ND3 Rounding SF (decimal)

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of Skills Audits for Maths and Stats :

Will Morgan

said

Ready to use

1 year, 2 months ago

History

○

Will Morgan 1 year ago

Published this.

○

Will Morgan 1 year, 2 months ago

Gave some feedback: Ready to use

○

Will Morgan 1 year, 2 months ago

Created this as a copy of ND2 Rounding SF (integer).

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

Give any introductory information the student needs.

			Name	Type	Generated Value

sf	integer	3
ddig	list	[ 6, 3, 9, 5, 2, 8 ]
edig	list	[ 4, 2, 1, 2, 6 ]
d1	integer	825936
e1	number	0.00062124

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
3

JME function reference

Description

Number of significant figures 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

Gap-fill

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

Round $\var{e1}$

iii) $\var{e1}$ rounded to 1 significant figure is: Gap 0.

iv) $\var{e1}$ rounded to {sf} significant figures is: Gap 1.

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 significant figures, 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.

The last digit we need to keep will depend on how many zeros there are. We don't consider leading zeros to be significant,
i.e. 0.03 and 0.3 both have 1 significant figure (but 0.30 has two significant figures, since the second zero isn't a 'leading' zero).

We round $\var{e1}$ to 1 significant figure. The first non-zero digit is $\var{edig[4]}$ , followed by $\var{edig[3]}$ . This is to get $\var{sigformat(e1,1)}$ .

ii)

We round $\var{e1}$ to {sf} significant figures. The first non-zero digit is $\var{edig[4]}$ . The second following digit is $\var{edig[3]}$ , the third following digit is $\var{edig[2]}$ and the fourth following digit is $\var{edig[1]}$ . The digit following the last digit we are keeping is $\var{edig[2]}$ , so we round to get $\var{sigformat(e1, sf)}$ . These are our {sf} significant figures.

Use this link to find some resources which will help you revise this topic.

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

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

Will Morgan 1 year ago

Will Morgan 1 year, 2 months ago

Will Morgan 1 year, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

ND3 Rounding SF (decimal)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Will Morgan 1 year ago

Will Morgan 1 year, 2 months ago

Will Morgan 1 year, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`