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➕pre-algebra review

key term - Division Method

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Definition

The division method is a mathematical operation that involves dividing one number by another to find the quotient. It is a fundamental operation in arithmetic and algebra, and is used to solve a variety of problems, including finding multiples and factors of numbers.

5 Must Know Facts For Your Next Test

  1. The division method is used to find the factors of a number by dividing the number by all possible divisors and identifying the resulting quotients.
  2. When finding multiples of a number using the division method, the divisor is the number whose multiples are being found, and the dividend is a multiple of that number.
  3. The division method can be used to simplify fractions by dividing the numerator and denominator by their greatest common factor.
  4. Division can be used to convert between different units of measurement, such as converting miles to kilometers or pounds to kilograms.
  5. The division method is a fundamental operation in algebra and is used to solve equations, simplify expressions, and find the values of unknown variables.

Review Questions

  • How can the division method be used to find the factors of a number?
    • To find the factors of a number using the division method, you divide the number by all possible divisors and identify the resulting quotients. The divisors that produce a whole number quotient are the factors of the original number. For example, to find the factors of 24, you would divide 24 by 1, 2, 3, 4, 6, 8, 12, and 24. The divisors that produce a whole number quotient (1, 2, 3, 4, 6, 8, 12, and 24) are the factors of 24.
  • Explain how the division method can be used to find multiples of a number.
    • To find the multiples of a number using the division method, the divisor is the number whose multiples are being found, and the dividend is a multiple of that number. For instance, to find the multiples of 7, you would divide 7 into various numbers to see which ones produce a whole number quotient. The numbers that result in a whole number quotient are the multiples of 7, such as 14, 21, 28, 35, and so on.
  • Analyze how the division method can be used to simplify fractions.
    • The division method can be used to simplify fractions by dividing the numerator and denominator by their greatest common factor (GCF). This reduces the fraction to its simplest form. For example, to simplify the fraction $\frac{24}{36}$, you would first find the GCF of 24 and 36, which is 12. Then, you would divide both the numerator and denominator by 12, resulting in the simplified fraction $\frac{2}{3}$. This process of using the division method to find the GCF and then dividing the numerator and denominator by that value is an effective way to simplify fractions.

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