Basic-Percentages Edexcel Higher

Basic percentages

What is a percentage?

• “Per-cent” simply means “out of 100” (or “ ÷ 100”)

• Rewriting fractions as percentages means they can be compared more easily

• You can do this by finding an equivalent fraction with a denominator of 100

  • 

  • 

  • 

  • The three percentages are much easier to compare than the three fractions

• Percentages are also equivalent to decimals

  • <img alt=”table row cell 100 percent sign end cell equals 1 row cell 10 percent sign end cell equals cell 0.1 end cell row cell 1 percent sign end cell equals cell 0.01 end cell row cell 0.1 percent sign end cell equals cell 0.001 end cell end table” data-mathml='<math ><semantics><mtable columnspacing=”0px” columnalign=”right center left”><mtr><mtd><mn>100</mn><mo>%</mo></mtd><mtd><mo>=</mo></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>10</mn><mo>%</mo></mtd><mtd><mo>=</mo></mtd><mtd><mn>0</mn><mo>.</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn><mo>%</mo></mtd><mtd><mo>=</mo></mtd><mtd><mn>0</mn><mo>.</mo><mn>01</mn></mtd></mtr><mtr><mtd><mn>0</mn><mo>.</mo><mn>1</mn><mo>%</mo></mtd><mtd><mo>=</mo></mtd><mtd><mn>0</mn><mo>.</mo><mn>001</mn></mtd></mtr></mtable><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”100″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%22100%22%20width%3D%22103%22%20wrs%3Abaseline%3D%2249%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtable%20columnalign%3D%22right%20center%20left%22%20columnspacing%3D%220px%22%3E%3Cmtr%3E%3Cmtd%3E%3Cmn%3E100%3C%2Fmn%3E%3Cmo%3E%25%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3Cmtr%3E%3Cmtd%3E%3Cmn%3E10%3C%2Fmn%3E%3Cmo%3E%25%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3Cmtr%3E%3Cmtd%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%25%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmn%3E01%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3Cmtr%3E%3Cmtd%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%25%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmtd%3E%3Cmtd%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmo%3E.%3C%2Fmo%3E%3Cmn%3E001%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3C%2Fmtable%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math11824c643d1feb4da18b28ed527’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAAA%2BGhlYWQQC2qxAAACjAAAADZoaGVhCGsXSAAAAsQAAAAkaG10eE2rRkcAAALoAAAADGxvY2EAHTwYAAAC9AAAABBtYXhwBT0FPgAAAwQAAAAgbmFtZaBxlY4AAAMkAAABn3Bvc3QB9wD6AAAExAAAACBwcmVwa1uragAABOQAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACAC4APf%2F%2FAAAALgA9%2F%2F%2F%2F0%2F%2FFAAEAAAAAAAAAAAFUAywAgAEAAFYAKgJYAh4BDgEsAiwAWgGAAoAAoADUAIAAAAAAAAAAKwBVAIAAqwDVAQABKwAHAAAAAgBVAAADAAOrAAMABwAAMxEhESUhESFVAqv9qwIA%2FgADq%2FxVVQMAAAEAIAAAAKAAgAADAC8YAbAEELAD1LADELAC1LADELAAPLACELABPACwBBCwA9SwAxCwAjywABCwATwwMTczFSMggICAgAACAIAA6wLVAhUAAwAHAGUYAbAIELAG1LAGELAF1LAIELAB1LABELAA1LAGELAHPLAFELAEPLABELACPLAAELADPACwCBCwBtSwBhCwB9SwBxCwAdSwARCwAtSwBhCwBTywBxCwBDywARCwADywAhCwAzwxMBMhNSEdASE1gAJV%2FasCVQHAVdVVVQABAAAAAQAA1XjOQV8PPPUAAwQA%2F%2F%2F%2F%2F9Y6E3P%2F%2F%2F%2F%2F1joTcwAA%2FyAEgAOrAAAACgACAAEAAAAAAAEAAAPo%2F2oAABdwAAD%2FtgSAAAEAAAAAAAAAAAAAAAAAAAADA1IAVQDIACADVgCAAAAAAAAAACgAAABuAAAA%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%2F)format(‘truetype’)%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7Dtext%7Bfill%3A%23000000%3B%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2213.5%22%20y%3D%2216%22%3E100%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2216%22%3E%25%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2252.5%22%20y%3D%2216%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2265.5%22%20y%3D%2216%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2218.5%22%20y%3D%2242%22%3E10%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2242%22%3E%25%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2252.5%22%20y%3D%2242%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2265.5%22%20y%3D%2242%22%3E0%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2272.5%22%20y%3D%2242%22%3E.%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2279.5%22%20y%3D%2242%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2222.5%22%20y%3D%2268%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2268%22%3E%25%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2252.5%22%20y%3D%2268%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2265.5%22%20y%3D%2268%22%3E0%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2272.5%22%20y%3D%2268%22%3E.%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2284.5%22%20y%3D%2268%22%3E01%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%228.5%22%20y%3D%2294%22%3E0%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2215.5%22%20y%3D%2294%22%3E.%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2222.5%22%20y%3D%2294%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2294%22%3E%25%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2252.5%22%20y%3D%2294%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Times%20New%20Roman%22%20font-size%3D%2218%22%20text-anchor%3D%22middle%22%20x%3D%2265.5%22%20y%3D%2294%22%3E0%3C%2Ftext%3E%3Ctext%20font-family%3D%22math11824c643d1feb4da18b28ed527%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2272.5%22%20y%3D%2294%22%3E.%3C%2Ftext%3E%3