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	43
a4	integer	18
ans1	rational	32
ans2	rational	64
ans3	rational	-40
a3	integer	10
b4	integer	4
b5	integer	9
b6	integer	1
a2	integer	-2
b7	integer	10
b1	integer	30
b2	integer	2
b3	integer	3
c3	integer	7
c2	integer	4
c1	integer	-4
a5	integer	2
c6	integer	2
c5	integer	6
c4	integer	2

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Generated value: `integer`

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

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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

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Generated value: `integer`

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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`