# Posts Tagged ‘Division And Squaring’

# Problems Based On Subtraction, Division And Squaring

### Thursday, November 5th, 2009

**TYPE 1: Instant Subtraction**

Use the formula ALL FROM 9 AND THE LAST FROM 10 to perform instant subtractions.

**Example 1**: 1000 – 357 = 643** **

Step 1: Take each figure in 357 and subtract it from 9 and the last figure from 10.

1 0 0 0 – 3 5 7 = 6 4 3

( 9 – 3 = 6

9 – 4 = 5

10 – 7 = 3 )

So the answer is 1000 – 357 = 643

**Example 2**: 10,000 – 1049 = 8951

Step 1: Take each figure in 1049 and subtract it from 9 and the last figure from 10.

1 0 0 0 0 – 1 0 4 9 = 6 4 3

( 9 – 1 = 8

9 – 0 = 9

9 – 4 = 5

10 – 9 = 1 )

So the answer is 1000 – 357 = 643

**TYPE 2: SQUARING NUMBERS ENDING WITH 5 **

**Example 1: 75 ^{2 }= 5625 **

75 = 75 X 75

**Step1: **Multiply the first number 7, by the next preceding number, which is 8.

Thus, we have 7 X 8 = 56, which is the first part of the answer.

**Step 2**: The last part will be the square of 5, which is 25

Thus the answer for 75^{2 }is divided into 2 parts: 56 and 25 which when combined together gives 5625.

**Type 3: DIVIDING A NUMBER BY 9**

**Example 1: 23 / 9**

**Step 1: **The first figure of 23 is 2, thus the quotient is 2.

**Step 2: **The sum of the 2 digits 2 and 3 is 5, thus the remainder is 5.

**Example 2: 43 / 9**

**Step 1: **The first figure of 43 is 4, thus the quotient is 4.

**Step 2: **The sum of the 2 digits 4 and 3 is 7, thus the remainder is 7.

Tags: Division And Squaring, Problems Based On Subtraction, Vedic Maths

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