07 division by doubling method

In summary, the 07 division by doubling method is a mental math technique that involves doubling a number and subtracting it from the original number until the result is less than 7, with the number of times doubled being the quotient and the remaining value being the remainder. It utilizes properties of multiplication and subtraction and has advantages such as being quick and developing mental math skills. It can also be modified for other single-digit numbers, but may not be as accurate or efficient for larger numbers.
  • #1
karush
Gold Member
MHB
3,269
5
use doubling method
$\dfrac{972}{69}$
$1 \to \boxed{69}+\boxed{a}=\boxed{?}$
$2 \to \boxed{138}+\boxed{b}=\boxed{?}$

is a 100 then what is b?
 
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  • #2
Where did you get "a= 100"? The title says "doubling". I would say 69+ 69= 138, then 138+ 138= 276.
 

FAQ: 07 division by doubling method

What is the "07 division by doubling method"?

The "07 division by doubling method" is a mathematical algorithm used to quickly divide a number by 7. It involves doubling the original number, subtracting the original number, and then repeating this process until the result is a single digit number.

How does the "07 division by doubling method" work?

To use the "07 division by doubling method", you start by doubling the original number. Then, you subtract the original number from this doubled number. If the result is still a two-digit number, you repeat this process until the result is a single digit number. This single digit number is the answer to the division problem.

Why is the "07 division by doubling method" useful?

The "07 division by doubling method" is useful because it is a quick and efficient way to divide a number by 7 without using a calculator. It can be especially helpful when working with larger numbers or when performing mental math calculations.

Are there any limitations to the "07 division by doubling method"?

While the "07 division by doubling method" is a useful tool, it is not always accurate. It may not work for numbers that are not divisible by 7, and it may produce a different result than traditional long division. Additionally, it may be difficult for some individuals to understand and use this method.

Can the "07 division by doubling method" be applied to other numbers?

Yes, the "07 division by doubling method" can be applied to other numbers by simply changing the number being doubled and subtracted. For example, to divide by 9, you would double the original number and then subtract the original number nine times until you reach a single digit result. This method can also be used for dividing by other numbers, such as 3, 11, or 13.

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