Question

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10. Take two numbers 9 and 16. Divide 9 by 16 to get the remainder. What is
the remainder when 2 x 9 is divided by 16,3 x 9 divided by 16, 4 x 9
divided by 16,5 x 9 divided by 16. 15 x 9 divided by 16. List the
remainders. Take the numbers 12 and 14. List the remainders of 12,
12 x 2, 12 x 3, 12 x 4, 12 x 5, 12 * 6, 12 x 7,12 x 8, 12 x 9, 12 x 10,
12 x 11, 12 x 12, 12 x 13 when divided by 14. Do you see any difference
between above two cases?
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Answer 1

we know that the division algorithm

we know that the division algorithmDividend=Divisor×Quotient+Remainder

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7The number will be

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7The number will be=9×12+7

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7The number will be=9×12+7=108+7

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7The number will be=9×12+7=108+7=115

we know that the division algorithmDividend=Divisor×Quotient+RemainderHere Divisor=9,Quotient=12,Remainder=7The number will be=9×12+7=108+7=115hence, this is the answer.

Answer 2

Step-by-step explanation:

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