Order of operations

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Julie Crowley

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Julie Crowley 8 years, 5 months ago

Published this.

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Julie Crowley 10 years, 9 months ago

Created this as a copy of christian's copy of C1S1P1 - Aritm?tica y uso de par?ntesis (VetCBA1.1) V1.1 Lista!!!.

Name	Status	Author	Last Modified
Order of operations	draft	Julie Crowley	09/10/2016 19:41
Simon's copy of Order of operations	draft	Simon Thomas	18/02/2019 13:31

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Question statement

Use the correct order of operations to calculate the following

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	2
a4	integer	6
ans1	rational	7
ans2	rational	-51
ans3	rational	40
a3	integer	1
b4	integer	3
b5	integer	9
b6	integer	1
a2	integer	3
b7	integer	-25
b1	integer	50
b2	integer	5
b3	integer	-3
c3	integer	2
c2	integer	7
c1	integer	4
a5	integer	3
c6	integer	2
c5	integer	4
c4	integer	4

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Name

Data type

Value

xxxxxxxxxx
 
random(-50..50 except 0)

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Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

→ Used by:

ans1

Advice
"Part a)" - prompt

Parts

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

Gap-fill

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

$\displaystyle \simplify[all,!collectNumbers,!simplifyFractions]{{a1}+ {a2}{a3}+{a4}/{a5}}=\;$ Unnamed gap

Advice

Remember the order of operations

B Brackets

O pOwers

D Division

M Multiplication

A Addition

S Subtraction

First do the calculations $\displaystyle \simplify[all,!simplifyFractions]{{a4}/{a5}={a4/a5}}$ and $\simplify[all,!collectNumbers]{{a2}*{a3}={a2*a3}}$ .

and then we get

$\begin{align} \simplify[all,!collectNumbers,!simplifyFractions]{{a1}+ {a2}{a3}+{a4}/{a5}}&=\simplify[all,!collectNumbers,!simplifyFractions]{{a1}+ {a2*a3}+{a4/a5}}\\&=\var{ans1}\end{align}$

First do the calculations $\displaystyle \simplify[all,!collectNumbers,!simplifyFractions]{{b1}/{b2}={b1/b2}} \text{ and } \simplify[all,!collectNumbers]{{b3}({b4}+{b5})={b3}{b4+b5}={b3*(b4+b5)}}$

and then we get

$\begin{align} \simplify[all,!collectNumbers,!simplifyFractions]{{b1}/{b2}+{b3}*({b4}+{b5}){b6}+{b7}}&=\simplify[all,!collectNumbers]{{b1/b2}+{b3*(b4+b5)}+{b7}}\\&=\var{ans2}\end{align}$

First do the calculations $\displaystyle \simplify[all,!collectNumbers,!simplifyFractions]{({c4}+{c5})/{c6}={c4+c5}/{c6}={(c4+c5)/c6}} \text{ and } \simplify[all,!collectNumbers]{{c1}({c2}+{c3})={c1}{c2+c3}={c1*(c2+c3)}}$

and then we get

$\begin{align} \simplify[all,!collectNumbers,!simplifyFractions]{{c1}*({c2}+{c3})+({c4}+{c5})/{c6}}&=\simplify[all,!collectNumbers]{{c1*(c2+c3)}+{(c4+c5)/c6}}\\&=\var{ans3}\end{align}$

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Julie Crowley 8 years, 5 months ago

Julie Crowley 10 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Order of operations

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Julie Crowley 8 years, 5 months ago

Julie Crowley 10 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`