PEMDAS and Order of Operations Series

PEMDAS is an acronym used for order of operations. P stands for parenthesis (or generally grouping), E stands for Exponent, and MDAS stands for multiplication, division, addition, and subtraction. This series is composed of three posts illustrating various examples on how to calculate using the order of operations. These posts are composed of videos that are about 10 minutes more or less. All the videos are in mixed Tagalog and English.

PEMDAS and Order of Operations Part 1

This post discusses how to perform basic calculations with 2 or 3 operations without parenthesis. The operations include addition, subtraction, multiplication and division.

PEMDAS and Order of Operations Part 2

This post discusses basic order of operations addition, subtraction, multiplication and division. The use of exponents and parentheses are also discussed. Additional explanation is provided for common misconceptions.

PEMDAS and Order of Operations Part 3

This post discusses more complicated calculations particularly those with nested parenthesis.

It is important that you master the order of operations because it will be used in all mathematics subjects in high school and beyond.

What is the Sieve of Eratosthenes?

Did you know that you can systematically find the prime numbers from 1 to any number? In this video, I have discussed how to systematically find prime numbers from 1 to 100. This method is called the Sieve of Eratosthenes and can be extended to any number.

If you cannot see this video on your mobile phone, you can watch it on Youtube.

Paano mag-subtract ng integers?

“Paano mag-subtract ng integers?” is a Taglish Math video that explains how to subtract signed numbers, particularly integers. The strategy used is converting the subtraction problem into addition. This way, you only need to master addition.

If you can’t see this video on your mobile phone, you can watch it on Youtube.

Paano mag-divide ng integers?

This video in Taglish (mixed Tagalog and English) explains the rules in dividing integers or signed numbers. The rules in division is the same as in multiplication. Watch the video above why this is so.

If you can’t see this video in your mobile phone, you can watch it on Youtube.

Paano mag-multiply ng integers?

This Taglish (mixed Tagalog and English) math vide tutorial explains how to multiply integers. We know that the rules in multiplying integers is that when we multiply integers with the same sign, then the answer is positive. When we multiply integers with different signs, the answer is negative. These rules do not only apply to integers but to real numbers as well. And the rules in multiplying integers is also the same in dividing integers.

If you can’t see this video on you mobile phone, you can watch it on Youtube.

Paano mag-add ng integers?

This video in Taglish (mixed Tagalog and English) discusses addition of integers.  The video explains how to add integers that are both positive, both negative, and a positive and a negative integer. A number line is also drawn in order to explain further the how and why the addition operation works.

In case you can’t see this video on your mobile phone, you can watch it on Youtube.

Ang Integers at Number Line

This video introduces the concepts about integers. Integers are numbers that do not have fractional components. It includes positive integers, negative integers, and zero.

A number line is also in the discussion in the video in order to explain how to compare the value of integers. An integer a > b if a is at the right of b on the number line. As we go to the right hand side of the number line, the value of the integers become larger. As we go to the left hand side, the value of the numbers become smaller.

Paano mag-divide ng decimals?

“Paano mag-divide ng decimals?” is a Taglish (mixed Tagalog and English) video math tutorial on how to divide decimals. In dividing decimals, it is usually easier if the decimal numbers are ‘eliminated’. To ‘eliminate’ the decimal numbers, the division may be written as a fraction. This way, the numerator and the numerator can be multiplied by powers of 10. If the decimals are eliminated, division may easily be performed.

Paano mag-subtract ng decimals?

“Paano mag-subtract ng decimals?” is a Taglish math tutorial video on how to subtract decimals. Subtracting decimals is just the same as adding decimals. All you have to do is align the decimals of the minuend and the subtrahend and then perform the fraction. The decimal point in the answer must also be aligned with the decimal points of the minuend and subtrahend.

Taglish means mixed Tagalog and English.

Paano ba mag-multiply ng decimals?

This video math tutorial in Taglish (mixed Tagalog and English) discusses about multiplication of decimals. The rules in multiplication of decimals is to (1) Ignore the decimals — just multiply ; (2)  From all the given, count the number of decimals (numbers  to the right hand of the decimal point), the answer must have the same number of digits as the total number of decimal numbers in the given.

If the answer has less decimals than the given, add zero on the left hand side.

 

Paano mag-add ng decimals?

“Paano mag-add ng decimals?” tagalog math video tutorial is about adding decimals. When you add decimals, the rule is to place the addends vertically in such a way that the decimal points are aligned. After this, you can perform addition as you do in whole numbers. Lastly, after adding copy the decimal point directly below the decimal point of the addends. The decimal point in the sum must also be aligned with those of the addends.

 

Paano Mag-subtract ng Fraction Part 2

This video tutorial in mixed Tagalog and English is the continuation of Paano mag-subtract ng fraction? This video focuses on the techniques used for subtraction whose one given is a whole number and the other given is a fraction. Both the long way and the short-cuts were discussed.

Paano mag-subtract ng fractions?

This video tutorial discusses subtraction of fractions.  The examples discussed in this video include similar fractions, dissimilar fractions, and mixed fractions.

Subtracting fractions is very similar to adding fractions. For similar fractions, the numerator are subtracted and the numerator copied in the answer. For dissimilar fractions, least common multiple is needed in order to perform the operation.

Paano mag-divide ng fractions?

This video is a tutorial in mixed Tagalog and English on how to divide fractions. The idea in dividing fractions is to get the reciprocal of the divisor. This is because dividing a by b for b not equal to zero is the same as multiplying a by the reciprocal of b. That is,

\frac{a}{b} is the same as a(\frac{1}{b}).

Now the reciprocal of the fraction \frac{p}{q}$ is

\displaystyle \frac{1}{\frac{p}{q}} = \frac{q}{p}

That is the reason why we exchange the numerator and denominator of the fraction.

Paano mag-multiply ng fractions?

This video is a tutorial on how to multiply fractions in mixed Tagalog and English. In multiplying fractions, you just remember the following rules and strategies:

  1. Multiply the numerator and the denominator.
  2. If the fractions are not in lowest terms, reduce them first, before performing multiplication. This will make the numbers smaller.
  3. Mixed fractions must be converted first to improper fractions before they can be multiplied.
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