Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

#### Keep Connect with Us

• =

• Welcome in Math School.
• This is beta verion of our website.
##### Which step is wrong ...?

___________________________________________

Step 3 is wrong
##### Explanation
Step 1:   1 = X/X
Multiply and divided by X.

Here Sign '/' use for horizontal fraction bar. By reverse we can again get 1, by X/X = 1. Therefore this step is true.

Step 2:     = X/1X
Here 1 is coefficient of x denominator.

There is always an invisible 1 as a ceefficient of a variable.
we can write X/X = X/1X = 1X/X = 1X/1X = 1. By reverse solution the answer will be still 1. This step is also true.

Step 3:     = X/1×X
Because 1X = 1×X

This step is creating problem because 1X is bellow the horizontal bar is a group (product) of variable and coefficients.
All factors of a product are the coefficients of the remaining factors. e.g.; 5abc = 5bac = a5bc = abc5 etc
Similarly in ab/cd, ab is nominator and cd is denominator. If we convert ab=a*b and cd=c*d we get a*b/c*d and when further solve we get abd/c. which is wrong.

Therefore step 3 is wrong.
Step 4:     1 = X^2

After applying these step people says that math is wrong. But they not understad their own mistakes. Please look at following image which is taken from a books written by Bartle and Sherbert.

###### Introduction to Real Analysis by Bartle and Sherbert
Page  42: written as
(x²-2)/2x
Page  53: written as
1/2n = 1/(2n)
Page 350:  written as
e/2M
Page 363:  written as
1/n(n+1) < 1/n² <= 1/n and
n/(n-2)(n-1)

###### https://www.scribd.com/doc/274935272/bartle-sherbert-real-analysis-solution-manual-pdf

___________________________________________

##### BODMAS Short Questions

###### What is BODMAS?

______________________

###### What is order of operation?

______________________

###### Who invented BODMAS?

______________________

###### Solve 3 - 3 × 2 ÷ 6 = ?

______________________

##### BODMAS Questions

###### What is square root of 25?

______________________

###### Solve 10 ÷ 4 of 5 =...?

______________________

###### Solve 2 / 2 - 2 + 2 × 2 =...?

______________________

###### Solve 10-4×0+3÷3 =..?

______________________

###### Solve 7+7÷7+7×7-7 =...?

______________________

###### Solve 3 + 5% =...?

______________________

###### Solve 2e × 100% =...?

______________________

###### If √(0.04)(0.4)a = (0.4)(0.04)√b then a/b ... ?

______________________

###### Solve 5 × (1/5) ÷ (1/5) ÷ (1/5) × 5 =...?

______________________

###### 3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7

______________________

###### Solve 4 - 2 ÷ (1/2) + 3 =...?

______________________

###### Solve 2 - 2 × 2 - 2 ÷ 2 =...?

______________________

###### Solve 3 - 3 × 3 - 3 ÷ 3 =...?

______________________

###### Solve 4 + 4 × 4 - 4 ÷ 4 =...?

______________________

###### Solve -1 + 2 × 0! =...?

______________________

###### Solve -2 + 3! - 1 =...?

______________________

###### Which step is wrong?

______________________

##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick
• Divisible by 7 Shortcut trick
• Divisible by 8 Shortcut trick
• Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick