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\par CARRYING OUT CALCULATIONS: Show clearly your methods of carrying out calculations
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麻豆社 Bitesize Revision: Approximating and estimating
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6500720073002f0077006800610074006100720065006e0075006d0062006500720073002f0072006f0075006e00640069006e0067002f000000e0c9ea79f9bace118c8200aa004ba90b9c00000068007400740070003a002f002f007700770077002e006200620063002e0063006f002e0075006b002f0073006b0069006c
006c00730077006900730065002f006e0075006d0062006500720073002f00770068006f006c0065006e0075006d0062006500720073002f0077006800610074006100720065006e0075006d0062006500720073002f0072006f0075006e00640069006e0067002f0000000000}}}{\fldrslt {\rtlch \af1\afs22 
\ltrch \cs23\f1\fs22\ul\cf2\insrsid8789675\charrsid14049902 http://www.bbc.co.uk/skillswise/numbers/wholenumbers/whatarenumbers/rounding/}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8789675 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3880856 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid8789675 
\par 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14881181 {\rtlch \ab\af0 \ltrch \b\f0\insrsid3880856 C1.1}{\rtlch \af0 \ltrch \f0\insrsid3880856 \tab }{\rtlch \ab\af1\afs22 
\ltrch \b\f1\fs22\insrsid3880856 Presenting calculations}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3880856\charrsid3880856 
\par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid3880856\charrsid6255080 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid14881181\charrsid1605270 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid1605270 : }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1605270\charrsid1605270 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 
\par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid14881181\charrsid6255080 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin0\itap0\pararsid14881181 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 Show and present methods of calculation. [NOE]
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14881181 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid14881181\charrsid1605270 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid1605270 :
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 It is important that calculations can be read easily by someone reading them. There are various things that will help:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270\charrsid6255080 
\par {\listtext\pard\plain\ltrpar \rtlch \ab\af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid14881181\charrsid1605270 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid14881181 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid1605270 Annotate the method }{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid1605270\charrsid1605270 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 A}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
dd some notes to explain how the calculation is done and most especially why that particular calculation has been chosen.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270\charrsid6255080 
\par {\listtext\pard\plain\ltrpar \rtlch \ab\af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid14881181\charrsid1605270 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid14881181 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid1605270 Under}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid1605270\charrsid1605270 line the answer}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid1605270  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1605270\charrsid1605270 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 I}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
t is important to be able to see easily what the answer actually is. It should be written separately, in the terms of the question. It is helpful to underline the answer to make it stand out.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270\charrsid6255080 
\par {\listtext\pard\plain\ltrpar \rtlch \ab\af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1605270\charrsid1605270 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid14881181 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1605270\charrsid1605270 State the chosen accuracy}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid14881181\charrsid1605270  }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1605270\charrsid1605270 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 A}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
lways say what accuracy an answer has been given to, if you have done any rounding. For example, to the nearest whole penny or to 2 decimal places would be appropriate. (}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11161916 Refer to }{\rtlch \ab\af1\afs22 
\ltrch \b\f1\fs22\insrsid11161916 Carrying Out Calculations, Section}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid11161916 C1.2}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid14881181\charrsid6255080  and }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid11161916 Interpreting Information, Section }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14881181\charrsid11161916 I4.1}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid14881181\charrsid6255080 ). }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181 
\par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1605270\charrsid6255080 
\par {\listtext\pard\plain\ltrpar \rtlch \ab\af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1605270\charrsid1605270 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid14881181 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1605270\charrsid1605270 State the units}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid14881181\charrsid1605270  }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1605270\charrsid1605270 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1605270 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1605270 A}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14881181\charrsid6255080 
lways make sure that units are used if they are in the question. Be especially careful with areas and volumes to include (for example) the cm\'b2 or cm\'b3.}{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid14881181\charrsid6255080 
\par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13828351\charrsid11161916 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11161916 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8789675 
\par 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8789675\charrsid11161916 
\par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch 
\ab\af0 \ltrch \b\f0\insrsid1184238 C1.2}{\rtlch \af0 \ltrch \f0\insrsid1184238 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238 Levels of accuracy}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid3880856 
\par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11161916\charrsid11161916 
\par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch 
\ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1184238\charrsid1184238 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid1184238 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238 
\par 
\par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 Choose a suitable level of accuracy. [NOE]
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Round a quantity to a given number of decimal places. [NOE]
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin567\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
Recognise the amount that quantities have been rounded to (e.g. recognise that 3.8 given as \'a3 is to the nearest 10p).
