Short Division

Definition

Short division is a method of dividing whole numbers where the divisor is a single-digit number. It involves breaking down the division process into smaller, more manageable steps, making it a more efficient way to perform division calculations compared to long division.

5 Must Know Facts For Your Next Test

1. Short division is particularly useful when dividing larger numbers by single-digit divisors, as it simplifies the calculation process.
2. The key steps in short division include: (1) dividing the divisor into the first digit of the dividend, (2) multiplying the result by the divisor, (3) subtracting the product from the dividend, and (4) bringing down the next digit of the dividend.
3. Short division can be used to divide any whole number, including multi-digit numbers, as long as the divisor is a single-digit number.
4. The quotient in short division is obtained by repeatedly dividing the divisor into the remaining digits of the dividend, with the remainder being the final number left over.
5. Mastering short division is an essential skill for performing basic arithmetic operations and laying the foundation for more advanced mathematical concepts.

Review Questions

• Explain the key steps involved in the short division process.
  • The key steps in short division are: (1) Divide the first digit of the dividend by the divisor to obtain the first digit of the quotient. (2) Multiply the divisor by the quotient digit and subtract the result from the dividend. (3) Bring down the next digit of the dividend and repeat the process until all digits have been divided. The final result is the quotient, and any remaining number is the remainder.
• Describe the differences between short division and long division, and when each method would be more appropriate to use.
  • The primary difference between short division and long division is the complexity of the divisor. Short division is used when the divisor is a single-digit number, while long division is used when the divisor is a multi-digit number. Short division is generally more efficient and easier to perform, making it the preferred method for dividing whole numbers by single-digit divisors. Long division, on the other hand, is necessary when the divisor is larger, as it involves more steps to calculate the quotient and remainder. The choice between short division and long division depends on the specific problem and the size of the divisor.
• Explain how mastering short division can benefit a student's understanding of more advanced mathematical concepts.
  • Mastering short division is a crucial foundation for developing a deeper understanding of mathematics. Short division not only teaches the basic mechanics of division, but it also helps students build number sense, develop problem-solving skills, and gain fluency in basic arithmetic operations. These skills are essential for progressing to more advanced mathematical concepts, such as long division, fractions, algebra, and calculus. By solidifying their proficiency in short division, students will be better equipped to tackle more complex mathematical problems and apply their knowledge to a wide range of real-world situations.

Related terms

Long Division:

A more comprehensive division method used when the divisor is a multi-digit number, requiring multiple steps to calculate the quotient and remainder.

Quotient:

The result of a division operation, representing the number of times the divisor goes into the dividend.

Remainder:

The amount left over after dividing the dividend by the divisor, which is always less than the divisor.