Math Problem Statement

What is division?

Solution

Division is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. It is the process of splitting a number (the dividend) into equal parts. The number by which we divide is called the divisor, and the result is called the quotient.

Key Concepts:

  1. Dividend: The number you want to divide.
  2. Divisor: The number by which you divide the dividend.
  3. Quotient: The result of the division.
  4. Remainder: In some cases, the division does not divide the dividend evenly, leaving a remainder.

Symbol:

Division can be represented by several symbols:

  • The division sign ÷\div
  • A slash (/)
  • A fraction bar numeratordenominator\frac{\text{numerator}}{\text{denominator}}

Example:

Suppose you want to divide 20 by 4.

  • Dividend: 20
  • Divisor: 4
  • Quotient: 20÷4=520 \div 4 = 5

This means that 20 divided by 4 equals 5, which can also be understood as 20 being split into 4 equal parts, with each part being 5.

Division with a Remainder:

If you divide 23 by 5:

  • Dividend: 23
  • Divisor: 5
  • Quotient: 4
  • Remainder: 3

So, 23÷5=423 \div 5 = 4 with a remainder of 3.

Would you like more details or have any questions?

Related Questions:

  1. How does division relate to multiplication?
  2. What is long division, and how is it performed?
  3. How do you divide fractions or decimals?
  4. What is the difference between exact division and division with remainders?
  5. How is division used in algebraic expressions?

Tip:

Remember that division by zero is undefined. Dividing any number by zero does not produce a valid result.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Division

Formulas

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Theorems

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Suitable Grade Level

Grades 3-6