Create a tic tac toe table and list out the numbers 1 to 9 from the top right corner.
To multiply two 2-digit numbers without showing work, first multiply the ones digits together, then 'cross-multiply,' and finally multiply the tens digits together.
Make sure to carry whenever a product exceeds 9. As you will see in the examples below, you must work your way from right to left to perform this trick.
Example 1: 12 x 23
Example 2: 31 x 24
This trick will also work on numbers with zeroes and decimal points. Also as you are cross-multiplying, it is generally easier to begin with the larger product and then add the smaller product.
A percentage is a way of expressing a number as a fraction of 100 (per cent meaning “per hundred” in Latin). It is often denoted using the percent sign, “%”, or the abbreviation “pct”. For example, 45% (read as “forty-five percent”) is equal to 45/100, or 0.45.
Percentages are used to express how large/small one quantity is, relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero. For example, an increase of $ 0.15 on a price of $ 2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase.
Example: Let's consider the number 50.
Example 1: 105 x 105
This works for all numbers up to 150 but is more useful if the number is close to 100.
It also works for numbers smaller then 100 but in that case you simply have to subtract the difference to 100 from your number.
Example 2: 96 x 96
The following video is giving you some more examples and also shows what happens for larger distances.
Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides.
Sinus? Cosinus? Tangent? These may be the only 3 words you remember from your trigonometry class. I remember a fourth one called SOH CAH TOA from my favorite high school math teacher.
Trigonometry is an important topic in secondary school mathematics. Without a solid foundation in the subject, one cannot excel in differential and integral calculus which are pre-requisite math courses in many university programs.
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