Find the quotient with remainder. 1. 2. 8)30
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Since there are multiple questions posted, we will answer the first question posted (1). If you want the remaining questions to be answered, then please resubmit the questions separately.
1)
The given expression is .
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- Do the division using the c-strips to make a train of as many of the divisor as possible such that the length of the train you make is less than or equal to the length of the dividend, and if you were to add one more of the divisor to the train, it would be longer than the dividend. If the train ends up being the same length as the dividend, there will be no remainder and the second blank will be empty. Make a diagram using c-strips. In terms of the strips: K÷LK÷L = remainder since K=K= ⋅L+⋅L+ In terms of the numbers: ÷÷ = remainder since = ⋅⋅ + Enter the letters from your diagram below: ←← This answer should be an expression with letters and ++ 's.A group of 17 babies are playing with some toy blocks. They put their blocks into 11 equal piles of multiple blocks. There is a twelfth pile that contains 6 leftover blocks. But when they put the blocks into 17 equal piles, there aren’t any left over. What’s the smallest number of blocks they could have? Chinese remainder thUse the quotient remainder theorem and division into casesto show for all integers n, the integer n2 has a remainder of0 or 1 when divided by 3.
- A test for checking computations is called casting out nines. Consider the sum 672 +301 +500=1473. The remainders when 672, 301, and 500 are divided by 9 are 6, 4, and 5, respectively. The sum of the remainders, 15, has a remainder of 6 when divided by 9, as does 1473. Find the following sum and use casting out nines to check. 283 +581 +386 283 + 581 +386 = The remainders when 283, 581, and 386 are divided by 9 are 4, 5, and 8, respectively. When divided by 9, both the sum of these remainders and the sum of the original numbers leave the remainderA fraction is said to be “irreducible” if the numerator and denominator are relatively prime, i.e. if the numerator and denominator have no common divisor. For example, the fraction 2/3 is irreducible, whereas the fraction 4/6 is “reducible” (and in fact it can be reduced to 2/3). 1.Consider the set of fractions {}. How many of these fractions are irreducible? 2. Consider the set of fractions {}. How many of these fractions are irreducible?In decomposing the proper fraction
- 1.What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8 ?2.What are the possible remainders (r ) of a prime number greater than 2 which is divided by 4?3.Given 25 __3__8 what digits must be placed in the blank to make it divisible by 9?1. COMPUTE: the remainder when 2022^2022 is divided by 2023 and the remainder when 2021^2021 is divided by 2022Find an integer that leaves a remainder of 2 whan divided by either 3 or 5, but that is divisible by 4 ?
- 14. Rewrite the division problem to make it easier. Show at least two different divisions for each.Please explain and provide a solution: Remainder 0 or 1 is given when n2 is divided by 3 ( n for all integers). Prove this through division by cases using quotient remainder theorem.5. Find the least positive remainder and quotient of -123455781 when divided by 911.