Tag: Division

Shortcuts for Division

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Dividing 2-digit Number by 9 Division Speed Math

[Speed Math] DIVIDING 2-DIGIT NUMBER BY 9

Here’s an example of a SPEED MATH shortcut for DIVIDING 2-DIGIT NUMBER BY 9: (Div) Nd9(2d) from the DIVISION category.

Dividing 2-digit Number by 9

When can I use this method?

For dividing any 2-digit number by 9.

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pdf Download Practice sheet for DIVIDING 2-DIGIT NUMBER BY 9

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Notes –

  1. When the sum of the 2 digits is ≥ 9, further divide the sum using this method until you get the sum < 9. Add each Quotient you get along the way to get the final Quotient.
  2. If the sum of the 2 digits is = 9, add 1 to the Quotient and the Remainder becomes 0.


Related Shortcuts –

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Categories
Dividing by 9 Division Speed Math

[Speed Math] DIVIDING BY 9

Here’s an example of a SPEED MATH shortcut for DIVIDING BY 9: (Div) Nd9 from the DIVISION category.

Dividing by 9

When can I use this method?

For dividing any number by 9.

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pdf Download Practice sheet for DIVIDING BY 9

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Notes –

  1. Notice the way the computed numbers are added.
  2. Use the shortcut N÷9(2d) to get the Balance Quotient and Final Remainder.


Related Shortcuts –

Dividing by 11: (Div) Nd11


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Categories
Dividing Numbers using Multiplication Speed Math

[Speed Math] DIVIDING NUMBERS USING MULTIPLICATION

Here’s an example of a SPEED MATH shortcut for DIVIDING NUMBERS USING MULTIPLICATION: (Div) NdM(Mu) from the DIVISION category.

Dividing Numbers using Multiplication

When can I use this method?

For dividing any number by any other number provided the numbers can be simplified to ‘easy’ numbers for division by multiplying a common number.

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pdf Download Practice sheet for DIVIDING NUMBERS USING MULTIPLICATION

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Notes –

  1. Remember to use a common (same) multiplying number on both the terms.
  2. Try using the Aliquots of numbers to quickly find the common multiplying factor.


Related Shortcuts –

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Categories
Dividing Numbers using Factoring Division Speed Math

[Speed Math] DIVIDING NUMBERS USING FACTORING

Here’s an example of a SPEED MATH shortcut for DIVIDING NUMBERS USING FACTORING: (Div) NdM(Ft) from the DIVISION category.

Dividing Numbers using Factoring

When can I use this method?

For dividing any number by any other number provided either one or both the numbers can be factorized to its prime factors. Also, there should be common factors amongst them that can be eliminated.

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pdf Download Practice sheet for DIVIDING NUMBERS USING FACTORING

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Notes –

  1. When factorizing numbers, always start with the lowest prime factor.
  2. Try using the Test of Divisibility to quickly find factors.


Related Shortcuts –

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Categories
Dividing by 5 Division Speed Math

[Speed Math] DIVIDING BY 5

Here’s an example of a SPEED MATH shortcut for DIVIDING BY 5: (Div) Nd5 from the DIVISION category.

Dividing by 5

When can I use this method?

For dividing any number by 5.

 

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Notes –

1. Make sure to insert the decimal correctly in the answer.

Related Shortcuts –

Dividing by 25: (Div) Nd25


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Categories
Dividing by 25 Division Speed Math

[Speed Math] DIVIDING BY 25

Here’s an example of a SPEED MATH shortcut for DIVIDING BY 25: (Div) Nd25 from the DIVISION category.

Dividing by 25

When can I use this method?

For dividing any number by 25.

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pdf Download Practice sheet for DIVIDING BY 25

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Notes –

1. Make sure to insert the decimal correctly in the answer.

Related Shortcuts –

Dividing by 5: (Div) Nd5


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Categories
Dividing by 11 Division Speed Math

[Speed Math] DIVIDING BY 11

Here’s an example of a SPEED MATH shortcut for DIVIDING BY 11: (Div) Nd11 from the DIVISION category.

Dividing by 11

When can I use this method?

For dividing any number by 11.

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pdf Download Practice sheet for DIVIDING BY 11

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Notes –

  1. Notice the way the negative digits are treated. Take the digit on the left of the negative digit. Its place value is 10 times that of the negative digit. So, subtract the negative digit from 10 times the neighboring digit to get positive digits.
  2. If the Remainder is negative, it means that we have over divided the number, so reduce 1 from the Quotient and add 11 to the negative Remainder to get the Final Remainder.


Related Shortcuts –

Dividing by 9: (Div) Nd9

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Categories
Math Refresh More Math

[Math Refresh] THE ULTIMATE COLLECTION OF EVERY KNOWN TESTS OF DIVISIBILITY

As a part of any math exam like GMAT, GRE or CAT, if you are trying to find out whether that number is evenly divisible without actually dividing it, then use these tests of divisibility. Learn these tests and save yourself precious time.

Continue reading “[Math Refresh] THE ULTIMATE COLLECTION OF EVERY KNOWN TESTS OF DIVISIBILITY”