Johan's copy of multiplying and dividing with decimals

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Johan Maertens

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Johan Maertens 8 years, 2 months ago

Created this as a copy of multiplying and dividing with decimals.

Name	Status	Author	Last Modified
Decimal Places and Significant Figures	Ready to use	Julie Crowley	03/10/2023 09:19
multiplying and dividing with decimals	Ready to use	Julie Crowley	09/10/2016 19:44
Decimal Places and Significant Figures	draft	Rachel Staddon	18/09/2016 15:35
Johan's copy of multiplying and dividing with decimals	draft	Johan Maertens	12/02/2017 17:30
afronden kopie	draft	Johan Maertens	30/08/2017 16:30
STAT6012 Decimal Places and Significant Figures Short	draft	Catherine Palmer	22/02/2019 11:13
Harry's copy of Decimal Places and Significant Figures	draft	Harry Flynn	18/01/2019 14:30
Simon's copy of multiplying and dividing with decimals	draft	Simon Thomas	18/02/2019 15:38
Decimal Places and Significant Figures	draft	Simon Thomas	18/02/2019 15:44
Simon's copy of Decimal Places and Significant Figures	draft	Simon Thomas	20/02/2019 09:04
Decimal Places and Significant Figures	draft	Andrew McKinley	25/09/2019 11:56

There are 21 other versions that do you not have access to.

Question statement

Evaluate each of the following without using a calculator:

Give any introductory information the student needs.

			Name	Type	Generated Value

numa1	number	0.0011
numa2	number	0.19
numb1	number	0.000052
numb2	number	0.005
ans1	number	0.000209
ans2	number	0.00000026
numc1	number	1.35
numc2	number	0.0015
ans3	number	0.002025
numd1	number	28.7
numd2	number	0.0211
ans4	number	0.60557
d3	number	28.5
d1	number	0.5
d2	number	57
e3	number	18.7402
e1	number	0.0002
e2	number	93701
f3	number	147.11875
f1	number	0.0025
f2	number	58847.5
g3	number	0.0892
g1	number	22.3
g2	number	0.004
h3	number	0.006294425
h1	number	0.003449
h2	number	1.825
sig	number	1976.8165
dec	number	0.0001535
rand1	integer	1
rand2	integer	4
rand3	integer	4
rand4	integer	3
rand5	integer	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(0.0011..0.0035)

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: `number`

0.0011

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
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Part b) Gap-fill
1. Gap Number entry
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Part c) Gap-fill
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Gap-fill

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

$\var{numa1} \times \var{numa2}$

Unnamed gap

Advice

When multipling using decimals

When multipling using decimals, count how many decimal places you need to move the number to make it a whole number e.g

0.000054 to get to 54, we moved 6 decimal places and 0.004 to get to 4, we moved 3 decimal places

So if we want to do $0.000054 \times 0.004$ => we move the first number 6 decimal places and the second number 3 decimal places

=> $54 \times 4 = 216$

Now since we moved 9 decimal places, altogether to the right, we move the answer 9 decimals places back to the left i.e.

216 becomes 0.000000216

When rounding to a given number of decimal places

When rounding to a given number of decimal places, do the following

Look at the next number after the last number of the decimal places you need to round to

If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

round to 3 decimal places the following

$0.0055 = 0.006$

$0.0071 = 0.007$

When rounding to a given number of significant figures

When rounding to a given number of significant figures, do the following

Look at the next number after the last number of the significant figuresyou need to round to

If the number is 5 or greater, round up, if it is than 5, leave as is; i.e.

N.B. Remember to keep the number you rounded to the significant number of places in the same unit e.g. 10's, 100's etc

round to 3 significant figures the following

$2573 = 2570$

$7828 = 7830$

round to 1 significant figures the following

$15 = 20$

$38851 = 40000$

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:

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This question is used in the following exam:

Week 2 - Practice Exercises by Bobby Kahlon in Bobby's workspace.

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Johan's copy of multiplying and dividing with decimals

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Johan Maertens 8 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

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Error

Johan's copy of multiplying and dividing with decimals

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Johan Maertens 8 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`