931 /www/nrich/html/content/99/02/penta3/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <comment> prob.html </comment> <p>What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like. You can only use each digit once.<br></br> For example: 34 x 2 = 68 or 3 + 4 ² = 19</p> <p>(We will publish the ten highest numbers sent in, as long as you show how got the answer)</p> <p><comment> /prob.html == </comment></p> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <comment> soln.html </comment> <p class="editorial">Here are the largest solutions that were sent in.</p> <p class="editorial">Matthew from South Farnham School:</p> <br></br> 4096, by doing 4 to the power 3 to the power 2, which is (4 x 4 x 4) x (4 x 4 x 4) = 64 x 64 = 4096.<br></br> <br></br> <p class="editorial">Josh from Alameda School:</p> <br></br> 1 048 576, which is 32 to the power of 4 (32 x 32 x 32 x 32).<br></br> <br></br> <p><span class="editorial">Greenford School, Dorset sent in</span> 8 796 093 022 208, which is 2 to the power of 43.</p> <p><span class="editorial">Charlotte, Agnes, Susannah and Miranda from Headington Junior School offered</span> 109 418 000 000 000 000 000, which is about 3 to the power 42.</p> <p><span class="editorial">In fact the exact value of 3⁴² is 109 418 989 131 512 359 209 can you say it aloud easily?</span></p> <br></br></mdoxml> 2 3 0 0 1 0 0 What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once. Calculations and Numerical Methods Addition & subtraction Numbers and the Number System Powers & roots Calculations and Numerical Methods Multiplication & division Numbers and the Number System Comparing and Ordering numbers