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

___________________________________________

```    125
```
##### Explanation

The above question is about BODMAS or PEMDAS. Before solve this question you have understand about BODMAS and PEMDAS. Also study about what is difference between BODMAS, BEDMAS, BIDMAS, PEDMAS and PEMDAS?

```     1     1     1
5 × --- ÷ --- ÷ --- × 5
5     5     5
```

The above question is about the multiplication and division. According to PEDMAS solve mulitiplication and divsion from left to right.

```       1     1
= 1 ÷ --- ÷ --- × 5
5     5

1
= 5 ÷ --- × 5
5

5
= 5 × --- × 5
1

= 125
```
```SECOND METHOD (by Math Trick)
```
```Now take a look again in above question.

1     1     1
5 × --- ÷ --- ÷ --- × 5
5     5     5
```

Notice that there are three fraction values (i.e. 1/5) and two divide (÷) sign. In other word here we have to solve the division of fractions.
There is a MATH SHORTCUT TRICK for division of fraction. That is ... "For divide one fraction by another, multiply the first fraction by the reciprocal of the second".

```i.e.
--- ÷ --- = --- × --- = ----
b     d     b     c     bc
```

Now apply this rule in above question. i.e. change the divide sign(÷) into multiplication sign(×) and take the reciprocal of 1/5 only where we have change the sign(÷) into multiplication sign (×).

```       1     5     5
= 5 × --- × --- × --- × 5
5     1     1
625
= ---
5

= 125
```
```THIRD METHOD (by Math Trick)
```
```     1     1     1
5 × --- ÷ --- ÷ --- × 5
5     5     5

Arrange the multiplied value and division value as

1         1     1
= 5 × --- × 5 ÷ --- ÷ ---
5         5     5

simplify multiplied value and division values
25       1
= ----  ÷ ----
5      25

25      25
= ----  × ----
5      1

625
= ---
5

= 125
```

___________________________________________

##### 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