Question: How Do You Show Remainder?

What is the remainder of 17 divided by 3?

Multiply the newest quotient digit (5) by the divisor 3 .

Subtract 15 from 17 .

The result of division of 173 is 5 with a remainder of 2 ..

What are the quotient and remainder when 81 is divided by 3?

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (7) by the divisor 3 . Subtract 21 from 21 . The result of division of 81÷3 81 ÷ 3 is 27 .

How do you find the quotient?

The answer after we divide one number by another. dividend ÷ divisor = quotient. Example: in 12 ÷ 3 = 4, 4 is the quotient.

What is the least number which when divided by?

HCF and LCM #5 If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9. If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9. Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.

How do you find the quotient and remainder?

About Quotient and Remainder Calculator This tool is used to calculate the quotient and remainder of a division of two whole numbers Dividend and Divisor given by Dividend/Divisor = Quotient + Remainder/Divisor.

What is the greatest remainder when you divide by 3?

The greatest remainder you could have with the divisor 3 is 2, with the divisor 8 is 7, and with the divisor 5 is 4. If the remainder is more than the divisor, another group can be divided into the dividend.

How does remainder work?

An amount left over after division (happens when the first number does not divide exactly by the other). Example: 19 cannot be divided exactly by 5. So the answer of 19 ÷ 5 is “3 with a remainder of 4”, which means that 19 can be divided by 5 into 3 parts but with 4 left over, and is usually written “3 R 4”. …

What is the quotient Remainder Theorem?

The quotient remainder theorem says: Given any integer A, and a positive integer B, there exist unique integers Q and R such that. A= B * Q + R where 0 ≤ R < B. We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder.

Why does the remainder theorem work?

The remainder theorem is a close cousin of the factor theorem, and says that when you divide by , the remainder you get is . Notice that this fits perfectly well with the factor theorem: if the remainder when you divide by something is zero, what you divided by is a factor!

What is the easiest way to find remainders?

To find the remainder of a number divided by 3, add the digits of the number and divide it by 3. So if the digits added together equal 8 then the number has a remainder of 2 since 8 divided by 3 has a remainder of 2.

What is the remainder when 54 124 divided by 17?

So the complete congruent equation is (54^124 )Cong (3^124) Cong (3*10^41) Cong (30*2^20) Cong ( 4) (mod 17). Hence the final remainder is 4.

How do you find the remainder on a calculator?

Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that’s left by the divisor of your original problem. The result is your remainder.

How do you use the remainder theorem?

That is, when you divide by “x – a”, your remainder will just be some number. The Remainder Theorem then points out the connection between division and multiplication. For instance, since 12 ÷ 3 = 4, then 4 × 3 = 12. If you get a remainder, you do the multiplication and then add the remainder back in.

How do you find the remainder of a number with power?

Wilson’s TheoremWhen (P-1)! is divided by P, the remainder is (P-1), where P must be a prime number.When (P-2)! is divided by P, the remainder is 1, where P must be a prime number.

What is Remainder Theorem Class 9?

The remainder theorem definition states that when a polynomial f(x) is divided by the factor (x -a) when the factor is not necessarily an element of the polynomial, then you will find a smaller polynomial along with a remainder. … The quotient is x2 – 9x – 27 and the remainder is – 123.

What do you do when you have a remainder?

Long Division with Remainders as Fractions You’re going to do long division the same way—divide, multiply, subtract, bring down, and then you’re going to get a remainder. Instead of writing r and then the number, you are going to take your remainder and make it the numerator of a fraction.