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\li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 \par }{\rtlch \ab\af0 \ltrch \b\f0\insrsid10379626 I4}{\rtlch \af0 \ltrch \f0\insrsid10379626 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 Estimate amounts and proportions}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3881822 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid3881822 \par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid10379626 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid283603 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid283603 Useful Web Links: \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid13708867\charrsid9788918 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid13708867 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid13708867\charrsid1323482 麻豆社 Bitesize Revision: Maths}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid13708867 : Approximating and estimating \par }{\field\flddirty{\*\fldinst {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13708867 HYPERLINK "}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13708867\charrsid16726390 http://www.bbc.co.uk/schools/gcsebitesize/maths/numberf/approximatingandestimatingrev1.shtml}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13708867 " }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13592498\charrsid14049902 {\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000170000005d00000068007400740070003a002f002f007700770077002e006200620063002e0063006f002e0075006b002f007300630068006f006f006c0073002f0067006300730065006200690074006500730069007a0065002f006d0061007400680073002f006e00 75006d0062006500720066002f0061007000700072006f00780069006d006100740069006e00670061006e00640065007300740069006d006100740069006e00670072006500760031002e007300680074006d006c000000e0c9ea79f9bace118c8200aa004ba90bba00000068007400740070003a002f002f007700770077 002e006200620063002e0063006f002e0075006b002f007300630068006f006f006c0073002f0067006300730065006200690074006500730069007a0065002f006d0061007400680073002f006e0075006d0062006500720066002f0061007000700072006f00780069006d006100740069006e00670061006e0064006500 7300740069006d006100740069006e00670072006500760031002e007300680074006d006c00000000}}}{\fldrslt {\rtlch \af1\afs22 \ltrch \cs23\f1\fs22\ul\cf2\insrsid13708867\charrsid14049902 http://www.bbc.co.uk/schools/gcsebitesize/maths/numberf/approximatingandestimatingrev1.shtml}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13708867 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3881822 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid283603 \par \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 {\rtlch \ab\af0 \ltrch \b\f0\insrsid10379626 I4.1}{\rtlch \af0 \ltrch \f0\insrsid10379626 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 Accuracy}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3881822 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid10379626 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid3881822\charrsid10379626 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 : }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12473897\charrsid10379626 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid3881822\charrsid11165672 \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\pararsid3881822 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 Round quantities to the nearest whole amount. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid3881822 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid10379626\charrsid11165672 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid3881822\charrsid10379626 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 :}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 We always state amounts and the results of calculations to an appropriate level of accuracy. \par If you bought a pack of 7 games for \'a344.90, how much do they cost each? \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 On a calculator, you would work this out as }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 44.90 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 7 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 6.414285714}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 . \par However, telling someone they cost \'a36. 414285714 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 would just sound}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 daft!}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid11165672 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 To the nearest penny is normal with money \endash that\rquote s }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 \'a36.41}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 . \par We could tell them to the nearest 10p. That\rquote s }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 \'a36.40}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 . \par The nearest pound is }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid3881822\charrsid10379626 \'a36}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822\charrsid11165672 . \par It just depends how accurate we want to be. \par \par The only issue with accuracy is to decide when to round up. There is a convention that the half way point counts as the one above. \par So, the nearest pound to \'a36.50 is \'a37. \par The nearest 10p to 75p is 80p. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid3881822 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 For information on rounding to a given number, decimal places or significant figures, refer to }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12473897 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12473897 Interpreting Information, Section I2}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12473897\charrsid12473897 \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\insrsid12473897 \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2633414 \par \par \par \par \par \par \par \par \par \par \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\af0 \ltrch \b\f0\insrsid10379626 I4.1}{\rtlch \af0 \ltrch \f0\insrsid10379626 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 Approximate calculation}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 \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\insrsid10379626 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid10379626\charrsid10379626 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12473897 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid10379626\charrsid3357539 \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\ls2\adjustright\rin0\lin567\itap0\pararsid10379626 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 Estimate the outcome of a calculation by rounding to one significant figure. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid10379626\charrsid3357539 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid10379626\charrsid10379626 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 \par Very often we don\rquote t need to know an exact answer to a calculation. Getting a rough idea is fine. This can sometimes be helpful to check that accura}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12473897 te answers are reasonable (refer to}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12473897 Carrying Out Calculations, }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 Section C11}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 ).}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 \par We normally take only the most significant digit in each number and make a mental calculation. \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14187198 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid3357539 For example}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 : \par \par 27.967 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 5.2613 \par This is roughly }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 30 }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 5 = 150}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 . \par If we were asked to estimate the value of the calculation}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 an answer of }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 150}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626\charrsid3357539 would do fine. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10379626 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626 Another example: \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10379626\charrsid10379626 \par }{\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10379626 \rtlch \af1\afs22\alang1025 \ltrch \f1\fs22\lang2057\langfe1033\cgrid\langnp2057\langfenp1033\insrsid10379626\charrsid3357539 {\object\objemb\objw1760\objh620{\*\objclass Equation.3}{\*\objdata 01050000020000000b0000004571756174696f6e2e3300000000000000000000100000 d0cf11e0a1b11ae1000000000000000000000000000000003e000300feff0900060000000000000000000000010000000100000000000000001000000200000001000000feffffff0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 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fffffffffffffffffdffffff04000000feffffff05000000feffffff06000000feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 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