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 Round a quantity to a given number of significant figures. [NOE]

\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238 
\par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid10029341 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1184238\charrsid1184238 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid1184238 :
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1184238\charrsid1184238 Choose a suitable level of accuracy}{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 In an exam}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  it is common for a question to tell you what level of accuracy is required. For example}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid1184238\charrsid10029341  it may say, }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid1184238 \'93Write your answers to 2 decimal places\'94}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
. In this case}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 , it is important to do as the question}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  says. In practical work}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  a sensible level of}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238  accuracy should be chosen. (Refer to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238 Interpreting Information
}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid1184238 , Section I4.1}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 ).}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 When }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238 you are working with units that}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  round naturally}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238\charrsid10029341  make sure they are used appropriately. Money is the best example. When working in pounds}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
 always use 2 decima}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 l places. For example, \'a33.45, that is}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  3 pounds and 45p. Writing \'a33.5 is }{\rtlch \ai\af1\afs22 \ltrch 
\i\f1\fs22\insrsid1184238\charrsid10029341 never}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  good style! When a rough answer is fine}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238\charrsid10029341  write it}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4199803  to}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  the nearest pound i.e. \'a33.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 

\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 For practical experiments}{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
 rounding to one decimal place is most common. For especially accurate work, 2 decimal places can be used. It would be rare to need a higher level of accuracy than this.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par Where there is no decimal involved, work to 2 significant figures or}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  for rough approximation or checking work}{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid1184238 , to 1 significant figure (Refer to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238 Interpreting Information,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238  }{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid1184238\charrsid1184238 Section I4.2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 ).
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1184238\charrsid1184238 Round a quantity to a}{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7371545  given number of decimal places}{\rtlch \ab\ai\af1\afs22 \ltrch 
\b\i\f1\fs22\insrsid1184238\charrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 The trick with
 decimal places is to look at the }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid10029341 next}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
 digit. If we want to round to 2 decimal places, look at the third digit. If it is 5 or above, then we round the }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid10029341 second}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238\charrsid10029341  digit up one. 
\par }\pard\plain \ltrpar\s25\ql \li567\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid1184238 \rtlch \af118\afs24\alang1025 \ltrch \f118\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 (Notice that we can abbreviate decimal places to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid1184238 d.p.)}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }\trowd \irow0\irowband0\lastrow \ltrrow\ts26\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 
\trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr
\brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1184238\yts26 \rtlch 
\af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238 Example Questions:
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
\par }\pard\plain \ltrpar\s24\ql \li0\ri0\widctlpar\intbl\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1184238\yts26 \rtlch \af118\afs24\alang1025 \ltrch \f118\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {
\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid1184238 Round 3.478 to 2 decimal places. 
\par }\pard\plain \ltrpar\ql \fi-567\li1134\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\pararsid1184238\yts26 \rtlch \af36\afs24\alang1025 \ltrch 
\f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 In 3.47}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1184238\charrsid10029341 8}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  the 3}{\rtlch \af1\afs22 \ltrch \f1\fs22\super\insrsid1184238\charrsid10029341 rd}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
 digit is 8 so we round up. 
\par The 7 rounds up to 8.
\par 3.478 = 3.48 (to 2 d.p.)
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1184238\yts26 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1184238\yts26 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid1184238\charrsid1184238 Round 12.79621 to 2 decimal places.

\par }\pard \ltrpar\ql \li567\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\pararsid1184238\yts26 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 In 12.79}{\rtlch \ab\af1\afs22 
\ltrch \b\f1\fs22\insrsid1184238\charrsid10029341 6}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 21}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  the 3}{
\rtlch \af1\afs22 \ltrch \f1\fs22\super\insrsid1184238\charrsid10029341 rd}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  digit is 6 so we round up.
