Decimal Rounding vs Dear Aunt Sally

Decimal Rounding helps students learn and practice rounding decimal numbers step by step. Students can solve randomly generated problems or enter their own decimal numbers. Decimals can be rounded to the nearest whole number, tenth, hundredth, or thousandth. They can also be rounded to 0, 1, 2, or 3 decimal places. The app guides students through each problem one step at a time. There are no penalties for wrong answers, no timers, and no pressure. The clean interface helps create a calm learning environment. Features: - Decimal numbers can have 2–8 digits - Randomly generated or manually entered problems - Round to the nearest whole number, tenth, hundredth, or thousandth - Round to 0, 1, 2, or 3 decimal places - Customizable interface colors - Adjustable animation speed - Different interfaces for iPhone and iPad - Portrait and landscape orientation on iPad Other iDevBooks Math Apps: Other iDevBooks math apps include Column Subtraction, Column Addition, Long Division, Long Multiplication, Lattice Multiplication, Visual Multiplication Table, Fraction Math, Partial Differences Subtraction, Partial Quotients Division, Partial Sums Addition, and more. Feedback: New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback. Privacy: This app has no ads, no in-app purchases, and does not transmit user data during operation. The app also does not contain links to other apps or to the web.

PEMDAS is an acronym that is taught in school classrooms across the nation. It helps students remember the priority, or Order of Operations, used to solve expressions involving strings of numbers and operators. It stands for: P(arenthesis) E(xponent) M(ultiplication) D(ivision) A(ddition) S(ubtraction) A familiar mnemonic widely used in place of PEMDAS is: Please Excuse My Dear Aunt Sally. Thus the name of this application... Kind of an inside joke for the mathematical types. Computers, including smart phone calculators, desktops, etc. have built in functionality to properly interpret such expressions so we don't have to. But have you ever wondered what algorithms the CPU executes to get the right answer every time? This app demonstrates one such algorithm called the Shunt Yard, developed a few years back by Professor Edsger W. Dijkstra. We’re going to take a closer look under the hood at Order of Operations algorithms. It will interest programmers and school students alike; for programmers, the use of queues and stacks will reinforce previous computer science learning; for students, it allows them to write an expression, then analyze it using Order of Operations rules, step by step. The Quiz mode generates random expressions of user selected lengths and magnitudes and checks the student's answer. Incorrect answers can be examined using the same step by step process. In the SOLVE mode, algebraic expressions are entered free hand using an internal keyboard which limits entries to the five common mathematical operators (+ - / * ^) as well as one level of parenthesis. There is a maximum term limit of ten variables, but no limit to their magnitude in this mode. In the QUIZ mode, between two and ten variables can be selected, their maximum value and which operators that are eligible. The program then randomly generates an algebraic expression using these parameters. Both modes make available an analysis page which is used to step through the solution. Stack/Queue dynamics are displayed.