Decimal Homework Sheet: Fill & Download for Free

You are correct. In this equation:[math]x = \sqrt[2.1]{2}[/math]we do end up with a value x that, when multiplied by itself 2.1 times, is equal to 2. Here is that calculation on my TI-84+ CE:How do we calculate a number like: [math]\sqrt[2.1]{2}[/math] without decimal roots?First, let’s turn the root into a fraction with integers in the numerator and the denominator.[math]2.1 = \frac{21}{10}[/math]Change the problem from decimal root to fraction root[math]\sqrt[2.1]{2} = \sqrt[\frac{21}{10}]{2}[/math]When we change this to 2ⁿ form, we must remember the reciprocal:[math]2^{\frac{1}{2.1}} = 2^{^{\frac{10}{21}}}[/math]How do we further simplify this equation? Let’s look at the exponents section of an excellent math cheat sheet that you can download at www.eeweb.com/tools/math-help:I could rewrite the above as:[math]2^{^{\frac{10}{21}}} = \left(2^{^{\frac{1}{21}}}\right)^{10}\text{ or }\left(2^{10}\right)^{^{\frac{1}{21}}}[/math]Or we could write it as [math]\sqrt[21]{2^{10}} = \sqrt[21]{1024}[/math].Regarding the math reference sheets at www.eeweb.com/tools/math-help:eeweb.com has six excellent cheat sheets:one each for Algebra and Geometrytwo each for Trigonometry and CalculusWhat I did when I took Advanced Math again, fifty years after taking it the first time,I downloaded these sheets,had them printed on three different pastel color sheetshad them laminated, thenkept them handy when I was working on my homework. (In a few cases, the professor allowed me to use these reference sheets during quizzes and tests instead of the sheets that he gave us on the first day of class).

The TI-84 will do everything you need, yes. So you can use it for doing your homework, or for normal classroom activities, or the like. The reason the teacher said “graphers don’t count” is probably that she’s banning the use of graphing calculators on tests, as their programming functions can be used to smuggle in cheat sheets. So I’m afraid you will have to buy a non-graphing scientific calculator, even if you don’t use it much.That normal/sci/eng is a number display option. Normal mode means that numbers are displayed in normal decimal notation, unless they’re too big to fit. Sci means that numbers are always displayed in scientific notation, even if they could fit on the display as regular decimals. Eng means engineering notation, which is a variant of scientific notation where the exponent is always a multiple of 3 (and thus equivalent to a metric prefix).

The SI does not allow compound units like 3 m 24 cm; it is either 3.24 m or it’s 324 cm. Similarly 172 cm or 1.72 m. The given form reflects the ignorance of whoever wrote the homework question.An upper bound comes from total area 3.24 m x 1.72 m/(0.18 m x 0.12 m), or 258. Can’t be greater and that assumes no waste.Now we have to determine the best orientation to minimize waste. 3.24 m is exactly divisible by both 0.12 m (27) and 0.18 m (18). 1.72 m divided by 0.18 m is 9.56, by 0.12 m, 14.33.The decimal fractions are waste, by changing orientation, we can have 27 x 9 = 243, or 18 x 14 = 253, and some waste. You decide.