\par The 9 rounds up to 10. }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 That m}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 eans}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  the 79 become}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238 s}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341  80.
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\pararsid8789675\yts26 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 12.79621 = 12.80 (to 2 d.p.)}{
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8789675 \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid1184238 \trowd \irow0\irowband0\lastrow \ltrrow\ts26\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 
\trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr
\brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid1184238 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7371545 Recognise the amount that quantities have been rounded to}{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid1184238\charrsid7371545 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af36 \ltrch \insrsid7371545\charrsid7371545 
\par }\pard \ltrpar\ql \li567\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 
Pounds and pence are a very common special case of using decimals. It is important to be able to read decimal pounds as pounds and pence.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid10029341 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li873\ri0\widctlpar
\jclisttab\tx873\tx1134\aspalpha\aspnum\faauto\ls9\ilvl1\adjustright\rin0\lin873\itap0\pararsid5705210 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 \'a33.20 is 3 pounds and 20p
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li873\ri0\widctlpar
\jclisttab\tx873\tx1134\aspalpha\aspnum\faauto\ls9\ilvl1\adjustright\rin0\lin873\itap0\pararsid1184238 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1184238\charrsid10029341 \'a33.02 is 3 pounds and 2p
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid1184238\charrsid10029341 \loch\af3\dbch\af0\hich\f3 \'b7\tab}3.2 pounds is 3 pounds and 20p. It is written to the nearest 10p.}{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid1184238 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7371545 Round a quantity to a given number of significant figures}{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7371545\charrsid7371545 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 Significant figures are needed to choose the accuracy of larger numbers.
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7371545 For example:
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4410623\charrsid4410623 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 A newspaper headline }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 reports the amount of}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545  money }{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid7371545 that }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 was stolen in a major robbery. Saying }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid7371545 \'93\'a33,456,}{\rtlch \ai\af1\afs22 \ltrch 
\i\f1\fs22\insrsid7371545\charrsid7371545 092 stolen\'94}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545  isn\rquote t very punchy! Instead we would say }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid7371545\charrsid7371545 \'93nearly 
\'a33,500,000\'94.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 
 This is the amount written to 2 significant figures. It works the same as decimal places. We look at the third number to decide whether the second number should be rounded up or not.
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par To arrive at this, we follow the following steps:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7371545 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar
\jclisttab\tx720\tx1134\aspalpha\aspnum\faauto\ls7\adjustright\rin0\lin720\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 3,456,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 092 \endash  the th
ird digit is 5 so we round the 4 up to a 5.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7371545 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar
\jclisttab\tx720\tx1134\aspalpha\aspnum\faauto\ls7\adjustright\rin0\lin720\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 We have to put in zeroes to make the number the same }{\rtlch \ai\af1\afs22 \ltrch 
\i\f1\fs22\insrsid7371545 order of magnitude}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 , i.e. roughly the same size.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7371545 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar
\jclisttab\tx720\tx1134\aspalpha\aspnum\faauto\ls7\adjustright\rin0\lin720\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 So we write 3,500,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 000.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4410623 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 
We can also do this for very small numbers. The only difference is that we start counting the }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid7371545\charrsid7371545 significant}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 
 figures at the first non-zero digit.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4410623 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7371545\charrsid7371545 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar
\jclisttab\tx720\tx1134\aspalpha\aspnum\faauto\ls7\adjustright\rin0\lin720\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 0.000437819 to 2 significant figures is 0.00044.}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7371545 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7371545\charrsid7371545 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar
\jclisttab\tx720\tx1134\aspalpha\aspnum\faauto\ls7\adjustright\rin0\lin720\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 The third digit i}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4410623 
s 7 so we round the 3 up to a 4.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545\charrsid7371545 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7371545 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7371545 
\par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\nooverflow\faroman\rin0\lin0\itap0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11161916\charrsid11161916 
\par }}