Understanding BODMAS
- August 2, 2024
- Posted by: admin
- Category: Mathematical Literacy Notes Mathematics Notes

In this page you will learn about Understanding BODMAS. Study or download the notes with questions and answers.

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About Understanding BODMAS
In these notes you are going to be able to practice the basic BODMAS procedures when calculating and solving questions based on Power Numbers And Roots, Problems With Decimals And Mixed. Make sure to practice all the questions so that you get used to solving problems of this nature.
Note that “Understanding BODMAS” is a sub topic and you can also access more notes, questions and answers under the main topic “Operations On Numbers And Calculator Skills“ which is one of the recommended learning topics in the Mathematical Literacy Curriculum. Â Â
Basic BODMAS Procedure
1.Â
\[(8\;+\;6\;\div\;2)\;+\;\frac12\times10-5\]Answer:
\[=\;(8\;+\;3)\;+\frac12\times10-5\]
\[=\;11\;+\frac12\times10-5\]
\[=11+5-5\]
\[=11\]
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Practice More Questions Like This2.
\[80\;\div\;2\;\times\;5\;+\;\frac14\;of\;60\]Answer:
\[80\;\div\;2\;\times\;5\;+\;\frac14\;\times\;60\]
\[=\;80\;\div\;2\;\times\;5\;+\;15\\=\;40\;\times\;5\;+\;15\;\\=\;200\;+\;15\;\\=\;215\\\]
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Practice More Questions Like This3.
\[50\;+\;4\times\frac18\;of\;240\\\\\]Answer:
\[=50\;+\;4\times\frac18\;\times\;240\\=50\;+\;4\times30\\=\;50\;+\;120\;\\=\;170\\\\\]
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Powers
1.
\[8^2\]2.
\[5^3\]3.
\[2^3\\\\\]Roots
Powers And Roots
1.
\[{(3\;+\;2)}^2-5\times3+2^3\]Answer:
\[=5^2-5\times3+2^3\\=\;25-\;5\;\times\;3\;+2^3\\=25-15\;+2^3\\=\;25\;-\;15\;+\;8\\=\;10\;+\;8\;\\=\;18\\\\\]
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Practice More Questions Like This2.
\[\sqrt{16}+{(\sqrt{25})}^2-3^2\times2\div6\]Â
Answer:
\[=\;4\;+\;5^2-\;9\;X\;2\;\div\;6\\=\;4\;+\;25\;-\;18\div6\;\\=\;4\;+\;25-\;3\;\\=\;26\]
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Problems With Decimals
1.
\[26\%\;of\;R585,99\\\]Answer:
\[=\;26\;\div\;100\;\times\;585,99\\\approx R152,36\\\]
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Practice More Questions Like This2.
\[356,24\;+{\;2,3}^2\times\sqrt{121}\]Answer:
\[=\;356,\;24\;+\;2,3\;\times\;2,3\;\times(\sqrt{121})\\=\;356,24\;+\;5,29\;\times\;11\\=356,24\;+\;5,29\;\times\;11\;\\=\;356,\;14\;+\;58,\;19\;\\=\;414,43\\\]
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Practice More Questions Like This3.
\[{(\frac45)}^3\;of\;128\;+\;10,8\]Answer:
\[={\;(0,8)}^3\times128+10,8\\=\;0,512\;\times\;128\;+\;10,8\;\\=\;65,536\;+\;10,8\\=\;76,336\\\approx76,34\\\]
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Practice More Questions Like ThisMixed Problems To Solve
1.
\[\frac{46\;+\;6\;\times\;4}{55\;-\;5\;\times\;7}\\\]Answer:
\[=\frac{46\;+\;24}{55\;-\;35}\\=\frac{70}{20}\\=\frac72\\=3,5\\\]
Practice More Questions Like This2.
\[15\%\;of\;R63,\;15\\\]3.
\[5\;+\frac23of\;150\\\]4.
\[{48,6}^2\div10+\sqrt{121}\\\]Answer:
\[=\;2361\;,96\;\div10+\;11\;\\=\;236,196\;+\;11\;\\=\;247,196\;\\=\;247.20\\\]
Practice More Questions Like This5.
\[17\mathrm\pi\times\frac{11}{100}\\\]Answer:
\[=(17\;x\;3,142)\;x\frac{11}{100}\\=53,414x\frac{11}{100}\\=5,87554\\=5,88\\\]
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