What is a partial quotient?

Asked By: Ziortza Sesay | Last Updated: 31st May, 2020
Category: personal finance home financing
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A partial quotient refers to a method used in solving large division mathematical problems. The method uses simple logic by allowing the student to see the problem in a less abstract form.

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Herein, what is an example of a partial quotient?

The partial quotients method (sometimes also called chunking) uses repeated subtraction to solve simple division questions. When dividing a large number (dividend) by a small number (divisor) Step 1: Subtract from the dividend an easy multiple (for example 100×, 10×, 5× 2×, etc.) of the divisor.

One may also ask, how can you use partial quotients to find 325 divided by 13? Answer

  1. Answer. 4.0/5.
  2. TrevorAStevens.
  3. +9. diavinad8 and 9 others learned from this answer.
  4. 325÷13. Set up the long division. 13|325. Calculate 32 ÷ 13, which is 2 with a remainder of 6. 213|325266. Bring down 5, so that 65 is large enough to be divided by 13. 213|3252665.
  5. Click to let others know, how helpful is it.

Secondly, how is partial quotients similar to distributive property?

Distributive property of division: As per this property division of the sum of two or more numbers by a number gives the same result as dividing each number individually by the number and then adding the numbers together. Therefore, a partial quotient to divide is same as using distributive property by division.

What is partial products in division?

In partial-quotients division, it takes several steps to find the quotient. At each step, you find a partial answer (called a partial quotient); then you find the product of the partial quotient and divisor and subtract it from the dividend. Finally, you add all the partial quotients to find the final quotient.

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Why it can be helpful to use partial quotients when dividing?

This is because the sum of all the partial quotients will lead you to the final quotient. This is a technique in division where you make small estimates to reduce the dividend. Then, when it is reduced completely, you will just add the partial quotients.

What are the different methods of division?

Division is one of the 4 major operations in arithmetic, alongside addition, subtraction, and multiplication. In addition to whole numbers, you can divide decimals, fractions, or exponents. You can do long division or, if one of the numbers is a single digit, short division.

What are compatible numbers?

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier.

How do you divide fractions?

To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one.

How do you read division?


For all three division symbols, we say “divided by.” The division in a is read from left to right: “twelve divided by six.” The division in b is read from top to bottom: “twelve divided by six.” The division in c is written with a division box. We read the number inside the box first: “twelve divided by six.”

How do you use compatible numbers?

Compatible numbers are pairs of numbers that are easy to add, subtract, multiply, or divide mentally. When using estimation to approximate a calculation, replace actual numbers with compatible numbers. The numbers 500 and 300 are compatible for addition, since the sum of 800 can be easily calculated mentally.

How do we divide decimals?

To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

What is the distributive property for 144 divided by 8?

Distributive property of division is that the division of a sum equals the division of the summands. Algebraically, this is: [x + y + z] / a = x/a + y/a + z/a. So, applying this to 144 / 8, you can split 144 as [72 + 32 + 40] / 8 = 72/8 + 32/8 + 40/8 = 9 + 4 + 5 = 18.

What is the distributive property of multiplication?

Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. OK, that definition is not really all that helpful for most people. It is easier to understand the meaning if you look at the examples below.

What strategies can be used to divide whole numbers?


Strategy 2: Equal Groups with Place Value
Create equal groups (amount of circles of the divisor; using our example, make 3 circles). Decompose your dividend into whole numbers. Divide the whole numbers into the equal groups, so that all groups have the same amount of numbers in them.

How do you do long division with 2 digits?

Part 1 Dividing by a Two-Digit Number
  1. Look at the first digit of the larger number.
  2. Look at the first two digits.
  3. Use a little guesswork.
  4. Write the answer above the last digit you used.
  5. Multiply your answer by the smaller number.
  6. Subtract the two numbers.
  7. Bring down the next digit.
  8. Solve the next division problem.

What is the remainder?

In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division).

What is the quotient of a number?

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