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Mathematical shortcut – ways to make calculations a little easier.



MATHEMATICAL SHORTCUTS

Maths may not be your thing but it is hard to avoid in
everyday life, however, help is at hand as there are many shortcuts around
that can help make calculations a little easier.  Here are just a few
……..

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TIPS

To calculate the total of a bill including tax add 1 before multiplying.

Example 1       
Price 150.95 plus tax of 0.065

                        
Multiply 150.95 x
1.065 = 160.76

This also works in reverse –

                       
160.76 divided by
1.065 = 150.95

Example 2       
Price 150.95 plus 17.5% tax

                        
Multiply 150.95 x
117.5% =
177.37

In reverse –

                       
177.37 divided by 117.5% = 150.95

Thanks to KB for this one.

What this is actually doing is acknowledging the original figure
is 100% and then adding on the additional percentage or (in this case) tax figure, giving
a combined total as an answer.


Anything ending in an “even” number is divisible by 2.

Anything divisible by 9 is also divisible by 3.

Thanks to KB for these.

A quick way to do calculations is to drop the noughts at the ends
of the numbers then replace them for your final answer.

Example   –  To add 120 + 90      add
 
12 + 9 = 21   
then add back the 0  = 
210


If you have to multiply a large number by 25, add two noughts to
the number then divide by 4.  This is much easier to do, especially mentally.

Example:  167 x
25
         167
00        Divide by 4   =
    4175


When faced with a little poser like 27.5% of 50 for example, I
find it easier to call it 50% or 27.5.  It is easier to mentally divide 27.5 by 2.
  It works every time.

Thanks for these Harvey Alexander


When multiplying numbers ending in 5 by themselves e.g. 75 x 75
 

Deal with the left hand numbers first

In this example the left-hand number is 7

Add 1 to this number i.e. 7 + 1 = 8

Multiply the original number 7
x the new number 8 = 56

Now deal with the right-hand numbers which are always 5 x 5 = 25

Therefore the answer is 5625

Here is another example

35 x 35

3 + 1 = 4

4 x 3 = 12

5 x 5 = 25

Answer 1225

Thanks to Allan Brown for this contribution


To make complex sums easier to handle, break down into simpler elements.

Example6 x 348  

first multiply 6 x 300 = 1800
then          
6 x   40 =   240
then          
6 x     8 =     48
Then add up all the elements:-             
  2088


A quick way to convert kilometres to miles is to drop the last digit and multiply by 6.

Example72 kilometres = 7 x 6 = 42 miles
(approximately)


 

10²   means 10 x 10 (known as 10 squared)
=    100
10³   means 10 x 10 x 10 (known as 10 cubed)
=  1,000

10 (with a little 4 – I
couldn’t find the symbol) means 10 x 10 x 10 x 10   

(I think is known as 10 to the power of 4)
10 to the 4th power  –  Thanks Brenda

= 10,000
10 (with a little 10) means
10x10x10x10x10x10x10x10x10x10
= 10,000,000,000
(1 followed by 10 noughts)

For more mathematical shortcuts click here.