 3 by Niharika Singh in Niharika's workspace.
first exam by Sara Santos in Sara's workspace.
exam - percentages and rounding by Sara Santos in Sara's workspace.
Week 1: Arithmetic and Measurement by Amy Barker in Maths and Stats.
Rounding and estimating by Anna Cartlidge in Glasgow Numbas Question Pool.
Transition Rounding by Chris Templet in Chris's workspace.
claire's copy of Rounding and estimating by claire lines in claire's workspace.
ME0006 Wk 1 Test 1 by claire lines in claire's workspace.
Test for Nic Terry and Venusha - with Password - GO by claire lines in claire's workspace.
Rounding and estimating by Christian Lawson-Perfect in Transition to university.
Заокружувања и приближни пресметувања by Snezana Zlatkovska in Snezana's workspace.
FoR Summative Maths Test by Angus Rosenburgh in Angus's workspace.
Example question set by Julie Usher in Julie's workspace.
Scientific notation and rounding by Wan Mekwi in Wan's workspace.

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Rounding numbers to a given number of decimal places

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Stanislav Duris 7 years, 9 months ago

Stanislav Duris commented 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

Loading...

Error

Rounding numbers to a given number of decimal places

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Stanislav Duris 7 years, 9 months ago

Stanislav Duris commented 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`