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Using written methods for short division | Year 3 Mathematics PDF Download

Understanding Short Division

  • Short division is a method used to divide numbers that are challenging to do mentally.
  • When using short division, you may encounter a remainder (denoted as 'r'), which can be rounded up or down.
  • To illustrate, let's consider the division problem 365 ÷ 7:
    • We start by seeing if the hundreds digit (3) can be divided by 7, which is not possible.
    • Next, we incorporate the tens digit to form 36 ÷ 7 = 5 remainder 1.
    • Write down the quotient 5 and carry over the remainder 1, making 5 become 15.
      Using written methods for short division | Year 3 Mathematics
    • Proceed with 15 ÷ 7 = 2 remainder 1.
    • Write down these numbers to get the final answer: 52 remainder 1.
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FAQs on Using written methods for short division - Year 3 Mathematics

1. What is short division and how is it different from long division?
Ans. Short division is a method of dividing numbers that involves breaking down the dividend into smaller parts, dividing each part separately, and then combining the results. It is different from long division as it does not involve writing out the full division algorithm with a divisor outside the division bracket.
2. When should one use short division instead of long division?
Ans. Short division is typically used when dividing smaller numbers or when a quick calculation is needed. It is more efficient than long division when the numbers involved are simple and easy to work with.
3. Can short division be used for decimals and fractions?
Ans. Yes, short division can be used for decimals and fractions. When dividing decimals, the process is similar to dividing whole numbers, but the decimal point must be carefully placed in the quotient. For fractions, short division can be used by converting the fractions into decimals first.
4. Is there a specific method to follow when performing short division?
Ans. Yes, there is a specific method to follow when performing short division. The steps include dividing the first digit of the dividend by the divisor, multiplying the divisor by the quotient obtained, subtracting this product from the dividend to get the remainder, and bringing down the next digit to continue the process.
5. How can one practice and improve their skills in short division?
Ans. One can practice short division by solving various division problems regularly. It is important to understand the concept of short division and practice different types of problems to improve skills and speed in performing division calculations.
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