TIB Learning

Is PEMDAS the correct way to teach order of operations?  A lot of people will learn the way to solve order of operations problems as PEMDAS, but is that the correct way to teach it? When solving this equation with PEMDAS, a lot of people will think that you should do multiplication first, because that is the way it is in PEMDAS ( Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction ) . However, we know its wrong, and that you have to do which ever one comes first i.e. multiplication or division, addition or subtraction. So, what would be the correct way to teach order of operations? GEMS: The correct way to teach order of operations. The correct way to teach order of operations would be GEMS . The G stands for grouping, which includes parentheses as well as absolute value signs and other forms of grouping. The E stands for exponents. The M stands for multiplication and division, and so whichever one comes first. The S stands for subtracti...

 The Correct Way to Teach Multiplying by 10 How do you teach multiplying with 10?  As you may have guessed, when multiplying by 10, the best way to teach is to "just add a zero". So, if I do 7 x 10, I will get  70. Similarly, 23 x 10, gives 230 BUT,  does this trick also work when you multiply a decimal number with 10?  Let's give it a try, try multiplying 5.4 by 10. You will get 5.40, which is not the correct answer!  So, why not learn the right way to multiply by 10.  Let's try this. Instead of adding a zero, we will move each digit one place value to the left, then put a 0 in the spot with no value as a placeholder. 1 would become 10, 5 would become 50, 73 would become 730, 4.5 would become 43, etc.  Now let's try to multiply with this new strategy: 7 x 10 would get us 70, which is correct. 23 x 10 would get us 230, which is correct.  And 5.4 x 10 would get us 54, which is correct! So, if you were taught to "just add a zero" when you multi...

Here we are trying to write a code to write a given number backwards. For example, if the input number is 123 then the code will print the digits in reverse order ie 321 Flowchart To Reverse the Digits of an Integer Python Source Code To Reverse the Digits of an Integer The Output

 The fibonacci sequence is a sequence where the next number is the sum of the previous number and the current number. The first 5 numbers in it are 1, 1, 2, 3, and 5. Flowchart To Find N'th Number in the Fibonacci Sequence Python Source Code To Find N'th Number in the Fibonacci Sequence The Output

A sequence of numbers is called an Arithmetic series when the difference between any two consecutive numbers in the series is always the same. For example, 1,4,7,10,13,16 .... is an arithmetic sequence with the starting number as 1 and the difference between. each term is 3.  A Flowchart to Calculate the Sum of an Arithmetic Series Python Source Code to Calculate the Sum of an Arithmetic Series Output For the Sequence 1+2+3+4...+99+100 Output For the Sequence 2+7+12+17+22 Mathematical formula  Using the above method to find the sum of an arithmetic series can be a time consuming task, if the number of terms is large. For example, given the arithmetic sequence whose first few terms are :                                                  2,5,8,11,14,17,....... If we need to calculate the sum of its first 100 terms, we can do that by addi...

 What are consecutive number  A sequence of numbers is a sequence of numbers where there is the same difference between each term. Flowchart Python Source Code for Sum of Consecutive Numbers Mathematical Formula to Derive Sum of Consecutive Numbers Firstly, let the whole sum be 'S' Next, Rewrite S in reverse order Now, Add the two equations, term by term Each term is the same , and there are 100 of them.  Therefore we can simplify it to:  So, we can derive the formula for the sum of numbers from 1 to any number as Python Source Code for Mathematical Formula to Derive Sum of Consecutive Numbers