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## How to solve simultaneous equations by Elimination

These videos show how we can solve simultaneous equations through elimination - a faster and better way to solve equations! Example 1: Example 2:

## How to Start Research for a Term Paper

> Term paper is a research paper written by college and university students as part of completion of their academic term or year. Generally, term papers cover about incidents or events, a concept, an argument or a point. This paper must be written original, though the topic could be an old one. So, the importance of term paper cannot be undermined or trivialized because it is just part of one’s academic term. In fact, it is one of the most difficult [...]

## How to Write a Thesis/Dissertation Proposal

Thesis Dissertation Writing Proposal Tips 1. Know the area Read, read, read, … Average 10-15 papers per week Current Journals: at least read/scan abstracts Use reference management software! (e.g. ProCite and EndNote) Use search engines (MedLine, Ergo Abstracts, Psych Info, Compendex, ACM Digital Library, etc.) Go to the source literature (don’t expect textbooks and other secondary sources to be either accurate or complete) 2. Go outside your area Good source of new/different ideas Avoids embarrassing overlap (already done by others in another field) 3. [...]

## Shortcuts for Divisibility by 10,11, 12 and 15

Divisibility by 10: How to check a number is divisible by 10? It is very simple, check for the units digit of the number, if it is 0, then the number is clearly divisible by 10. Examples: Is the number 1234567890 divisible by 10? Check for the unit digit, it is 0, 5 + 7 + 2 + 2 + 5 + 8 + 3 + 4 = 36 So 1234567890 is divisible by 10. Is the number 1236985 divisible by 10? The unit digit is not zero, [...]

## Shortcuts for Divisibility by 5, 6 , 8 and 9

Shortcuts for Divisibility by 5, 6 , 8 and 9 Few shortcuts to help you work smartly and save time Divisibility by 5: How to check a number is divisible by 5? It is very simple, check for units digit, if it is either 5 or 0, then clearly the number is divisible by 5. Examples: Is the number 13356890 divisible by 5? Check the units digit in the given number unit digit is 0, so 13356890 is divisible by 5. Is the number 56722368553 divisible by 5? The [...]

## Shortcuts for Divisibility by 2,3 and 4

Here are a set of time saving divisibility shortcuts that you can use: Divisibility by 2: How to check a number is divisible by 2? It is very simple, first we should check the units digit of the number, whether it is divisible by 2. A number is divisible by 2, only when its unit digit contains 0, 2, 4, 6, 8. Examples: Is the number 6542646882 divisible by 2? Now, check the units digit of the number, it is 2, so 6542646882 is [...]

## Multiplying by 25 and 125

To multiply by 25 you multiply by 100 (just add two 0’s to the end of the number) then divide by 4, since 100 = 25×4. Note: to divide by 4 your can just divide by 2 twice, since 2×2 = 4. 64×25 = 6400/4 = 3200/2 = 1600. 58×25 = 5800/4 = 2900/2 = 1450. To multiply by 125, you multiply by 1000 then divide by 8 since 8×125 = 1000. Notice that 8 = 2×2x2. So, to divide by 1000 [...]

## Multiplying by 9, or 99, or 999

·       Multiplying by 9 is really multiplying by 10-1.         So, 9×9 is just 9x (10-1) which is 9×10-9 which is 90-9 or 81. ·      Let’s try a harder example: 46×9 = 46×10-46 = 460-46 = 414. ·      One more example: 68×9 = 680-68 = 612.        To multiply by 99, you multiply by 100-1.         So, 46×99 = 46x (100-1) = 4600-46 = 4554.         Multiplying by 999 [...]

## The 11 Rule

To multiply any two digit number by 11:  For this example we will use 34.         ·      S  Separate the two digits in you mind (3__4).         ·    Notice the hole between them!         ·      Add the 6 and the 4 together (3+4=7)         ·       Put the resulting 7 in the hole 374. That's it! 11 x 34=374 The only thing [...]

## Maths shortcut

Here’s a collection of time-saving math shortcuts, great for back-of-the-envelope estimates Shortcut to multiplication Square Number Tips 1: 2 Digit Number which ends in 5 Step1: Multiply the first digit of number, with the next to its number. Ex: 45 is the number you want to square. 4 x 5 = 20 Step2: Finally add 25 at the end of the result. Answer=2025 Tips 2: Any 2 Digit Number Ex: 47 Step1: Look for the nearest 10 boundary. 3 from 47 to 50 Step2: Since we went up [...]