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Fantom [35]
3 years ago
12

2

Mathematics
1 answer:
algol133 years ago
4 0

Answer:

Remainder = 3

Step-by-step explanation:

Given

1\ |\ 1\ \ 2\ \ -3\ \ 3

Required

Determine the remainder

Write down the first digit i.e. 1. So, we have:

1\ |\ 1\ \ 2\ \ -3\ \ 3

--------------------------------

  |\ 1

Multiply that 1 by the divisor (1) i.e. 1 * 1 = 1

Write down the result under the next digit i.e. (under 2)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1

--------------------------------

  |\ 1

Sum 2 and 1 i.e 2 + 1 = 3

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1

--------------------------------

  |\ 1\ \ 3  

Multiply that 3 by the divisor (1) i.e. 1 * 3 = 3

Write down the result under the next digit i.e. (under -3)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3

--------------------------------

  |\ 1\ \ 3  

Sum -3 and 3 i.e -3 + 3 = 0

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3

--------------------------------

  |\ 1\ \ 3\ \ \ 0

 

Multiply that 0 by the divisor (1) i.e. 1 * 0 = 0

Write down the result under the next digit i.e. (under 3)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3   0

--------------------------------

  |\ 1\ \ 3\ \ \ 0

Sum 3 and 0 i.e 3 + 0 = 3

Since there is no other computation to do, the result of the last sum is the remainder.

So:

Remainder = 3

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